Question

OUTCOME 4: There is a 70% Chance that a student will pass a statistics course if I randomly choose a group of five students find the probability that exactly two will pass the course and explain how you derived your solutions

Answer 1

The required probability is
`(1323)/(10000)`

Explanation:

It is given that The chance, that a student will pass the statistic course is
`(70)/(100)`

Hence, The chance that a student will fail in the statistic course is
`(100 - 30)/(100) = (30)/(100)`

Any 2 students from the total of 5 students can be choosen in
`^(5)C_2 = (5!)/(3! *2!) = 10` ways.

Hence, the probability will be
`10* [(70)/(100)] ^(2) *[(30)/(100) ]^(3) = (49*27)/(10000) = (1323)/(10000)`