12. From the most recent national census, it is found that the number of children (X) in American families follows the following probability distribution: Number of Proportion of children, X families. P(x) 0 . 0.48 1. . 0.20 2. . 0.15 3.. ..... .... 0.08 4. .... 0.05 5. ****.... 0.03 .... 0.01 It is assumed that the proportion of families with more than six children is negligible. a. Find the expected value and standard deviation of X. b. Form a stick diagram of this distribution. Is the distribution skewed? c. find var(X).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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12. From the most recent national census, it is found that the number of
children (X) in American families follows the following probability
distribution:
Number of Proportion of
children, X families. P(x)
0..
****........ 0.48
1. . 0.20
2..
0.15
3..
4.
5.
6.
0.08
0.05
............
0.03
.*.........
0.01
.........
It is assumed that the proportion of families with more than six children
is negligible.
a. Find the expected value and standard deviation of X.
b. Form a stick diagram of this distribution. Is the distribution skewed?
c. find var(X).
Transcribed Image Text:12. From the most recent national census, it is found that the number of children (X) in American families follows the following probability distribution: Number of Proportion of children, X families. P(x) 0.. ****........ 0.48 1. . 0.20 2.. 0.15 3.. 4. 5. 6. 0.08 0.05 ............ 0.03 .*......... 0.01 ......... It is assumed that the proportion of families with more than six children is negligible. a. Find the expected value and standard deviation of X. b. Form a stick diagram of this distribution. Is the distribution skewed? c. find var(X).
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