A local statistician is interested in the proportion of high school students that drink coffee. Suppose that 20% of all high school students drink coffee. What is the probability that out of these 75 people, 14 or more drink coffee?

the probability that out of these 75 people, 14 or more drink coffee is 0.6133

Step-by-step explanation:

Given that:

sample size n = 75

proportion of high school students that drink coffee p = 20% = 0.20

The proportion of the students that did not drink coffee = 1 - p

Let X be the random variable that follows a normal distribution

X N (n, p)

X   N (75, 0.20)

= 75 × 0.20

15

Now ; if 14 or more people drank coffee ; then

From the standard normal z tables; (-0.288)

the probability that out of these 75 people, 14 or more drink coffee is 0.6133

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step-by-step explanation: