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The census bureau gives this distribution for the number of a family household's related children under the age of 1818 in american households in 2016: number of children 00 11 22 33 44 proportion 0. 580. 58 0. 180. 18 0. 160. 16 0. 60. 06 0. 20. 02 in this table, 44 actually represents four or more (the census bureau does not provide separate information on households with 5,5, 6,6, or more children under the age of 18). 18). But for purposes of this exercise, assume that it means only households with exactly four children under the age of 18. 18. This is also the probability distribution for the number of children under 1818 in a randomly chosen household. The expected value of this distribution is the average number of children under 1818 in a household. What is this expected value? (use decimal notation. Give your answer as an exact number. )



Answer :

The average number of children in a family under the age of 1818 is 0.76, which is the predicted value of this distribution.

The product of each potential result and its associated probability yields the anticipated value of a probability distribution. The probable outcomes in this scenario are 0, 1, 2, 3, & 4 minors, with the associated probability shown in the table.

We may add the products of each result and its probability to determine the estimated return of this distribution:

Expected value = (0)(0.58) + (1)(0.18) + (2)(0.16) + (3)(0.06) + (4)(0.02)

= 0 + 0.18 + 0.32 + 0.18 + 0.08

= 0.76

Therefore, 0.76 children below the age of 18 per household are the anticipated value of this distribution.

Learn more about the probability distribution at

https://brainly.com/question/14210034

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