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Chapter 4: Q.20 (page 283)

Find the standard deviation.

Short Answer

Expert verified

Standard deviation is1.8.

Step by step solution

01

Given Information

Finding standard deviation from using the given table :

02

Explanation

The square root of the average of squares of deviations of data taken from the mean is the standard deviation. That is the 2ndcolumn

The values are multiplied by their respective probability. The mean of this column's sum is 5.4Each observation is deducted from the mean, which is 5.4, in the next column. The probabilities are squared and multiplied by his value. This provides you with localid="1649402669500" (x-渭)2*P(x)

These values are summed up in next step. Sum will

S=1.156+0.588+0.144+1.352=3.240

Standard deviation can be calculated by taking a square. As a result, standard deviation is:

localid="1649402678059" =3.240=1.8

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Most popular questions from this chapter

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from 203,967incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

What is the standard deviation(蟽)?

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in theU.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

What is the probability that at least two of the freshmen reply鈥测别蝉鈥�?

Define the random variable X.

Construct a PDF table.

According to a recent Pew Research poll, 75% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a person without a profile on a social networking site.

a. Describe the distribution of X.

b. Find the (i) mean and (ii) standard deviation of X.

c. What is the probability that you must ask ten people to find one person without a social networking site?

d. What is the probability that you must ask 20 people to find one person without a social networking site?

e. What is the probability that you must ask at most five people?
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