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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

In one of its Spring catalogs, L.L. Bean庐 advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked more than once.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many pages do you expect to advertise footwear on them?

e. Is it probable that all twenty will advertise footwear on them? Why or why not?

f. What is the probability that fewer than ten will advertise footwear on them?

g. Reminder: A page may be picked more than once. We are interested in the number of pages that we must randomly survey until we find one that has footwear advertised on it. Define the random variable X and give its distribution.

h. What is the probability that you only need to survey at most three pages in order to find one that advertises footwear on it?

i. How many pages do you expect to need to survey in order to find one that advertises footwear?

Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating students is randomly chosen.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many are expected to attend their graduation?

e. Find the probability that 17 or 18 attend.

f. Based on numerical values, would you be surprised if all 22 attended graduation? Justify your answer numerically

Complete the expected value table.

Define P(x),or the probability ofx.

An electronics store expects to have ten returns per day on average. The manager wants to know the probability of the store getting fewer than eight returns on any given day. State the probability question mathematically.
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