Construct the probability mass function for each of the random variable described below.a. A coin was flipped three times. Let T be the number of tails that occur.P(T)T3210b. The sum of numbers when a pair of dice is rolled.X23456789101112P(X) c. In a family of four siblings, let G be the number of girls in the family.GP(G)43210d. Toss a pair of dice. Let X be the absolute value of the difference of the two dice.XP(X)543210

As per bartleby guidelines we can solve only first question and rest can be reposted

Answered: a. A coin was flipped three times. Let…

Math

Probability

a. A coin was flipped three times. Let T be the number of tails that occur. T P(T) 3 2 1 0

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...

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Question

Construct the probability mass function for each of the random variable described below.
a. A coin was flipped three times. Let T be the number of tails that occur.
P(T)
T
3
2
1
0
b. The sum of numbers when a pair of dice is rolled.
X
2
3
4
5
6
7
8
9
10
11
12
P(X)

c. In a family of four siblings, let G be the number of girls in the family.
G
P(G)
4
3
2
1
0
d. Toss a pair of dice. Let X be the absolute value of the difference of the two dice.
X
P(X)
5
4
3
2
1
0

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