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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)
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Answer:

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

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