x 19 20 21 22 23 F(x) 18 10 7 8 5 Let x be the...

Question

Question

x 19 20 21 22 23

F(x) 18 10 7 8 5

Let x be the ages of students in a class. Given the frequency distribution F(x) above, determine the following probabilities:

(a) P(x>20)=

(b) P(x≤22)=

(c) P(x≥20)=

math Statistics-And-Probability

Answer 1

Answer #1

N= total frequency= 48

a. Calculate total frequency for

F(X>20) = F(21)+F(22)+F(23) =7+8+5= 20

P(X>20) = F(X>20)/N = 20/48 = 0.4167

b. F(X 22) = F(19)+F(20)+F(21)+F(22)

= 18+10+7+8 = 43

P(X22) = 43/48 = 0.8958

c. F(X 20) =F(20)+F(21)+F(22)+F(23)

= 10+7+8+5 =30

P(X20) = 30/48 =0.625

Answer 2

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