Verify two conditions (a)n<0.05N (b)np(1−p)≥10 to find whether the sampling distribution is approximately normal. And determine μp^ and σp^ from the given parameters. Assume the size of the population is 25,000. n = 200 p = 0.75

your answer would be 12

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: