The age dis B, C, and S be defined as follows. Complete parts (a) through (d) be

Question

The age dis 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 for politicians in a certain country is shown in the accompanying table. Suppose that a politician is selected at random. Let events A X Number of Politicians Por Age Bracm Age (yr) No. of politicians Click the lcon to view the number of poiliticians in each age bracket a. Use the table and the t/N rule to find P(S) Under 50 50-59 60-69 70-79 80 and over P(S)-(Type an integer or a decimal. Round to three decimal places as needed,) b. Express event S in terms of events A, B, and C Select the correct answer below. Print Done OA. S (A and B and C) B. s-P(A) + P(B) . P(C)-P(A and B)-P(A and C)-P(B and C) O c. s-P(A) + P(B) + P(C) O D. S (A or B or C) c. Determine P(A), P(B), and P(C).

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

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