Question

In: Statistics and Probability

Find the following probabilities a. P(X = 2) when X ∼ Bin(4,0.6) b. P(X > 2)...

Find the following probabilities

a. P(X = 2) when X ∼ Bin(4,0.6)

b. P(X > 2) when X ∼ Bin(8, 0.5)

c. P(X ≤ 2) when X ∼ Bin(5, 0.5)

d. P(3 ≤ X ≤ 5) when X ∼ Bin(6, 0.3)

Solutions

Expert Solution

a. P(X = 2) when X ∼ Bin(4,0.6)

This is a binomial distribution question with

n = 4

p = 0.6

q = 1 - p = 0.4

where

Please hit thumps up if the answer helped you

b. P(X > 2) when X ∼ Bin(8, 0.5)

c. P(X ≤ 2) when X ∼ Bin(5, 0.5)

d. P(3 ≤ X ≤ 5) when X ∼ Bin(6, 0.3)

This is a binomial distribution question with

n = 6

p = 0.3

q = 1 - p = 0.7

where

Please hit thumps up if the answer helped you


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