According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?

Answers

Answer 1

Answer:

0.5819 = 58.19% probability that five or more families have life insurance

Step-by-step explanation:

For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

77% of husband-wife families with kids under 18 years old have life insurance.

This means that [tex]p = 0.77[/tex]

A random sample of six husband-wife families was selected.

This means that [tex]n = 6[/tex]

What is the probability that five or more families have life insurance?

This is

[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]

[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]

0.5819 = 58.19% probability that five or more families have life insurance


Related Questions

The Bayesian statistician Bruno de Finetti (1906–1985) began his 1973 book on probability theory with the declaration: "PROBABILITY DOES NOT EXIST." The capitals appeared in the original, so I imagine de Finetti wanted us to shout this statement. What he meant is that probability is a device for describing uncertainty from the perspective of an observer with limited knowledge; it has no objective reality. Discuss the globe tossing example from the chapter, in light of this statement. What does it mean to say "the probability of water is 0.7"?

Answers

Answer:

It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

!!! ASAP! PLEASE ANSWER WILL GIVE A LOt OF POINTS AND MARK BRAINLIEST !!!!!

Answers

Answer:

80 minutes

35.2 km

Step-by-step explanation:

You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.

The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal

That means that

.44t = 35t + 7.2                     Subtract 0.35t  from both sides

0.44t - .35t = 7.2      

0.09 t  = 7.2                          Divide

t = 7.2/0.09

t = 80 minutes

How far apart are they from the starting point?

d = 0.44t

d = 0.44 * 80

d = 35.2 km from the starting point.

two balls are chosen randomly from an urn containing 5 white, 3 black, and 2 orange balls. suppose that you win $2 for each black ball selected and you lose $1 for each white ball selected. what is the expected amount you will win from this game

Answers

Answer:

2.601

Step-by-step explanation:

Given that:

White balls, W = 5

Black balls, B = 3

Orange balls, O = 2

Total = (5 + 3 + 2) = 10

Winning = $2 for each black ball chosen

Winning = - $1 for each white ball

Sample space for making 2 selections ; order does not matter :

{WW, WO, WB, OO, OB, BB}

WW __WO __WB __OO ___OB __BB

-2 ____ - 1 __ 1 ____ 0 ____ 2 ___ 4

WW = 5C2 / 10C2 = 0.2222

WO = (5C1 * 2C1) / 10C2) = 0.222

WB = (5C1 * 3C1) / 10C2) = 0.3333

OO = (2C2) / (10C2) = 0.0222

OB = ((2C1) * (3C1)) / 10C2 = 0.1333

BB = 3C2 / 10C2 = 0.0667

Expected winning = Σx * p(x)

(-2 * 0.222) + (-1 * 0.222) + (1 * 0.333) + (0 * 0.022) + (2 * 0.133) + (4 * 0.667)

= 2.601

find x. and rounddddd

Answers

Answer:

X=117.9

Step-by-step explanation:

I got itttt

If there are 9 hippos, how many pumpkins do you need?

Answers

Answer:

9 go to the store rn.

Your teacher gave you 5 of a bag of candy, but she only
gave your friend of a bag.
How much more of the bag did your teacher give you than
your friend?

Answers

Think of it as it being 5 - 1 which equals 4. So you would have four more than her
you have 4 more bags than your friend because 5-1 is 4 :3 hope this helped

PLEASEEE HURRY I WILL GIVE BRAINLEST ITS JUST ONE QUESTION

This is literally my last try and if I get this wrong I fail PLEASE answer it correctly that’s all I ask.

(I just need the last question. The multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)

Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.

Answers

i think it’s is A make me brainliest

The summer sports training camp has a maximum capacity of 250 students. If 85 have preregistered, then how many students can still participate? Write and solve an inequality.

Answers


Solving by an inequality is : x ≤ 130

What is the average rate of change between:
x= 1 and x = 2?
x = 2 and x = 3?
x= 3 and x = 4?

Answers

Answer:

The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

Step-by-step explanation:

Plz help me with this I’m stuck

Answers

Answer:

I belive the answer to this is D or A

Step-by-step explanation:

But I strongly think its A

Answer:

The answer is A

A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or False:
a) The probability that an item produced by this process is defective is 0.15.
b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Answers

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

Number of defective samples = 15

Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8. Determine the mean of the lengths. Mean (in tenths of millimeters) Round your answer to two decimal places (e.g. 98.76).

Answers

Answer:

The mean of the lengths is 0.35 tenths of millimeters

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and it's mean is given by:

[tex]M = \frac{a+b}{2}[/tex]

The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8.

This means that [tex]a = 0, b = 590.8 - 590.1 = 0.7[/tex]

So, the mean is:

[tex]M = \frac{a+b}{2} = \frac{0 + 0.7}{2} = 0.35[/tex]

The mean of the lengths is 0.35 tenths of millimeters

2(3x + 2) = 2x - 1+x.

