A survey indicates that 41 of women in the United States con

A survey indicates that 41% of women in the United States consider reading as their favorite leisure time activity. You randomly selected four women and ask them if reading is their favorite leisure time activity. Find the probability that fewer than two of them respond yes.

Solution

Here n=4, p=0.41,q=0.59 and x=2
Now P( x<2)=P(0)+P(1)

Using binomial distribution we

P(0)=0.121,P(1)=0.337

So P(x<2)=0.121+0.337=0.458