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Chapter 5: Q 14. (page 247)

What does the probability distribution of a discrete random variable tell you?

Short Answer

Expert verified

A discrete random variable gives us its probable values and possibilities.

Step by step solution

01

Step 1. Given information.

The given statement is:

What does the probability distribution of a discrete random variable tell you

02

Step 2. Explanation.

The likelihood of a discrete random variable informs us about the discrete random variable's probable values and accompanying probabilities.

The equivalent probability distribution for any discrete random variable Xican be represented as Pxi.

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Most popular questions from this chapter

In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.

Housing Units. The U.S. Census Bureau publishes data on housing units in American Housing Survey for the United States. The following table provides a frequency distribution for the number of rooms in U.S. housing units. The frequencies are in thousands.

A housing unit is selected at random. Find the probability that the housing unit obtained has

(a) four rooms.

(b) more than four rooms.

(c) one or two rooms.

(d) fewer than one room.

(e) one or more rooms.

Refer to the exercise 5.66. Among the events A, B, C and D, identify the collection of events that are mutually exclusive.

Explain what is wrong with the following argument: When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. Therefore the probability is 111 that the sum is 12.

Housing Units. Refer to Exercise 5.19.

(a) Which, if any, of the events in parts (a)-(c) are certain? impossible?

(b). Determine the probability of each event identified in part (a).

Interpret each of the following probability statements, using the frequentist interpretation of probability.

(a). The probability is 0.487 that a newborn baby will be a girl.

(b). The probability of a single ticket winning a prize in the Powerball lottery is 0.031.
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