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table. Suppose that a politiclan is selected at random. Let events A, The age di

ID: 3066409 • Letter: T

Question

table. Suppose that a politiclan is selected at random. Let events A, The age distribution for politicians in a certain country is shown in the B, C, and S be defined as follows. Complete parts (a) through (d) below A event the politician is under 50 B event the politician is in his or her 50s C event the politician is in his or her 60s s event the politician is under 70 Number of Politiians Per Age Brach EB Click the licon to view the number of politicians in each age bracket Age (yr) No. of politicians Under 50 50-59 70-79 80 and over Print Done P(C) Type integers or decimals. Round to three decimal places as needed.) d. Compute P(S), using the special addition rule and your answers from parts (b) and (o) Compare your answer with that in part (a). Using the special addition rule, the probability of event S (Type an integer or a decimal. Round to three decimal places as needed.) This is the answer in part (a).

Explanation / Answer

Solution:-

a) P(S) = 0.7404

t = 11 + 25 + 41

t = 77

n = 104

P(S) = 77/104

P(S) = 0.7404

b) D). S = (A or B or C)

c)

P(A) = 0.10577

t = 11

n = 104

P(A) = 11/104 = 0.10577

P(B) = 0.24038

t = 25

n = 104

P(B) = 25/104 = 0.24038

P(C) = 0.39423

t = 41

n = 104

P(C) = 41/104 = 0.39423

d) P(S) = 0.6442

P(S) = P(A) + P(B) + P(C)

P(S) = 0.10577 + 0.24038 + 0.39423

P(S) = 0.74038