Statistics and Probability Answers

give the population 3,5,8,9, and 10. Suppose sample of size 4 are drawn from this population

Suppose the time it takes a student to finish a quiz is uniformly distributed between six and 22 minutes, inclusive.

1) Find the value of a=  

 2) Find the value of b=  

3) Find the value of h =    4 d.p.

4) Find the mean time to fix the furnance =       up to 2 d.p.

5) Find the standard deviation time to fix the furnance =    up to 2 d.p.

6) Find the probability  P( x ≤ 19)  =   in %

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?

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

A committee of 4 men and 6 women is to be selected from 7 men and 8 women. If there is a married couple among the 15 people, in how many ways can the committee be selected so that the couple are automatically in the committee?

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

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?

On the menu list of a restaurant, there are 4 vegetables, 3 salads and 2 types of bread. If a customer wants one vegetable, one salad and one bread, how many possible choices are there for him?

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

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?