# CHAPTER 5 Discrete Probability DistributionsIdentifying Probability Distributions. In Exercises 7-14, determine whether a prob-ability distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are notsatisfied.P(x)7. Genetic Disorder Five males with an X-linked genetic disorderhave one child each. The random variable x is the number of chil-dren among the five who inherit the X-linked genetic disorder.X0.03100.15610.31320.31330.15640.03158. Male Color Blindness When conducting research on colorblindness in males, a researcher forms random groups with fivemales in each group. The random variable x is the number of malesin the group who have a form of color blindness (based on data fromthe National Institutes of Health)P(x)X0.65900.28710.05020.00430.0010+59. Pickup Line Ted is not particularly creative. He uses the pickupline "If I could rearrange the alphabet, I'd put U and I together."The random variable x is the number of women Ted approachesbefore encountering one who reacts positivelyP(x)X0.00110.00920.0300.060410. Fun Ways to Flirt In a Microsoft Instant Messaging survey,respondents were asked to choose the most fun way to flirt, and theaccompanying table is based on the results.P(x)E-mail0.06In person0.55Instant0.24messageТеxt0.15message11. Fun Ways to Flirt A sociologist randomly selects single adultsP(x)of three, and the random variable x is the num-that the most fun way to flirt is infor differentgroupswho00.091saypersonber in thegroup10.334(based on a Microsoft Instant Messaging survey).20.40830.16612. Self-Driving Vehicle Groups of adults are randomly selectedand arranged inP(x)of three. The random variable x is the num-groupswho00.358that they would feel comfortable in a self-sayber in thegroup10.439driving vehicle (based on a TE Connectivity survey).20.17930.024LOLO

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Step 1

Consider, X be the random variable that represents the number if adults who feel comfortable in a self-driving vehicle.

Step 2

A probability distribution function must satisfy the following conditions:

1. Sum of probabilities must be equal to 1.
2. Probabilities must lie between 0 and 1.

Here, conditions required for a probability distribution are satisfied because probabilities are between 0 and 1 and sum of probabilities is equal to 1 which can be shown as:

Step 3

Since, both the conditions for a probability distribution function are sati...

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