Question

In: Statistics and Probability

The accompanying data table describes results from groups of 10 births from 10 different sets of...

The accompanying data table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Complete the questions below. LOADING... Click the icon to view the data table. Use the range rule of thumb to identify a range of values containing the usual numbers of girls in 10 births. The maximum usual value is 0.2. ​(Round to one decimal place as​ needed.)x P(x)

0 0.004

1 0.017

2 0.043

3 0.112

4 0.206

5 0.234

6 0.202

7 0.114

8 0.041

9 0.011

10 0.016

Solutions

Expert Solution

From the given data, the following Table is calculated:

x f f x f x2
0 0.004 0 0
1 0.017 0.017 0.017
2 0.043 0.086 0.172
3 0.112 0.336 1.008
4 0.206 0.824 3.296
5 0.234 1.17 5.85
6 0.202 1.212 7.272
7 0.114 0.798 5.586
8 0.041 0.328 2.624
9 0.011 0.099 0.891
10 0.016 0.16 1.6
Total = 1.00 5.03 28.316

Mean = = E(X) = 5.03

Variance = s2 = E(X2) - (E(X))2 = 28.316 - 5.032 = 3.0151

Standard Deviation =

Using Range Rule of Thumb:

Mean - 2 Standard Deviation = 5.03 - ( 2 X 1.7364) = 5.03 - 3.4728 = 1.5572

Mean + 2 Standard Deviation = 5.03 + ( 2 X 1.7364) = 5.03 + 3.4728 = 8.5028

So,

Answer is:

1.6 to 8.5


Related Solutions

The accompanying data table describes results from groups of 10 births from 10 different sets of...
The accompanying data table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. x   P(x) 0   0.001 1   0.018 2   0.036 3   0.116 4   0.196 5   0.246 6   0.195 7   0.114 8   0.038 9   0.017 10   0.023 Find the maximum and minimum usual value.
The accompanying table describes results from groups of 10 births from 10 different sets of parents....
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. x   P(x) 0   0.004 1   0.015 2   0.037 3   0.113 4   0.206 5   0.239 6   0.204 7   0.116 8   0.038 9   0.019 10   0.009
The accompanying table describes results from groups of 10 births from 10 different sets of parents....
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. x   P(x) 0   0.001 1   0.017 2   0.036 3   0.113 4   0.207 5   0.241 6   0.207 7   0.113 8   0.037 9   0.012 10   0.016
The accompanying table describes results from groups of 10 births from 10 different sets of parents....
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. x   P(x) 0   0.002 1   0.019 2   0.038 3   0.115 4   0.206 5   0.237 6   0.207 7   0.114 8   0.037 9   0.013 10   0.012 What is the max and min value?
The accompanying table describes results from groups of 8 births from 8 different sets of parents....
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts​ (a) through​ (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. nothing _____ ​(Type an integer or a decimal. Do not​ round.) number of girls (x) P(x) Number of girls (x) P(x) 0 0.004 1 0.016 2 0.111...
The accompanying table describes results from groups of 8 births from 8 different sets of parents....
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts​ (a) through​ (d) below. LOADING... Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births.Number of Girls x ​P(x) 0 0.002 1 0.028 2 0.117 3 0.217 4 0.272 5 0.217 6 0.117 7 0.028 8 0.002
The accompanying table describes results from groups of 8 births from 8 different sets of parents....
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts​ (a) through​ (d) below. . Find the probability of getting exactly 1 girl in 8 births. ​P(x) Number of Girls x P(x) 0 0.002 1 0.022 2 0.117 3 0.227 4 0.264 5 0.227 6 0.117 7 0.022 8 0.002
The accompanying table describes results from groups of 8 births from 8 different sets of parents....
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts​ (a) through​ (d) below. LOADING... Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. . 107 ​(Type an integer or a decimal. Do not​ round.) b. Find the probability of getting 6 or more girls in 8 births.
Using the accompanying table, which describes results from groups of 8 births from 8 different sets...
Using the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Number of Girls x P(x) 0 0.004 1 0.031 2 0.109 3 0.219 4 0.273 5 0.219 6 0.109 7 0.031 8 0.004 Find the probability of getting exactly 7 girls in 8 births. Round to the nearest thousandth.
Listed in the accompanying data table are birth weights​ (g) from a sample of 26 births....
Listed in the accompanying data table are birth weights​ (g) from a sample of 26 births. When applying the Wilcoxon​ rank-sum test, what is the sum of the ranks for the sample of birth weights of​ girls? Girl 3700 1000 2200 4300 3100 1900 2700 3400 2900 2500 4000 3400 2700 3200 Boy 3600 2700 3700 4200 3600 1800 3400 3800 2700 3300 3400 300 The sum of the ranks for the sample of birth weights of girls is? .
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT