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: unless P(X= c) = 0 which is not true in general. Complete the following statements of the subdivision rule for a Discrete Random variable X: X X < c is not the same as X < c and X> c is not the same as X > c b✓ P(X<6)-P(X<2) d✓ P(X≤6)-P(X<2) a P(X<6)-P(X<2) P(X≤6)-P(X≤2) с a. P(2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 21E
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X Question 11
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.
Complete the following statements of the subdivision rule for a Discrete Random variable X:
X
P(X<6)-P(X<2)
d✓ P(Xs6)-P(X<2)
a P(X<6)-P(X≤2)
c✓ P(X<≤6)-P(X≤2)
a. P(2<x<6)
b. P(2<x<6)
c. P(2≤x≤6)
d. P(2<x<6)
Transcribed Image Text:X Question 11 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. Complete the following statements of the subdivision rule for a Discrete Random variable X: X P(X<6)-P(X<2) d✓ P(Xs6)-P(X<2) a P(X<6)-P(X≤2) c✓ P(X<≤6)-P(X≤2) a. P(2<x<6) b. P(2<x<6) c. P(2≤x≤6) d. P(2<x<6)
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