/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 5.168. In each of Exercises 5.167-5.172... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 5.168. (page 243)

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=5,p=0.6,P(X=3)

Short Answer

Expert verified

Part (a) 0.346.

Part (b) Both answers are same as 0.346.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

The provided number of trials and success probability for Bernoulli trials is:

n=5,p=0.6,P(X=3)

02

Part (a) Step 2. Determine the probabilities by using the binomial probability formula.

Use the formula:

PX=x=nxpx1-pn-x

We are givenn=5,p=0.6,P(X=3).


Substitute the given values in the formula,

PX=3=530.631-0.65-3=0.346

03

Part (b) Step 1. Refer to Table VII in Appendix A to find the answer.

After referring to the able VII in Appendix A,the resulted value is 0.346 at the given values n=5,p=0.6,P(X=3).


The resulted answers from both the parts are same 0.346.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

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

Coin Tossing. A balanced dime is tossed three times. The possible outcomes can be represented as follows.

Here, for example. HHT means that the first two tosses come up heads and the third tails. Find the probability that

(a) exactly two of the three tosses come up heads.

(b) the last two tosses come up tails.

(c) all three tosses come up the same.

(d) the second toss comes up heads.

In 10 Bernoulli trials, how many outcomes contain exactly three successes?

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

Graduate Science Students. According to Survey of Graduate Science Engineering Students and Postdoctorates, published by the U.S. National Science Foundation, the distribution of graduate science students in doctorate-granting institutions is as follows.

Frequencies are in thousands. Note: Earth sciences include atmospheric and ocean sciences as well.

A graduate science student who is attending a doctorate-granting institution is selected at random. Determine the probability that the field of the student obtained is

(a) psychology.

(b) physical or social science.

(c) not computer science.

State the frequentist interpretation of probability.

Consider the set consisting of the first 12positive whole numbers (1to12). Determine explicitly the numbers in the set satisfy each of the following conditions:

Part (a) at least 9

Part (b) at most 10

Part (c) between5and8inclusive.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.