Calculate the PMF of X. 2. Find the expectation and the variance of X. 3. Suppose Tharun has to pay $3 to enter the shooting range and he gets $2 dollars for each hit. Let Y be his profit. Find the expectation and the variance of Y .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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Tharun being poor at shooting takes 10 shots at a target and has probability 0.2
of hitting the target with each shot, independently of all other shots. Let X be the
number of hits.
1. Calculate the PMF of X.
2. Find the expectation and the variance of X.
3. Suppose Tharun has to pay $3 to enter the shooting range and he gets $2 dollars
for each hit. Let Y be his profit. Find the expectation and the variance of Y .
4. Now let’s assume that Tharun enters the shooting range for free and gets the
number of dollars that is equal to the square of the number of hits. Let Z be his
profit. Find the expectation of Z.

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