Taking the train Refer to Exercise 72. (a) Find the probability that the train arrives

Chapter 6, Problem 80

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QUESTION:

Taking the train Refer to Exercise 72. (a) Find the probability that the train arrives late on exactly 2 days. Show your work. (b) Would you be surprised if the train arrived late on 2 or more days? Compute P(W 2) and use this result to support your answer.

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QUESTION:

Taking the train Refer to Exercise 72. (a) Find the probability that the train arrives late on exactly 2 days. Show your work. (b) Would you be surprised if the train arrived late on 2 or more days? Compute P(W 2) and use this result to support your answer.

ANSWER:

Step 1 of 3

The given claim that the 8:00 a.m. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day is true.

Let W be a random variable representing the number of days on which the train arrives late, follows the binomial distribution with parameters n and p.

Where,

x is the number of successes.

p is the probability of success and q is the probability of failure.

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