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with n=30 and p=0.50 estimate p (fewer than 12)

with n=30 and p=0.50 estimate p (fewer than 12)

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Answer #1

Solution :

Given that,

p = 0.50

q = 1 - p = 0.50

n = 30

Using binomial distribution,

= n * p = 30 * 0.50 = 15

= n * p * q = 30 * 0.5 * 0.5 = 2.7386

Using continuity correction ,

= P((x - ) / < (11.5 - 15) / 2.7386)

= P(z < -1.28)

= 0.1003

Probability = 0.1003

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