Explanation Given: X is equal to the number of hits obtained by a certain baseball player in his next at bats. P ( X = 1 ) = 0.30 , P ( X = 2 ) = 0.20 P ( X = 0 ) = 3 P ( X = 3 ) Calculation: By the property of probability, ∑ p ( x ) = 1 P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) = 1 3 P ( X = 3 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) = 1 4 P ( X = 3 ) + 0

A First Course In Probability, Global Edition

10th Edition

ISBN: 9781292269207

Author: Ross, Sheldon

Publisher: PEARSON

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Videos

Question

Chapter 4, Problem 4.1STPE

To determine

To compute: The expectation of X.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 4.37TE

Chapter 4, Problem 4.2STPE

Students have asked these similar questions

Suppose 1.8% of every Filipino births result in twins. From a random sample of 1000 births, let X be the number of twins. That is X = {0, 1, 2, ..., 1000). Find the E(X).

Suppose that x has an exponential distribution with θ =1.5. Find P(x > 1

Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.61, and for n = 9 nonsufferers, the average output was 2.09. Let ?1 and ?2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ?1 = 0.3 and ?2 = 0.5. (a) Consider testing H0: ?1 − ?2 = −1.0 versus Ha: ?1 − ?2 < −1.0 at level 0.01. Describe in words what Ha says, and then carry out the test. Ha says that the average heat output for sufferers is the same as that of non-sufferers.Ha says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. Ha says that the average heat output for sufferers is more…

Chapter 4 Solutions

A First Course In Probability, Global Edition

Ch. 4 - Two balls are chosen randomly from an urn...Ch. 4 - Two fair dice are rolled, Let X equal the product...Ch. 4 - Three dice are rolled. By assuming that each of...Ch. 4 - Five men and 5 women are ranked according to their...Ch. 4 - Let X represent the difference between the number...Ch. 4 - In Problem 4.5 for n=3, if the coin is assumed...Ch. 4 - Suppose that a die is rolled twice. What are the...Ch. 4 - If the die in Problem 4.7 is assumed fair,...Ch. 4 - Repeat Example 1c, when the balls are selected...Ch. 4 - Let X be the winnings of a gambler. Let...

Knowledge Booster

$Probability$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

The expectation of X.

Solution Summary: The author calculates the expectation of X, which is equal to the number of hits obtained by a certain baseball player in his next at bats.

Concept explainers

Videos

To compute: The expectation of X.

Want to see the full answer?

Chapter 4 Solutions