7 Dominic is a door-to-door salesman. Each day he earns $100, plus $25 for each sale made. From previous experience, Dominic knows that the number of sales X made per day follows the probability distribution below: 1 2 3 4 5 P(X = x) | 0.17 | 0.25 0.3 0.15 0.1 0.03 %3D iii o(X) ii Var(X) b Suppose Y is the amount of money Dominic earns, in dollars per day. Write Y in terms of X. ii Var(Y) a Find: i (X) c Hence find: | E(Y) iii o(Y)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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7 Dominic is a door-to-door salesman. Each day he earns $100, plus $25 for each sale made.
From previous experience, Dominic knows that the number of sales X made per day follows the
probability distribution below:
1
2
3
4
5
P(X = x) | 0.17 | 0.25
0.3
0.15
0.1
0.03
%3D
iii o(X)
ii Var(X)
b Suppose Y is the amount of money Dominic earns, in dollars per day. Write Y in terms of X.
ii Var(Y)
a Find:
i (X)
c Hence find:
| E(Y)
iii o(Y)
Transcribed Image Text:7 Dominic is a door-to-door salesman. Each day he earns $100, plus $25 for each sale made. From previous experience, Dominic knows that the number of sales X made per day follows the probability distribution below: 1 2 3 4 5 P(X = x) | 0.17 | 0.25 0.3 0.15 0.1 0.03 %3D iii o(X) ii Var(X) b Suppose Y is the amount of money Dominic earns, in dollars per day. Write Y in terms of X. ii Var(Y) a Find: i (X) c Hence find: | E(Y) iii o(Y)
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