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In: Statistics and Probability

among 3000 college students 13% are over 21 years old what is the probability that out...

among 3000 college students 13% are over 21 years old what is the probability that out of a sample of 550 students at least 15% are 21 years old

Solutions

Expert Solution

Solution

Given that,

p = 0.13

1 - p = 1 -0.13 = 0.87

n = 550

= p = 0.13

=  [p( 1 - p ) / n] = [0.13*(0.87) /550 ] = 0.0143

P( 0.15) = 1 - P( 0.15 )

= 1 - P(( - ) / (0.15 -0.13) /0.0143 )

= 1 - P(z 1.40 )

= 1 - 0.9192 = 0.0808

probability = 0.0808

orchestra answered 2 years ago
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