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Question 1. We asked 6 students how many times they rebooted**More:**

**Question 1. **

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**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).**

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**Create a joint probability table for C and R. Be sure to include the marginal probability mass functions.**

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**Compute E(C) and E(R).**

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**Determine the covariance of C and R and explain its significance**

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**for how C and R are related. (A one sentence explanation is all that?s called for.)**

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**Are R and C independent?**

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**(d) Independently choose a random Mac user and a random PC user.**

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**Let M be the number of reboots for the Mac user**

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**and W the number of reboots for the PC user.**

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**Create a table of the joint probability distribution of M and W , including the marginal probability mass functions.**

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**Calculate P (W > M).**

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**What is the correlation between W and M?**

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**Question 2. **

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**Recall the relation between degrees Fahrenheit and degrees Celsius**

** Degree Celsius = 5/9. degrees Fahrenheit ? 160/9**

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**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.**

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**Suppose that Cov(X, Y ) = 4 and ?(X, Y ) = 0.8 . Compute Cov(T, S) and ?(T, S) (?(T, S) = correlation)**

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This question was answered on: * Feb 21, 2020 *

* * Solution~000501375.zip (18.37 KB)

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