pew research center reported that among moths, family size is shrinking. suppose we are to randomly select…

pew research center reported that among moths, family size is shrinking. suppose we are to randomly select one mother (age 40 to 44) and record the number of children she has. here is a probability model.\nnumber of children 1 2 3 4+\nprobability 0.22 0.41 0.24 0.13\nexplain why this is a valid probability model.\n□ each probability is not between 0 and 1. the probabilities add up to 1.\n□ each probability s between 0 and 1. the probabilities do not add up to 1.\n□ each probability is between 0 and 1. the probabilities add up to 1.\n□ each probability is not between 0 and 1. the probabilities do not add up to 1.

pew research center reported that among moths, family size is shrinking. suppose we are to randomly select one mother (age 40 to 44) and record the number of children she has. here is a probability model.\nnumber of children 1 2 3 4+\nprobability 0.22 0.41 0.24 0.13\nexplain why this is a valid probability model.\n□ each probability is not between 0 and 1. the probabilities add up to 1.\n□ each probability s between 0 and 1. the probabilities do not add up to 1.\n□ each probability is between 0 and 1. the probabilities add up to 1.\n□ each probability is not between 0 and 1. the probabilities do not add up to 1.

Answer

Brief Explanations:

A valid probability model requires two conditions: 1) every individual probability is between 0 and 1 (inclusive), and 2) the sum of all probabilities equals 1. First, check each given probability: 0.22, 0.41, 0.24, 0.13 are all between 0 and 1. Then sum them: $0.22 + 0.41 + 0.24 + 0.13 = 1$. Both conditions are satisfied.

Answer:

Each Probability is between 0 and 1. The Probabilities add up to 1.