Abasketball player makes 39% of her shots from the free throw line. suppose that each of her shots can be considered independent and that she takes 5 shots. let x = the number of shots that she makes. what is the standard deviation for x?

1.09

Step-by-step explanation:

Given : A basketball player makes 39% of her shots from the free throw line.

i.e. Proportion of her shots from the free throw line: p= 0.39

We assume that each of her shots can be considered independent .

She takes 5 shots.

i.e. Number of trials : n= 5

Let x = the number of shots that she makes.

Then , the standard deviation for x will be :-

Hence, the standard deviation for x= 1.09

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18