Step-by-step solution file
Question 1. We asked 6 students how many times they rebooted
We asked 6 students how many times they rebooted their computers last week. There were 4 Mac users and 2 PC users.
The PC users rebooted 2 and 3 times.
The Mac users rebooted 1, 2, 2 and 8 times.
Let C be a Bernoulli random variable representing the type of computer of a randomly chosen student (Mac = 0, PC = 1).
Let R be the number of times a randomly chosen student rebooted (so R takes values 1,2,3,8).
Create a joint probability table for C and R. Be sure to include the marginal probability mass functions.
Compute E(C) and E(R).
Determine the covariance of C and R and explain its significance
for how C and R are related. (A one sentence explanation is all that?s called for.)
Are R and C independent?
(d) Independently choose a random Mac user and a random PC user.
Let M be the number of reboots for the Mac user
and W the number of reboots for the PC user.
Create a table of the joint probability distribution of M and W , including the marginal probability mass functions.
Calculate P (W > M).
What is the correlation between W and M?
Recall the relation between degrees Fahrenheit and degrees Celsius
Degree Celsius = 5/9. degrees Fahrenheit ? 160/9
Let X and Y be the daily high temperature in degrees Fahrenheit for the summer in Los Angeles and San Diego. Let T and S be the same temperatures in degrees Celsius.
Suppose that Cov(X, Y ) = 4 and ?(X, Y ) = 0.8 . Compute Cov(T, S) and ?(T, S) (?(T, S) = correlation)
This question was answered on: Feb 21, 2020
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