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ziro4ka [17]
3 years ago
13

An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passenger

s, almost 80% did so. Suppose that for a particular route the actual percentage is exactly 80%, and consider randomly selecting nine passengers. Then x, the number among the selected nine who rested or slept, is a binomial random variable with n = 9 and p = 0.8. (Round your answers to four decimal places.)
(a) Calculate p(6).
p(6) =

Interpret this probability.

This is the probability that exactly 6 out of 10 selected passengers rested or slept.This is the probability that at least 6 out of 9 selected passengers rested or slept. This is the probability that at least 6 out of 10 selected passengers rested or slept.This is the probability that exactly 6 out of 9 selected passengers rested or slept.


(b) Calculate p(9), the probability that all nine selected passengers rested or slept.
p(9) =

(c) Determine P(x ≥ 6).
P(x ≥ 6) =
Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of passengers that rest or sleep during a flight.

The sample taken is n=9 passengers and the probability of success, that is finding a passenger that either rested or sept during the flight, is p=0.80.

I'll use the binomial tables to calculate each probability, these tables give the values of accumulated probability: P(X≤x)

a. P(6)= P(X=6)

To reach the value of selecting exactly 6 passengers you have to look for the probability accumulated until 6 and subtract the probability accumulated until the previous integer:

P(X=6)= P(X≤6)-P(X≤5)= 0.2618-0.0856= 0.1762

b. P(9)= P(X=9)

To know the probability of selecting exactly 9 passengers that either rested or slept you have to do the following:

P(X≤9) - P(X≤8)= 1 - 0.8657= 0.1343

c. P(X≥6)

To know what percentage of the probability distribution is above six, you have to subtract from the total probability -1- the cumulated probability until 6 but without including it:

P(X≥6)= 1 - P(X<6)= 1 - P(X≤5)= 1 - 0.0856= 0.9144

I hope it helps!

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Answer:

The answer is 49 if we are to assume you meant 7.11 and not 7,11.

If you meant 7,11 - the answer is 28.5.

Step-by-step explanation:

If we are assuming you meant "7,11" and not "7.11", then we would start by removing the lowest and highest numbers from the list respectively, and repeating the process until you only have 1 or 2 numbers left.

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