Question

Consider a binomial experiment with n = 20 and p = .70.

If you calculate the binomial probabilities manually, make sure to carry at least 4 decimal digits in your calculations.

a) Compute f(12) (to 4 decimals).
b) Compute f(16) (to 4 decimals).
c) Compute P(x 16) (to 4 decimals).
d) Compute P(x 15) (to 4 decimals).
e) Compute E(x). 14
f) Compute Var(x) (to 1 decimal) and (to 2 decimals).
Var(x)
o

Answer 1

Explanation:

Given that X is binomial n=20: p=0.70

a) Compute f(12) (to 4 decimals).

=
`0.1144`

b) Compute f(16) (to 4 decimals).

=
`0.1304`

c) Compute P(x <16) (to 4 decimals).

=
`0.7624`

d) Compute P(x <15) (to 4 decimals).

=
`0.5836`

e) Compute E(x). =np = 14

f) Compute Var(x) (to 1 decimal) and (to 2 decimals).

Var(x)=npq=4.2