For discrete random variables, when making the probability statements that involve an inequality, it matters whether the inequality is strict or not. In other words, in general, for any discrete random variable X: X < c is not the same as X ≤ c and X > c is not the same as X > c unless P(X= c) = 0 which is not true in general. 1. For a discrete random variable, X, rewrite the following statement using a non-strict inequality: X < 2 is the same as X≤1 2. For a discrete random variable, X, rewrite the following statement using a strict inequality: X ≤ 2 is the same as X<2 X Part 2 of 2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question 1
☆
For discrete random variables, when making the probability statements that involve an inequality, it
matters whether the inequality is strict or not. In other words, in general, for any discrete random variable
X:
Part 1 of 2
X < c is not the same as X ≤ c and X > c is not the same as X > c
unless P(X = c) = 0 which is not true in general.
1. For a discrete random variable, X, rewrite the following statement using a non-strict inequality:
X < 2 is the same as X≤1
2. For a discrete random variable, X, rewrite the following statement using a strict inequality:
X < 2 is the same as X<2 ✓X
Part 2 of 2
Transcribed Image Text:Question 1 ☆ For discrete random variables, when making the probability statements that involve an inequality, it matters whether the inequality is strict or not. In other words, in general, for any discrete random variable X: Part 1 of 2 X < c is not the same as X ≤ c and X > c is not the same as X > c unless P(X = c) = 0 which is not true in general. 1. For a discrete random variable, X, rewrite the following statement using a non-strict inequality: X < 2 is the same as X≤1 2. For a discrete random variable, X, rewrite the following statement using a strict inequality: X < 2 is the same as X<2 ✓X Part 2 of 2
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