Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 5, Problem 21CAP
To determine
Find the value of
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 5 Solutions
Statistics for the Behavioral Sciences
Ch. 5.2 - Prob. 1.1LCCh. 5.2 - Prob. 1.2LCCh. 5.2 - Prob. 1.3LCCh. 5.2 - Prob. 1.4LCCh. 5.3 - Prob. 2.1LCCh. 5.3 - Prob. 2.2LCCh. 5.4 - Prob. 3.1LCCh. 5.4 - Prob. 3.2LCCh. 5.4 - Prob. 3.3LCCh. 5.4 - Prob. 4.1LC
Ch. 5.4 - Prob. 4.2LCCh. 5.4 - Prob. 4.3LCCh. 5.4 - Prob. 5.1LCCh. 5.4 - Prob. 5.2LCCh. 5.5 - Prob. 6.1LCCh. 5.5 - Prob. 6.2LCCh. 5.7 - Prob. 7.1LCCh. 5.7 - Prob. 7.2LCCh. 5.7 - Prob. 7.3LCCh. 5.10 - Prob. 8.1LCCh. 5.10 - Prob. 8.2LCCh. 5.10 - Prob. 8.3LCCh. 5.10 - Prob. 8.4LCCh. 5.11 - Prob. 9.1LCCh. 5.11 - Prob. 9.2LCCh. 5.11 - Prob. 9.3LCCh. 5 - Prob. 1FPCh. 5 - Prob. 2FPCh. 5 - Prob. 3FPCh. 5 - Prob. 4FPCh. 5 - Prob. 5FPCh. 5 - Prob. 6FPCh. 5 - Prob. 7FPCh. 5 - Prob. 8FPCh. 5 - Prob. 9FPCh. 5 - Prob. 10FPCh. 5 - Prob. 11CAPCh. 5 - Prob. 12CAPCh. 5 - Prob. 13CAPCh. 5 - Prob. 14CAPCh. 5 - Prob. 15CAPCh. 5 - Prob. 16CAPCh. 5 - Prob. 17CAPCh. 5 - Prob. 18CAPCh. 5 - Prob. 19CAPCh. 5 - Prob. 20CAPCh. 5 - Prob. 21CAPCh. 5 - Prob. 22CAPCh. 5 - Prob. 23CAPCh. 5 - Prob. 24CAPCh. 5 - Prob. 25CAPCh. 5 - Prob. 26CAPCh. 5 - Prob. 27CAPCh. 5 - Prob. 28CAPCh. 5 - Prob. 29CAPCh. 5 - Prob. 30CAPCh. 5 - Prob. 31PRCh. 5 - Prob. 32PRCh. 5 - Prob. 33PRCh. 5 - Prob. 34PRCh. 5 - Prob. 35PR
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- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardLet X be a continuous RV with PDF where a > 0 and 0 > 0 are parameters. verify that f-∞ /x (x)dx = 1. Find the CDF, Fx (7), of X.arrow_forward6. [20] Let X be a continuous RV with PDF 2(1), 1≤x≤2 fx(x) = 0, otherwisearrow_forward
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- In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF where 1 > 0 is a parameter, and c is a constant. (a) Find the expression of c in terms of 1. (b) Find E(X). (Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.)arrow_forwardSuppose that X ~Bin(n,p). Show that E[(1 - p)] = (1-p²)".arrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
- I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forwardThis exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainzarrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
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