The number X of days in the summer months that a construction crew cannot work because of the weather has the probability distribution: 7 0.08 6. 8 9. 10 11 12 13 14 f(x) 0.03 0.15 0.2 0.19 0.16 0.1 0.07 0.02 The mean and standard deviation of X are respectively: 9.79 and 1.8617 9.7 and 1.9 None of the other options 9.74 and 1.8954

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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The number X of days in the summer months that a construction crew cannot work
because of the weather has the probability distribution:
6.
7
8
9.
10
11
12
13
14
f(x)
0.03
0.08
0.15
0.2
0.19
0.16
0.1
0.07
0.02
The mean and standard deviation of X are respectively:
9.79 and 1.8617
9.7 and 1.9
None of the other options
9.74 and 1.8954
Question
The temperature in degrees Celsius at a certain location is normally distributed with a
mean of 68 degrees and a standard deviation of 4 degrees. The probability that the
temperature in degrees Celsius at the same location is greater than 72 degrees is
0.1587
0.0228
None of
other options
0.0062
Question *
Let X and Y be two independent N(0,1) random variables and consider
Z = 3+ X+ 2XY² , W 5 + X. Then Cov(Z, W) =
Hint:Cov(X, X) = Var(X), Cov(X + c, Y) = Cov(X, Y)
and Cov(X + Y, Z) = Cov(X,Z) + Cov(Y Z)
O None of the other options
Transcribed Image Text:The number X of days in the summer months that a construction crew cannot work because of the weather has the probability distribution: 6. 7 8 9. 10 11 12 13 14 f(x) 0.03 0.08 0.15 0.2 0.19 0.16 0.1 0.07 0.02 The mean and standard deviation of X are respectively: 9.79 and 1.8617 9.7 and 1.9 None of the other options 9.74 and 1.8954 Question The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68 degrees and a standard deviation of 4 degrees. The probability that the temperature in degrees Celsius at the same location is greater than 72 degrees is 0.1587 0.0228 None of other options 0.0062 Question * Let X and Y be two independent N(0,1) random variables and consider Z = 3+ X+ 2XY² , W 5 + X. Then Cov(Z, W) = Hint:Cov(X, X) = Var(X), Cov(X + c, Y) = Cov(X, Y) and Cov(X + Y, Z) = Cov(X,Z) + Cov(Y Z) O None of the other options
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