CHAPTER 5 Discrete Probability Distributions Identifying Probability Distributions. In Exercises 7-14, determine whether a prob- ability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 7. Genetic Disorder Five males with an X-linked genetic disorder have one child each. The random variable x is the number of chil- dren among the five who inherit the X-linked genetic disorder. X 0.031 0 0.156 1 0.313 2 0.313 3 0.156 4 0.031 5 8. Male Color Blindness When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness (based on data from the National Institutes of Health) P(x) X 0.659 0 0.287 1 0.050 2 0.004 3 0.001 0+ 5 9. Pickup Line Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd put U and I together." The random variable x is the number of women Ted approaches before encountering one who reacts positively P(x) X 0.001 1 0.009 2 0.030 0.060 4 10. Fun Ways to Flirt In a Microsoft Instant Messaging survey, respondents were asked to choose the most fun way to flirt, and the accompanying table is based on the results. P(x) E-mail 0.06 In person 0.55 Instant 0.24 message Теxt 0.15 message 11. Fun Ways to Flirt A sociologist randomly selects single adults P(x) of three, and the random variable x is the num- that the most fun way to flirt is in for different groups who 0 0.091 say person ber in the group 1 0.334 (based on a Microsoft Instant Messaging survey). 2 0.408 3 0.166 12. Self-Driving Vehicle Groups of adults are randomly selected and arranged in P(x) of three. The random variable x is the num- groups who 0 0.358 that they would feel comfortable in a self- say ber in the group 1 0.439 driving vehicle (based on a TE Connectivity survey). 2 0.179 3 0.024 LO LO
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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 alt="CHAPTER 5 Discrete Probability Distributions
Identifying Probability Distributions. In Exercises 7-14, determine whether a prob-
ability distribution is given. If a probability distribution is given, find its mean and standard
deviation. If a probability distribution is not given, identify the requirements that are not
satisfied.
P(x)
7. Genetic Disorder Five males with an X-linked genetic disorder
have one child each. The random variable x is the number of chil-
dren among the five who inherit the X-linked genetic disorder.
X
0.031
0
0.156
1
0.313
2
0.313
3
0.156
4
0.031
5
8. Male Color Blindness When conducting research on color
blindness in males, a researcher forms random groups with five
males in each group. The random variable x is the number of males
in the group who have a form of color blindness (based on data from
the National Institutes of Health)
P(x)
X
0.659
0
0.287
1
0.050
2
0.004
3
0.001
0+
5
9. Pickup Line Ted is not particularly creative. He uses the pickup
line "If I could rearrange the alphabet, I'd put U and I together."
The random variable x is the number of women Ted approaches
before encountering one who reacts positively
P(x)
X
0.001
1
0.009
2
0.030
0.060
4
10. Fun Ways to Flirt In a Microsoft Instant Messaging survey,
respondents were asked to choose the most fun way to flirt, and the
accompanying table is based on the results.
P(x)
E-mail
0.06
In person
0.55
Instant
0.24
message
Теxt
0.15
message
11. Fun Ways to Flirt A sociologist randomly selects single adults
P(x)
of three, and the random variable x is the num-
that the most fun way to flirt is in
for different
groups
who
0
0.091
say
person
ber in the
group
1
0.334
(based on a Microsoft Instant Messaging survey).
2
0.408
3
0.166
12. Self-Driving Vehicle Groups of adults are randomly selected
and arranged in
P(x)
of three. The random variable x is the num-
groups
who
0
0.358
that they would feel comfortable in a self-
say
ber in the
group
1
0.439
driving vehicle (based on a TE Connectivity survey).
2
0.179
3
0.024
LO
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