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Chapter 8: Q.84 (page 482)

In words, define the random variableP′.

Short Answer

Expert verified

The Binomial distribution of the random variable X has parameters of n=25andp=0.04.

Step by step solution

01

Introduction

A random variable is a mathematical representation of a number or object that is subject to chance. Informally, randomness usually refers to some element of chance, such as the roll of a die, but it can also refer to uncertainty, such as measurement mistake.

02

Given

The number of people who will be polled is =25.

Probability of being chosen and having the flu=0.04.

03

Explanation 

Xis a random variable in this question that follows the Binomial Distribution with parameters nand pof 25 and 0.04, respectively.

The following are the requirements for a binomial distribution: -

Because X, the random variable in this question, has all of these features, we can definitely claim that Xfollows the Binomial distribution.

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Most popular questions from this chapter

In complete sentences, explain why the confidence interval in Exercise 8.17 is larger than in Exercise 8.18.

The data in Table 8.10 are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X = the number of colors on a national flag.

Construct a 95% confidence interval for the true mean number of colors on national flags.

Using the same x¯ , sx , and n = 39, how would the error bound change if the confidence level were reduced to 90%? Why?

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X = the number of shots that scored points.

a. What is the probability distribution for X?

b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

c. Use your calculator to find the probability that DeAndre scored with 60 of these shots.

d. Find the probability that DeAndre scored with more than 50 of these shots

Explain in complete sentences what the confidence interval means.

Identify the following:

a. x=_______

b. sx =_______

c. n =_______

d. n – 1 =_______
See all solutions

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