Random samples of size 49 are taken from a population that has ...

[londonang]

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.

[Dnite]

Answer to Question 1

c

Answer to Question 2

a. Poisson
b. .1385
c. .3406

[londonang]

Excellent

[raili21]

Thanks for the timely response, appreciate it