1. Suppose that the random variables X and Y have the joint probability distribution f(r, y) given as: X \Y 1 3 | 0.05 0.05 0.05 0.10 2 0.10 0.35 3 0.00 0.20 0.10 Find the following: (a) P(X = 2|Y = 3) (b) Е(X) (c) E (Y) (d) V (X) (e) V (Y) ) Е (X — 2Y)
1. Suppose that the random variables X and Y have the joint probability distribution f(r, y) given as: X \Y 1 3 | 0.05 0.05 0.05 0.10 2 0.10 0.35 3 0.00 0.20 0.10 Find the following: (a) P(X = 2|Y = 3) (b) Е(X) (c) E (Y) (d) V (X) (e) V (Y) ) Е (X — 2Y)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Transcribed Image Text:1. Suppose that the random variables X and Y have the joint probability distribution f(r, y) given as:
_X \Y
1
0.05
0.05
0.10
0.05
0.10
0.35
3
0.00
0.20
0.10
Find the following:
(a) P(X = 2|Y =3)
(b) E(X)
(c) E (Y)
(d) V (X)
(e) V (Y)
(F) E (X – 2Y)
2. Suppose the scores X in some SAT Mathematics exam are normally distributed with a mean score of 500 and a
standard deviation of 100.
(a) Estimate the percentage of student who took that test and scored between 350 and 760.
(b) Estimate the percentile rank of a student who took that test and scored 680.
(c) Find P (X – 500|< 75).
(d) Find the constant é such that P(X – 500|2) = 0.4.
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