The Binomial Distribution Worksheet Page 5

and locate the interval µ ± 2σ on the graph.

f. Graph the probability distribution of

Exercise 1. If x is a binomial random variable with p = 0.2 and n = 20. Compute

a. Compute P(x = 0) using binomial formula

b. Compute P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2) using binomial formula (p. 191)

c. Compute the expected value µ of x

d. Compute the standard deviation σ of x

e. Compute the following probabilities using tables and then calculator…)

P(x ≤ 4)

ii.

P(x > 3)

iii.

P(x = 5)

P(x ≥ 16)

iv.

P(2 ≤ x < 8)

P( 1 < x ≤ 6)

vi.

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