The cumulative distribution function (CDF) of random variable X is given by x + k x = 1,2,3,4 6 Determine the following: a) k. b) P(X=x) for all x. Fx(x) =
The cumulative distribution function (CDF) of random variable X is given by x + k x = 1,2,3,4 6 Determine the following: a) k. b) P(X=x) for all x. Fx(x) =
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Question
![The cumulative distribution function (CDF) of random variable X is given by
x + k
x = 1, 2, 3, 4
6
Determine the following:
a) k.
b) P(X x) for all x.
Fx (x)
a) The value of X in Table 2.
Outcome tth
X
A fair coin is tossed 3 times. Thus, outcomes are written {hth, ttt,...} which h = "heads" and t =
"tails". For each outcome, let R be the random variable counting the number of heads in each
outcome. For example, if the outcome is tht, then R(tht) = 1. Suppose that the random variable X
is defined in terms of R using X = 2R² - 6R - 4, determine:
thh
=
hth
J
b) The probability mass function of X.
Table 2
hht
htt
ttt
tht
hhh](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbedf50f-fba5-4de4-9749-8328abbf4e2c%2F2b2b4f6e-f677-4100-bef8-8bd92a72fd08%2F8xg6qtp_processed.png&w=3840&q=75)
Transcribed Image Text:The cumulative distribution function (CDF) of random variable X is given by
x + k
x = 1, 2, 3, 4
6
Determine the following:
a) k.
b) P(X x) for all x.
Fx (x)
a) The value of X in Table 2.
Outcome tth
X
A fair coin is tossed 3 times. Thus, outcomes are written {hth, ttt,...} which h = "heads" and t =
"tails". For each outcome, let R be the random variable counting the number of heads in each
outcome. For example, if the outcome is tht, then R(tht) = 1. Suppose that the random variable X
is defined in terms of R using X = 2R² - 6R - 4, determine:
thh
=
hth
J
b) The probability mass function of X.
Table 2
hht
htt
ttt
tht
hhh
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