A social worker for a child advocacy center has a caseload of 24 children under

Question

A social worker for a child advocacy center has a caseload of 24 children under the age of 18. Her caseload by age is shown in the table below. Complete parts (a) through (c). (a) What is the probability that one of her clients, selected at random, is between 6 and 10 years old? Is this unusual? The probability that one of her clients, selected at random, is between 6 and 10 years old is 0.208. (Round to the nearest thousandth as needed.) Is this unusual? Yes No (b) What is the probability that one of her clients, selected at random is more than 5 years old? The probability that one of her clients, selected at random, is more than 5 years old is 0.667 (Round to the nearest thousandth as needed) c) What is the probability that one of her clients, selected at random is less than 1 year old? Is this unusual? The probability that one of her clients, selected at random is less than 1 year old is (Round to the nearest thousandth as needed)

Explanation / Answer

a) P(one of the clients is between 6 and 10 years old) = (No. of children between 6 and 10 years)/Total no. of children
= 5/24 = 0.2083333

b) P(one of the clients is more than 5 years old) = (No. of children more than 5 years old)/Total no. of children
= (5+7+4)/24 = 0.6666667

c) P(one of the clients is less than 1 year old) = (No. of children less than 1 year old)/Total no. of children
= 1/24 = 0.04166667

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