Question: QUESTION 1 The time between customers arriving to a post office is assumed to have an exponential distribution with a rate of 3 people per

QUESTION 1

The time between customers arriving to a post office is assumed to have an exponential distribution with a rate of 3 people per minute. Suppose you've been to the post office and when you leave it's empty. What is the probability that it remains empty for more than 2 minutes?

QUESTION 2

The expected time between accidents on a motorway is 3 days. What is the probability that more than a week goes by before an accident occurs?

QUESTION 3

Suppose a normal distribution has a mean of 10 and a standard deviation of 2.5. What is the z-value of x = 6.5

QUESTION 4

XN(=10,=2)

Find the probability that x is between 10 and 13.

QUESTION 5

IQ is normally distributed with a mean of 110 and a standard deviation of 20. Find the probability that a randomly chosen person has an IQ greater than 125.

QUESTION 6

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 23 days and a standard deviation of 6. 60% of all trials of this are completed within how many days?

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