(1 point) A survey asked high school seniors how many children they would like t
ID: 3259361 • Letter: #
Question
(1 point)
A survey asked high school seniors how many children they would like to have after they get married. A probability distribution was created to display the probability of X, children. It is
This distribution has a mean of 1.71 children and a standard deviation of 1.33 children. Find the following probabilities.
A. What proportion of this probability distribution is within one standard deviation of the mean? .
Proportion =
B. What proportion of this probability distribution is within two standard deviations of the mean?
Proportion =
C. What shape best describes this distribution? Enter 1 for skewed left, enter 2 for skewed right, enter 3 for uniform, and enter 4 for bell shaped.
Shape is
X 0 1 2 3 4 5 6 7 P(X) 0.237 0.193 0.309 0.185 0.05 0.014 0.01 0.002Explanation / Answer
Answer:
A survey asked high school seniors how many children they would like to have after they get married. A probability distribution was created to display the probability of X, children. It is
X
0
1
2
3
4
5
6
7
P(X)
0.237
0.193
0.309
0.185
0.05
0.014
0.01
0.002
This distribution has a mean of 1.71 children and a standard deviation of 1.33 children. Find the following probabilities.
A. What proportion of this probability distribution is within one standard deviation of the mean? .
P( x-sd< x <x+sd) = P( 0.38<x<2.04)
=0.193+0.309
=0.502
Proportion = 0.502
B. What proportion of this probability distribution is within two standard deviations of the mean?
P( x-2sd< x <x+2sd) = P( -0.95<x<4.37)
=0.237+0.193+0.309 +0.185+0.05
=0.974
Proportion = 0.974
C. What shape best describes this distribution? Enter 1 for skewed left, enter 2 for skewed right, enter 3 for uniform, and enter 4 for bell shaped.
Shape is 2 for skewed right
X
0
1
2
3
4
5
6
7
P(X)
0.237
0.193
0.309
0.185
0.05
0.014
0.01
0.002
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.