Answers

Answer:

x = -5/3

Step-by-step explanation:

Hope this helps!

Best of luck!♥

6x+4=3x-1
-4
6x=3x-5
-3x both sides
combine like terms
3x=-5
/3
x=-5/3

Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the same amount of fruit. Maylin believes the greatest number of baskets they can make is 6, and Nina believes the greatest number of baskets they can make is 9. Determine who is correct. Explain how you know.

describe the error made by the person who was incorrect

Then determine the number of each fruit that will be in each basket. Show your work

Answers

Answer:Nina

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can

Answers

Answer:

the first answer is 104 square units

I forgot how to answer the surface area for the second prism sorry.

Step-by-step explanation:

what is the answer of this question? ​

Answers

Answer:

Its B.

Step-by-step explanation:

Because [tex]11^{2}[/tex] + [tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]

121 + 144 [tex]\neq[/tex] 225

265 [tex]\neq[/tex] 225

The ferris wheel with a diameter of 150 feet at the fair is out of control and is moving at 60 degrees per second. How many miles per hour is someone moving as it spins out of control?

*There are 5,280 feet in a mile.

Answers

Answer:

Step-by-step explanation:

Write 2 1/2 miles in 3/4 hour as a unit rate

Answers

Answer:

3 1/3 mph

Step-by-step explanation:

2.5 ÷ 0.75 = 3.3

or

5/2 ÷3/4 = 5/2 · 4/3 = 20/6 or 10/3 = 3 1/3

50 POINTS TO CORRECT ANSWER otherwise will be reported

The sum of two natural numbers is 17402. One of the two numbers is divisible by 10. If the units digit of that number is erased, the other number is obtained. What is the difference of these two numbers?

a) 10,272
b) 11,700
c) 13, 362
d) 14, 238
e) 15426

Answers

9514 1404 393

Answer:

  d)  14,238

Step-by-step explanation:

Suppose the smaller number is n. If the larger number gives the smaller when it is divided by 10, then the larger number is 10n. The sum of the two numbers is ...

  n + 10n = 11n = 17402  ⇒  n = 17402/11

The difference of the two numbers is ...

  10n -n = 9n = (9)(17402/11)

This means the difference of the two numbers is 9/11 of the sum, so is ...

  (9/11)(17402) = 14,238 . . . . matches D

Negative thirteen decreased by 3 times a number

Answers

Answer:

-13-x(3)

Step-by-step explanation:

Hope this helps :)

The expression in the mathematical form will be 3x + 13.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Negative thirteen decreased by 3 times a number. Then the expression in the mathematical form is given as,

Let x be the number. Then the expression will be

⇒ 3x - (-13)

⇒ 3x + 13

The expression in the mathematical form will be 3x + 13.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Help and you get candy :3

Georgia is making necklaces. Each necklace has 3 blue beads and 5 red beads. How many red beads will she need to make 8 necklaces?

A. 25 red beads
B. 30 red beads
C. 35 red beads
D. 40 red beads

Answers

Answer:

40

Step-by-step explanation:

5 x 8 = 40

40 reds beads because 5×8 = 40

please helpp please
im in deep need to learn this
please

Answers

Answer:

C

Step-by-step explanation:

i think because the bottom of the triangles are the denominators and the x is the numerator

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

i cant see the question

Step-by-step explanation:

Answer:

Point Form:

(

4

11

,

19

11

)

Equation Form:

x

=

4

11

,

y

=

19

11

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

B, C, and D

What is the area of the shaded region?

Answers

Answer:

66ft^2

Step-by-step explanation:

It can be located at the center of a polygon or at the sides of the polygon


A biker rode for 2.5 hr. at an average rate of 12 mi./hr. Find the distance traveled.

Answers

Answer:

30 miles

Step-by-step explanation:

12x2.5=30

4. Write the equation of the line shown in the graph below. I​

Answers

Answer:

y=2x-1

Step-by-step explanation:

Answer: y= -1 +2x

Step-by-step explanation:

you go with the minus one because thats where it intecepts y and you go with 2x because thats the slope it is going up 2 on y for every 1 on the x

On a map, the scale is 1 inch to 400 miles. If the
trip from Corpus Christi to El Paso is 600 miles,
how far apart will those cities appear on the map
(in inches)?

Answers

1 and 1/2 inches apart. Since 1 inch is 400 miles half of an inch would be 200 miles!

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

Rewrite 30x + 75 using the distributive property with the greatest
common factor located in front of the parentheses.
PLEASE ASAP

Answers

Step-by-step explanation:

15(2x + 5)

because 15 is the GCF of 30 and 75

You take a 325 milligram dosage of ibuprofen. During each subsequent hour, the amount of medication in
your bloodstream decreases by about 29% each hour

Answers

Answer:

oka so now what

Step-by-step explanation:

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