Question

In a survey, three out of four students said that courts show too much concern for criminals. Find the probability that of seventy randomly selected students

At most 56 feel that courts show too much concern

Answer 1

Ans ->

Given, Probability of students feel that courts show too much concern = 3/4 =0.75

Number of students selected = 70

Maximum number of student feel that courts show too much concern = 56

In given scenario, it follows binomial distribution with p =0.75, n=70

To calculate probability that at most 56 student feel that courts show too much concern, we will use Cumulative Distribution Function (CDF)

F(k=56,n=70,p=0.75)

= P(X ≤ 56)

=

= dt

=(14) dt

By solving above equation

P(X ≤ 56) =0.86663765373

Probability that of seventy randomly selected students At most 56 feel that courts show too much concern = 0.86663765373