Answered: A sales representative for a national…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Please Answer the following questions. Show your work.

2. See attached image.

5. A restaurant has determined that the mean number of minutes it takes for each customer to dine is 45 with a standard deviation of 11 minutes. The restaurant plans to choose a random sample of n = 15 customers and determine the sample mean. Which of the following statements is true in this case?

a. The sampling error will be larger than if they had sampled n = 64 customers.

b. The sampling distribution may actually be approximately normally distributed depending on what the population distribution is.

c. There is no way to determine what the mean of the sampling distribution is without knowing the specific shape of the population.

d. The sampling distribution will have the same distribution as the population, provided that the population is not normally distributed

6. In an on-campus housing lottery, a bowl contains the names of 10 students, each inside a separate sealed envelope. Each student is randomly offered an envelope from the bowl. A student will receive on-campus housing if his/her name matches the name written in his/her envelope. On average, how many of these 10 students will receive on-campus housing?

7. In an on-campus housing lottery, a bowl contains the names of 10 students, each inside a separate sealed envelope. Each student is randomly offered an envelope from the bowl. A student will receive on-campus housing if his/her name matches the name written in his/her envelope. What is the variance of the number of students who receive on-campus housing?

A sales representative for a national clothing company makes 3 calls per day. Based on
historical records, the following probability distribution describes the number of successful
calls each day:
X
0
1
2
3
P(X)
7a
7a
5a
a
Based on this information, find the probability value that the sales representative will have a
total of 2 successful calls in a two-day period?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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