Reference no: EM13337848
Q1) In september, seattle's daily high temperature has a meanof 70F and a standard deviation of 7F. What is the mean, standarddeviation, and variance in C?
Q2) In a given population of two-earner male/female couples,male earnings have a mean of $40,000 per year and a standarddeviation of $12,000. Female earnings have a mean of $45,000 peryear and a standard deviation of $18,000. The correlation betweenmale and female earnings for a couple is 0.80. Let C denote thecombined earnings for a randomly selected couple.
a. What is the mean of C?
b. What is the covariance between male and female earnings?
c. What is the standard deviation fo C?
d. Convert the answers to (a)-(c) from $(dollars) toeuros
Q3)
Rain(X=0) NoRain(X=1) Total
Longcommute(Y=0) 0.15 0.07 0.22
Shotcommute(Y=1) 0.15 0.63 0.78
Total 0.30 0.70 1.00
Using the random variables X and Y, consider two new randomvariables W = 3+6X and V=20-7Y. Compute (a) E(W) andE(V);(b)σ²w and σ²v;and(c)σwv andcorr(W,V).
Q4) X and Y are discrete random variables with the followingjoint distrivution;
value of Y
14 22 30 40 65
1 0.02 0.05 0.10 0.03 0.01
Value of X 5 0.17 0.15 0.05 0.02 0.01
8 0.02 0.03 0.15 0.10 0.09
That is, Pr(X=1, Y=14) = 0.02 and so forth.
a. Calculate the probability distribution, mean, and varianceof Y.
b. Calculate the probability distrbution, mean, and varianceof Y given X=8
c. Calculate the covariance and correlation betwwen X andY.
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