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1. Determine the expected value and stane able Y = 2X + 100 when X has a pmf given by %3D 0.3 ifr= 2 0.3 if r= 3 0.1 if r = 4 0.3 if r 5. f(r) = (a) EY = 6.4. a(Y) = 1.2 (b) EY = 106.8, o(Y) = 2.4 (c) EY = 6.8. a(Y) = 101.2 %3D %3D LOC 0 102 4

1. Determine the expected value and stane able Y = 2X + 100 when X has a pmf given by %3D 0.3 ifr= 2 0.3 if r= 3 0.1 if r = 4 0.3 if r 5. f(r) = (a) EY = 6.4. a(Y) = 1.2 (b) EY = 106.8, o(Y) = 2.4 (c) EY = 6.8. a(Y) = 101.2 %3D %3D LOC 0 102 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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1. Determine the expected value and standard deviation of a random vari- able Y = 2X + 100 when X has a pmf given by 0.3 ifr= 2 %3D 0.3 if r = 3 (0.1 if r= 4 f(r) = 0.3 if r = 5. (a) EY = 6.1. a(Y) = 1.2 %3D (b) EY = 106.8, o(Y) = 2.4 (c) EY = 6.8. a(Y) = 101.2 (d) EY = 106,8, o(Y) = 102.4 2. Suppose that you are flipping a fair coin 100 times. Which R command should be used to calculate the probability of obtaining at least 10 heads? (a) 1 - dbinom (10, 100, 0.5) (b) 1 - pbinom (10, 100, 0.5) (c) 1- dbinom (9, 100, 0.5) (d) 1 - pbinom (9, 100, 0.5)
Transcribed Image Text:1. Determine the expected value and standard deviation of a random vari- able Y = 2X + 100 when X has a pmf given by 0.3 ifr= 2 %3D 0.3 if r = 3 (0.1 if r= 4 f(r) = 0.3 if r = 5. (a) EY = 6.1. a(Y) = 1.2 %3D (b) EY = 106.8, o(Y) = 2.4 (c) EY = 6.8. a(Y) = 101.2 (d) EY = 106,8, o(Y) = 102.4 2. Suppose that you are flipping a fair coin 100 times. Which R command should be used to calculate the probability of obtaining at least 10 heads? (a) 1 - dbinom (10, 100, 0.5) (b) 1 - pbinom (10, 100, 0.5) (c) 1- dbinom (9, 100, 0.5) (d) 1 - pbinom (9, 100, 0.5)
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1) Solution:

Let X be the discrete random variable having probability mass function pmf f(x) is given by

 f(x)= 0.3  if x=20.3 if x=30.1 if x=40.3 if x=5

The f(x) can also be writern in table form as

x 2 3 4 5
f(x)  0.3 0.3 0.1 0.3
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