1 part a) A local eat-in pizza restaurant wants to investigatethe possibility of starting to deliver pizzas. The owner of thestore has determined that home delivery will be successful if theaverage time spent on the deliveries does not exceed 30 minutes.The owner has randomly selected 17 customers and has deliveredpizzas to their homes in order to test if the mean delivery timeactually exceeds 30 minutes. Suppose the P-value for the test wasfound to be 0.0266. State the correct conclusion.

A) At α = 0.05, we fail to reject H0.

B) At α = 0.03, we fail to reject H0.

C) At α = 0.02, we reject H0.

D) At α = 0.025, we fail to reject H0.

part b) According to insurance records a car with a certainprotection system will be recovered 93% of the time. Find theprobability that 5 of 9 stolen cars will be recovered.

A) 0.93

B) 0.002

C) 0.07

D) 0.556

part c) Numbered disks are placed in a box and one disk isselected at random. If there are 6 red disks numbered 1 through 6,and 4 yellow disks numbered 7 through 10, find the probability ofselecting a yellow disk, given that the number selected is lessthan or equal to 3 or greater than or equal to 8.

A) 3/5

B) 1/2

C) 3/4

D) 3/10

part d) The length of time it takes college students to find aparking spot in the library parking lot follows a normaldistribution with a mean of 5.0 minutes and a standard deviation of1 minute. Find the cut-off time which 75.8% of the college studentsexceed when trying to find a parking spot in the library parkinglot.

A) 5.5 min

B) 5.8 min

C) 5.7 min

D) 5.3 min