g A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. If 18 of these seniors are selected at random and asked their opinion, what is the probability that more than 9 but fewer than 14 disapprove of smoking pot daily

the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Step-by-step explanation:

From the information given:

Let N represent the total number of senior students

N = 17000

and k to be the number of seniors disapproving of daily pot smoking

k = 17000 × 0.70

k = 11900

sample size n = 18

Suppose X represents the random variable...

Then,

X = 0,1,2,...,18

Thus X follows a hypergeometric distribution with parameters

(N = 17000, n = 18 & k = 11900)

Thus, the  probability mass function is:

Now, the required probability is computed as:

P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018

P(9<X<14) = 0.608

Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

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