Assignment 6 – Spring 2020 1. A hotel claims that 90% of its customers are very satisfied with its service. Suppose that a random sample of eight customers is chosen. a. What is the probability that seven customers are very satisfied? [P(X = 7)]? Round to four decimal places. (3 points)

P(X = 7) = 0.3826

Step-by-step explanation:

We are given that a hotel claims that 90% of its customers are very satisfied with its service. A random sample of eight customers is chosen.

The Binomial probability distribution is given by;

where, n = number of trials (samples) taken = 8

            r = number of success

            p = proportion of customers that are satisfied with hotel's service,

                   i.e.; p = 0.90

Let = Number of customers that are very satisfied

So, Probability that seven customers are very satisfied = P(X = 7)

     P(X = 7) =

                   = 8 * = 0.3826

Therefore, probability that seven customers are very satisfied is 0.3826.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^