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Chapter 6: Q.104 (page 406)

Ten lines in the table contain 400digits. The count of 0s in these lines is approximately Normal with

(a) mean 40; standard deviation 36.

(b) mean 40; standard deviation19.

(c) mean 40; standard deviation 6.

(d) mean 36; standard deviation6.

(e) mean 10; standard deviation 19.

Short Answer

Expert verified

The correct answer is option (c) mean 40; standard deviation6

Step by step solution

01

Given information

Given in the question that, Ten lines in the table contain400 digits .

02

Explanation

Given;

n=400

p=0.1

Let's find the mean

localid="1650043720343" μx=np=400(0.1)=40

Compute the standard deviation

localid="1650043735667" σx=np(1−p)=400(0.1)(1−0.1)=6

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Most popular questions from this chapter

A large auto dealership keeps track of sales made during each hour of the day. Let X=the number of cars sold during the first hour of business on a randomly selected Friday. Based on previous records, the probability distribution of Xis as follows:

Compute and interpret the mean of X.

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In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?

(a)n=10,p=0.5

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A large auto dealership keeps track of sales and leases agreements made during each hour of the day. Let X= the number of cars sold and Y= the number of cars leased during the first hour of business on a randomly selected Friday. Based on previous records, the probability distributions of Xand Yare as follows:

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The dealership’s manager receives a 500bonus for each car sold and a 300 bonus for each car leased. Find the mean and standard deviation of the manager’s total bonus B. Show your work.
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