D,E, F

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
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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D,E, F and G
The probability mass function of a random variable X is given by
1
X
f(x) = P(X = x)
F(x) = P(X ≤ x)
0
0.3
0.1
2
?
3
0.2
a) f(2)= P(X=2) =
b) E(X)=
c) Var(X) =
d) Fill F(0), F(1), F(2), F(3) and F(4) in the third row of the above table.
e) The conditional probability P(X=4 |X23) =
f) The conditional probability P(X=4 |X=3) =
g) The conditional probability P(X≥3 |X=4) =
4
0.3
Transcribed Image Text:The probability mass function of a random variable X is given by 1 X f(x) = P(X = x) F(x) = P(X ≤ x) 0 0.3 0.1 2 ? 3 0.2 a) f(2)= P(X=2) = b) E(X)= c) Var(X) = d) Fill F(0), F(1), F(2), F(3) and F(4) in the third row of the above table. e) The conditional probability P(X=4 |X23) = f) The conditional probability P(X=4 |X=3) = g) The conditional probability P(X≥3 |X=4) = 4 0.3
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