A percentage distribution is given below for the size of family in one U.S. city

Question

A percentage distribution is given below for the size of family in one U.S. city. A family is selected at random. Find the probability that the size of the family is less than 6.Round results to three decimal places. A) 0.955 B) 0.028 C) 0.983 D) 0.045 Let A and B be events such that P(A) =, P(B) =, and P(A or B) = Determine P(A & B) 1. Given letters ABCDEFGH: a. How many strings of length 5 can be formed using the letters ABCDEFGH is repetitions are not allowed? b. How many strings of part (a) begin with the letter H? c. How many strings of part (a) do not begin with the letter H?

Explanation / Answer

Q 17)

Let us assume the number of families in the US city be x

Percentage of family of 7+ = 1.7

Percentage of family of 6 = 2.8

Therefore percentage of families less than 6 is 100 - 2.8 - 1.7 = 95.5%

Total number of families having less than 6 members are (95.5 * x)/100

Hence probability of the size of family randomly choosen to be less than 6 is 95.5*x / x * 100 = 0.955

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