xx 2020 2121 2222 2323 2424 F(x)F(x) 2121 44 55 88 22 Let xx be the...

xx	2020	2121	2222	2323	2424
F(x)F(x)	2121	44	55	88	22

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

(a) P(x=22)=P(x=22)=

(b) P(x≥23 or x<21)=P(x≥23 or x<21)=

(c) P(20≤x<22)=P(20≤x<22)=

Expert Solution

Total frequency = 21 + 4 + 5 + 8 + 2 = 40

a) P(X = 22) = 5 / 40 = 0.125

b) P(X > 23 or X < 21) = P(X > 23) + P(X < 21)

= P(X = 23) + P(X = 24) + P(X = 20)

= 8/40 + 2/40 + 21/40

= 0.775

c) P(20 < X < 22) = P(X = 20) + P(X = 21)

= 21/40 + 4/40

= 0.625

milcah answered 2 hours ago

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