A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215. Round your answer to four decimal places. A. 0.4713 B. 0.3821 C. 0.0287 D. 0.1179

Probability that their mean is above 215 is 0.0287.

Step-by-step explanation:

We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

For this, 40 different applicants are randomly selected.

Let X = ratings for credit

So, X ~ N()

Now, the z score probability distribution for sample mean is given by;

         Z = ~ N(0,1)

where, = population mean = 200

            = standard deviation = 50

            = sample mean

           n = sample of applicants = 40

So, probability that their mean is above 215 is given by = P( > 215)

    P( > 215) = P( > ) = P(Z > 1.897) = 1 - P(Z 1.897)

                                                         = 1 - 0.97108 = 0.0287

Therefore, probability that their mean is above 215 is 0.0287.

32

step-by-step explanation:

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .