1. Of all 3 – 5 year old children, 71% are enrolled in school.If a sample of 400 children are randomly selected, what is the probability thatat least 300 will be enrolled in school. 2. 5% of theater...

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1. Of all 3 – 5 year old children, 71% are enrolled in school. If a sample of 400 children are randomly selected, what is the probability that at least 300 will be enrolled in school.

2. 5% of theater patrons do not show up for the performance. If the theater has 120 seats, what is the probability that 6 or more will not show up to a particular performance?

Answered Same DayDec 31, 2021

Answer To: 1. Of all 3 – 5 year old children, 71% are enrolled in school.If a sample of 400 children are...

David answered on Dec 31 2021

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1. Of all 3 – 5 year old children, 71% are enrolled in school. If a sample of 400 children are randomly selected, what is the probability that at least 300 will be enrolled in school.
Answer:
We have p = 0.71 and n = 400
Since np = 400 x 0.71 = 284 and n (1 – p) = 400 x (1 – 0.71) = 116 both are greater than 5, we use normal approximation to binomial.
Mean, µ= np = 400 x 0.71 = 284
Standard deviation, σ = √ n p (1 – p) = √ 400 x 0.71 x 0.29 = 9.075
Using...

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1. Of all 3 – 5 year old children, 71% are enrolled in school.If a sample of 400 children are randomly selected, what is the probability thatat least 300 will be enrolled in school. 2. 5% of theater...

Answer To: 1. Of all 3 – 5 year old children, 71% are enrolled in school.If a sample of 400 children are...

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