Find the following probability given the sample size Round y

Solution

Find the following probability, given the sample size. Round your answer to 3 decimal places.

P(X<5), n=6, p=0.4

P(X=x) = (_nC_x) p^x (1-p)^n-x   

P( X<5) = 1-( p( x=5) +p( x=6))

= 1-( 0.0369+ 0.0041)

= 1-0.0410

=0.9590