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Chapter 5: Q 16. (page 247)

If you sum the probabilities of the possible values of a discrete random variable, the result always equals .

Short Answer

Expert verified

If you sum the probabilities of the possible values of a discrete random variable, the result always equalsto 1.

Step by step solution

01

Step 1. Given information.

The given statement is:

If you sum the probabilities of the possible values of a discrete random variable, the result always equals .

02

Step 2. Explanation.

Discrete random variables are variables that have a predictable outcome due to random events.

This is a countable variable with probabilities ranging from 0 to 1.

There are two types of discrete random variables: finite and infinite.

The sum of discrete random variables' probability is always 1.

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Most popular questions from this chapter

In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. LetX denote the total number of successes. Determine the required probabilities by using

(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.

(b) TableVII in AppendixA. Compare your answer here to that in part (a).

n=4,p=14,P(X=2)

Under what three conditions are repeated trials of an experiment called Bernoulli trials?

Die and coin. Consider the following random experiment : First , roll a die and observe the number of dots facing up: then toss a coin the number of times that the die shows and observe the total number of heads. Thus , if the die shows three dots facing up and the coin (which is then tossed tree times) comes up heads exactly twice, then the outcome of the experiment can be represent as (3,2).

Part (a) Determine a sample space for this experiment.

Part (b) Determine the events that the total number of heads is even.

Dice. Refer to the image below and for each of the following events, list the outcomes that constitute the event in words

  1. (not A)
  2. (A & B )
  3. (B or C)

When one die is rolled, following outcomes are possible :

Roulette. An American roulette wheel contains 38 numbers, of which 18 are red, 18 are black, and 2 are green. When the roulette wheel is spun, the ball is equally likely to land on any of the 38 numbers. For a bet on red, the house pays even odds ( i.e., 1 to 1 ). What should the odds actually be to make the bet fair?
See all solutions

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