88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?

Answers

Answer 1

Answer:

a) [tex]P(D'/L)=0.03[/tex]

b) [tex]P(D/L')=0.7[/tex]

Step-by-step explanation:

From the question we are told that

Probability of discovered [tex]P(D)=0.88[/tex]

Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]

Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]

Generally the probability that aircraft are not discovered is mathematically given as

[tex]P(D')=1-0.88[/tex]

[tex]P(D')=0.12[/tex]

Generally the probability that aircraft with locator are discovered is mathematically given as

[tex]P(L'/D)=1-0.72[/tex]

[tex]P(L'/D)=0.28[/tex]

Generally the  Probability of lost aircraft without locator mathematically given as

[tex]P(L/D')=1-0.86[/tex]

[tex]P(L/D')=0.14[/tex]

Generally the  Probability of having a locator mathematically given as

[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]

[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]

[tex]P(L)=0.6504[/tex]

a)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]

[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]

[tex]P(D'/L)=0.0258302583[/tex]

[tex]P(D'/L)=0.03[/tex]

b)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]

[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]

[tex]P(D/L')=0.704805492[/tex]

[tex]P(D/L')=0.7[/tex]


Related Questions

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Answers

Their mistake was doing run over rise so the correct equation should be y= -2/3x -4. I hope this helps

Answer:

y=6

Step-by-step explanation:

y= -3/2(-4) : y=4

y=-2 3/4(-4)

y=3/2. 4

y= 3×4/2

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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What is a sum of 1/2 and 3/10 in simplest from

Answers

Answer:

4/5

Step-by-step explanation:

1/2=5/10

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Answer:

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Step-by-step explanation:

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Bella and Zoe went blueberry picking. Their blueberries weighed a total of 23.4 ounces. If Bella's
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Answers

Answer:

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Step-by-step explanation:

23.4 - 11.9 = 11.5 ounces

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Step-by-step explanation:

.....................

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Answer:

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Answers

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Answer:

Two slots, numbered 0 and 00, are green.  

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Step-by-step explanation:

Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she began working in the store?
A. 24
B. 27
C. 48
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Answers

Answer:

A. 24

Step-by-step explanation:

A. 24
36-12=24
This is the final answer for this question.

Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?


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Answers

Answer:

per year: $47,760 per year

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Step-by-step explanation:

$3980 per month x 12 months = $47,760 per year

$47,760 per year divided by 52 weeks = $918.4615384615

Since we're talking money, let's round off our answer to the hundredths place ($918.46 per week)

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Step-by-step explanation:

$3,980 x 12= $47760

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Given the function f(x) =2x+5 what would the output be with an input of 6?

Answers

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How do I turn 42-5=37 into 42=37+5?

Answers

Answer:

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Answer:

you move the -5 to the other side equation

Enter the value for x that makes the equation true.​

Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

the answer to the problem- 1.5

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Answers

Answer:22%

Step-by-step explanation:

The simplest form of the total of 75/6 would be 432 / 7500.

What is the percentage?

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Given that out of 75/6 is 72%.

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We need to find the value of total x.

x of 75/6 = 72%.

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Cross multiplication;

x = 72/100  ×  6/75

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brainly.com/question/24159063

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Greta currently works 45 hours per week and earns a weekly salary of $729. She
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PLEASE SHOW YOUR WORK!!

Answers

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

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I was challenged to write this in a single equation:

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Answer:

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Sum of angles inside a triangle is 180 degrees

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Answers

Answer:

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Step-by-step explanation:

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A publisher reports that 40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer:

[tex]p-value = 0.9953[/tex]

Step-by-step explanation:

Given

[tex]P = 40\%[/tex] --- proportion of population

[tex]n = 200[/tex] -- samples

[tex]p = 31\%[/tex] -- proportion of samples

Required

Determine the p value

First, calculate the standard deviation ([tex]\sigma[/tex])

[tex]\sigma = \sqrt{\frac{P*(1 - P)}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.40*0.60}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.24}{200}}[/tex]

[tex]\sigma = \sqrt{0.0012}[/tex]

[tex]\sigma = 0.0346[/tex]

Next, we calculate the z score

[tex]z = \frac{p - P}{\sigma}[/tex]

[tex]z = \frac{40\% - 31\%}{0.0346}[/tex]

[tex]z = \frac{9\%}{0.0346}[/tex]

[tex]z = \frac{0.09}{0.0346}[/tex]

[tex]z = 2.6012[/tex]

[tex]z \approx 2.60[/tex]

From the z table, the p value of [tex]z = 2.60[/tex] is: 0.9953

Hence:

[tex]p-value = 0.9953[/tex]

The sum of the digits in a two-digit number is 16. The digit in the tens place is 2 more than the digit in the
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(x + y = 16
Ix-y=2
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Answer:

kapag napag aralan mo yan beh malalaman mo yung sagot kapit lang tiwala ka lang pag aralan mo tignan mo malalaman mo yung sagot jan wag kang magagalit dahil totoo yung sinbi ko cge keep safe and god bless..

A pet store has 9 ​puppies, including 2 ​poodles, 2 ​terriers, and 5 retrievers. If Rebecka and​ Aaron, in that​ order, each select one puppy at random with replacement​ (they may both select the same​ one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.

Answers

Answer:

5/162

Step-by-step explanation:

Probability of getting terrier = 2/18 = 1/9

Probability of getting retriever = 5/18

5/18 x 1/9 = 5/162

Hope that helps!

Lin is paid 90$ for 5 hours of work?


At this rate, how much would Lin be paid for 5.5 hours of work?

Answers

Answer:

99 dollars

Step-by-step explanation:

90 divided by 5 equals 18 slice that in half you get 9.

90 + 9 =99

Answer:

the awnser for this question is 99 hope this helps

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Answer:

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Step-by-step explanation:

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