A certain egg hatches 60% of the time. A.) if there are 5 eggs what is the proba

Question

A certain egg hatches 60% of the time. A.) if there are 5 eggs what is the probability 3 or more will hatch? B.) if there are 7 eggs what is the probability 3 or fewer will hatch? A certain egg hatches 60% of the time. A.) if there are 5 eggs what is the probability 3 or more will hatch? B.) if there are 7 eggs what is the probability 3 or fewer will hatch? A.) if there are 5 eggs what is the probability 3 or more will hatch? B.) if there are 7 eggs what is the probability 3 or fewer will hatch?

Explanation / Answer

P(X) = nCx px qn-x

A) n = 5

p = 0.6

q = 0.4

P(3 or more will hatch) = P(3) + P(4) + P(5)

= 5C3x0.63x0.42 + 5C4x0.64x0.4 + 0.65

= 0.3456 + 0.2592 + 0.0778

= 0.6826

B) n = 7

p = 0.6

q = 0.4

P(3 or fewer will hatch) = P(0) + P(1) + P(2) + P(3)

= 0.47 + 7C1x0.6x0.46 + 7C2x0.62x0.45 + 7C3x0.63x0.44

= 0.0016 + 0.0172 + 0.0774 + 0.1936

= 0.2898

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