Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196 . The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are _____.
a. 180 and 24.39
b. 180 and 28
c. 180 and 1.74
d. 180 and 2
Question 2
John parks cars at a hotel. On average, 6.7 cars will arrive in an hour. Assume a driver's decision on whether to let John park the car does not depend upon any other person's decision. Define the random variable x to be the number of cars arriving in any hour period.
a. What is the appropriate probability distribution for x? Explain how x satisfies the properties of the distribution.
b. Compute the probability that exactly 5 cars will arrive in the next hour.
c. Compute the probability that no more than 5 cars will arrive in the next hour.
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