x is a binomial random variable. (Give your answers correct to three decimal pla

Question

x is a binomial random variable. (Give your answers correct to three decimal places.)

(a) Calculate the probability of x for: n = 6, x = 1, p = 0.65 P(x) =

(b) Calculate the probability of x for: n = 9, x = 8, p = 0.1 P(x) =

(c) Calculate the probability of x for: n = 8, x = 1, p = 0.45 P(x) =

(d) Calculate the probability of x for: n = 6, x = 5, p = 0.35 P(x) =

(e) Calculate the probability of x for: n = 8, x = 2, p = 0.65 P(x) =

(f) Calculate the probability of x for: n = 3, x = 1, p = 0.5 P(x) =

Explanation / Answer

a) n = 6, x = 1, p = 0.65

P = 6C1 * 0.65^1 * 0.35^5

P = 0.020

Similarly:

b) n = 9, x = 8, p = 0.1

P = 0.000000081

P = 0.000 (rounding off)

c)  n = 8, x = 1, p = 0.45

P = 0.055

d) n = 6, x = 5, p = 0.35

P = 0.020

e) n = 8, x = 2, p = 0.65

P = 0.022

f) n = 3, x = 1, p = 0.5

P = 0.375

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