Statistics and Probability Answers

A candy factory produces the candy boxes which include 100 parts in each box. According to the quality control section, 95% of candies are qualified. (a)What is the probability that more than 2 candies in a given box will be non qualified? (b) What is the probability that more than 10 candies in a given box will be non qualified?

In a beauty salon, the waiting time to receive a haircut service is a random variable with a continuous uniform distribution. A calling for a new haircut service is every 10 minutes. (a) What is the probability that a customer waits for a new call more than 7 minutes? (b) What is the probability that a customer waits for a new call between 2 and 7 minutes?

 In Istanbul, on average, 6 Leveche (lodos) occur every year. (a) What is the probability that in a given year, number of lodos is fewer than 4 in Istanbul? (b) What is the probbaility that in a given year, number of lodos is from 6 to 8 in Istanbul? 

Three sets of twins are to pose for photographs. How many photographs are possible if each set of the twins are to stand close to each other?

In how many ways can 6 people be seated for group photographs if there are only 4 seats?

How many ways can 4 baseball players and 3 basketball players be selected from 12 baseball players and 9 basketball players?

12 students are to pose for photographs after a social gathering at FCT. 4 students are from Lagos state, 3 are from Kano state and the remaining are from Kwara state. How many possible photographs can they take if students from the same state must stand close to one another?

How many ways can 3 cars and 4 trucks be selected from 8 cars and 11 trucks to be tested for a safety inspection?

12 jobseekers applied for 3 available vacant positions in a company. In how many ways can the job be offered among these applicants if a particular applicant must be employed?

In how many ways can a family of six be seated on a bench if the parents must sit at both ends?