#21 A true/false quiz consists of 28 questions. If all answers are random guesses, estimate the...

#21

A true/false quiz consists of 28 questions. If all answers are random guesses, estimate the probability of getting at most 18 correct by using the normal distribution as an approximation to the binomial distribution. Enter your answer rounded to four decimal places.

Solutions

Expert Solution

We have given,

n=28
p=0.5

np=14
nq=14

Since, therefore, we need to use here,Normal Approximation for the Binomial Distribution

=P[X<18.5].................by using continuity correction.

=P[Z<1.70]

=0.9554.................by using Z table.

orchestra answered 1 year ago

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