Question

According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze.

e. Fewer than half of 10 individuals covering their mouth (would/would not) be surprising because the probability of observing fewer than half covering their mouth when sneezing is (need answer)​, which (is/is not) an unusual event.

Can you please solve using a ti-84 calculator?

Answer 1

This problem is related to binomial distribution with p = 0.267 and n = 10. We have to find P(X ≤ 4)

Since P(X ≤ 4) = 0.9004 > 0.05, observing fewer than half covering their mouth when sneezing is not an unusual even.

Correct Answer:

Fewer than half of 10 individuals covering their mouth would not be surprising because the probability of observing fewer than half covering their mouth when sneezing is 0.9004​, which is not an unusual event.

In ti-84 calculator:

Step 1: Go to the distributions by pressing following buttons:

followed by

Scroll down to binomcdf.

Press enter for moving to the next menu.

Step 2: Enter the required data.

Trial = 10

p = 0.267

x-value = 4

After filling in the needed information, highlight paste, and then press enter. Press enter again to get the final answer