The number of golf balls ordered by customers of a pro shop has the following probability distribution. x p(x)
3 0.14
6 0.03
9 0.36
12 0.37
15 0.10
a. What are the requirements for a probability distribution table?
A. x is a random variable
B. The sum of P(x) must equal 1
C. Each probability p(x) must be between 0 and 1 inclusive
D. All the above
b. Find the mean for the random variable x. (round to a whole number)
c. Find the standard deviation of the random variable x. (round to a whole number)
d. Based on the table results would be significanlty high to place an order of 15 golf balls?
A. No, 15 is not a significantly high number of golf balls, because the probability of 15 is greater than 0.05
B. Yes, 15 is a significantly high number of golf balls, because the probability of 15 is less than 0.05
C. No, 15 is not a significantly high number golf balls, because the probability of 15 is less than 0.05
D. Yes, 15 is a significantly high number of golf balls, because the probability of 15 is greater than 0.05
E. No, 15 is not a significantly high number of golf balls, it is a low number of golf balls