Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 5.4, Problem 2LC
(a)
To determine
To Find: The new standardized score for
(b)
To determine
To find: The person’s score in the original distribution.
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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy | 1 2 4 8 16p(y) | .05 .10 .35 .40 .10
a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows:
F(x)=0.00 : x < 10.30 : 1≤x<30.40 : 3≤ x < 40.45 : 4≤ x <60.60 : 6≤ x < 121.00 : 12≤ x
a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
Chapter 5 Solutions
Essentials of Statistics for the Behavioral Sciences
Ch. 5.2 - Identify the z-score value corresponding to each...Ch. 5.2 - Describe the location in the distribution for each...Ch. 5.2 - For a population with = 30 and = 8, find the...Ch. 5.2 - Prob. 4LCCh. 5.2 - Prob. 1LCACh. 5.2 - Prob. 2LCACh. 5.2 - Prob. 3LCACh. 5.2 - In a distribution with = 12, a score of X = 56...Ch. 5.3 - A normal-shaped distribution with = 40 and = 8...Ch. 5.3 - What is advantage of having a mean of = 0 for a...
Ch. 5.3 - A distribution of English exam scores has = 70...Ch. 5.3 - Prob. 4LCCh. 5.4 - A population of scores has = 73 and = 8. If the...Ch. 5.4 - Prob. 2LCCh. 5.6 - For a sample with a mean of M = 40 and a standard...Ch. 5.6 - For a sample with a mean of M = 80 and a standard...Ch. 5.6 - Prob. 3LCCh. 5.6 - For a sample with a standard deviation of s = 12,...Ch. 5.6 - A sample has a mean of M = 30 and a standard...Ch. 5 - What information is provided by the sign (+/) of a...Ch. 5 - A distribution has a standard deviation of = 10....Ch. 5 - For a distribution with a standard deviation of =...Ch. 5 - For a population with = 80 and = 10, a.Find the...Ch. 5 - For a population with = 40 and a = 11, find the...Ch. 5 - For a population with a mean of = 100 and a...Ch. 5 - A population has a mean of = 60 and a deviation...Ch. 5 - A sample has a mean of M = 30 and a standard...Ch. 5 - A sample has a mean of M = 25 and a standard...Ch. 5 - Find the z-score corresponding to a score of X =...Ch. 5 - Find the X value corresponding to z = 0.25 for...Ch. 5 - A score that is 6 points below the mean...Ch. 5 - A score that is 9 points above the mean...Ch. 5 - For a population with a standard deviation of =...Ch. 5 - For a sample with a standard deviation of s = 8, a...Ch. 5 - For a sample with a mean of M = 51, a score of X =...Ch. 5 - For a population with a mean of = 70, a score X =...Ch. 5 - In a population distribution, a score of X = 28...Ch. 5 - In a sample distribution, X = 56 corresponds to z...Ch. 5 - For each of the following populations, would a...Ch. 5 - A distribution of exam scores has a mean of = 78....Ch. 5 - For each of the following, identify the exam score...Ch. 5 - A distribution with a mean of = 38 and a standard...Ch. 5 - A distribution with a mean of = 76 and a standard...Ch. 5 - A population consists of the following N = 5...Ch. 5 - A sample consists of the following n = 7 scores:...
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