0. Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant. 0.1, if x=0 kx if x=1 or 2 P(X=x) = k(5-x), if x=3 or 4 0, other wise (a) Find the value of k.

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.CR: Chapter 12 Review
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10. Let X denote the number of hours you study during a
randomly selected school day. The probability that X can take
the values x, has the following form, where k is some unknown
constant.
0.1,
if
x=0
kx
if
x=1 or 2
P(X=x) =
k(5-x),
if
x=3 or 4
0,
other wise
(a) Find the value of k.
Transcribed Image Text:10. Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant. 0.1, if x=0 kx if x=1 or 2 P(X=x) = k(5-x), if x=3 or 4 0, other wise (a) Find the value of k.
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