In a large metropolitan area, past records revealed that 30% of all the high school graduates go to college. from 20 graduates selected at random (n=20), what is the probability that exactly 8 will go to college?

0.1144

Step-by-step explanation:

Binomial probability formula :-

, P(X) is the probability of getting success in x trials , n is total n umber of trials and p is the probbaility of getting success in each trial.

Given : The proportion of high school graduates go to college : p=0.30

Sample size : n= 20

The probability that exactly 8 will go to college is given by :-

Hence, the probability that exactly 8 will go to college = 0.1144

hello,

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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