A hotel claims that 85 % of its customers are very satisfied with its service. Complete parts a through d below based on a random sample of eight customers.

a. What is the probability that exactly seven customers are very satisfied?

(Round to four decimal places as needed.)

b. What is the probability that more than seven customers are very satisfied?

(Round to four decimal places as needed.)

c. What is the probability that less than six customers are very satisfied?

(Round to four decimal places as needed.)

d. Suppose that of eight customers selected, two responded that they are very satisfied. What conclusions can be drawn about the hotel's claim?

The probability that 2 out of 8 customers are very satisfied is assuming that 85 % of customers are very satisfied.
Based on this sample, it is (likely or not likely) ? that 85 % of customers are very satisfied. (Round to four decimal places as needed.)

(a) P (X = 7) = 0.387

(b) P (X > 7) = 0.2725

(c) P (X < 6) = 0.1052

(d) P (X = 2) = 0.0002

Based on this sample, it is not likely that 85 % of customers are very satisfied.

Step-by-step explanation:

Let X = number of customers very satisfied by the hotel's services.

The sample selected is of size, n = 8 and the probability that a customer is very satisfied is, p = 0.85.

The random variable .

The probability distribution function for Binomial distribution is:

(a)

Compute the probability that exactly seven customers are very satisfied as follows:

Thus, the probability that exactly seven customers are very satisfied is 0.3847.

(b)

Compute the probability that more than seven customers are very satisfied as follows:

Thus, the probability that more than seven customers are very satisfied is 0.2725.

(c)

Compute the probability that less than six customers are very satisfied as follows:

Thus, the probability that less than six customers are very satisfied is 0.1052.

(d)

Compute the probability that of eight customers selected, two responded that they are very satisfied as follows:

The probability that 2 out of 8 customers are very satisfied is 0.0002 assuming that 85 % of customers are very satisfied.

Based on this sample, it is not likely that 85 % of customers are very satisfied.

answear:

a

step-by-step explanation: a

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".