Given the following discrete probability distribution, XP(x) 42 0.375 65 0.15 70 0.225 75 0.05 90 0.2 (а). (b). Calculate the variance of x. (c) Calculate the standard deviation of x Calculate the expected (average) value of x.
Given the following discrete probability distribution, XP(x) 42 0.375 65 0.15 70 0.225 75 0.05 90 0.2 (а). (b). Calculate the variance of x. (c) Calculate the standard deviation of x Calculate the expected (average) value of x.
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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Transcribed Image Text:Given the following discrete probability distribution,
|x P(x)
| 42 0.375
65 0.15
70 0.225
75
0.05
90
0.2
(a). Calculate the expected (average) value of x.
(b). Calculate the variance of x.
(c) Calculate the standard deviation of x
QUESTION 5
A government agency wants to test a refining company's
claim that the mileage achieved with its unleaded gasoline
(A) is at equal or less than that achieved with its leaded
gasoline (B). Fifteen car models are chosen; a given
driver drives each model twice over the identical route. At
random, each driver is given brand A or brand B first,
then drives with the other brand during the second trip.
This procedure is designed to conduct a sign test at the 2.5
percent level of significance is chosen. Make the test,
using the government's following Table data.
TABLE: Gasoline Experiment
Miles per Gallon
Car Model Unleaded Gas (A) Leaded Gas (B)
22.1
23.7
2
15.7
16.1
3
18.2
19.0
4
19.0
19.0
5
25.7
24.2
6.
19.2
22.0
7
11.9
12.1
8
28.0
30.2
9.
35.0
37.8
10
27.0
30.0
11
19.7
19.0
12
16.3
15,1
13
21.2
23.4
14
22.2
20.7
15
27.8
28.1
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