Question
Asked Sep 23, 2019
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xx 2020 2121 2222 2323 2424
F(x)F(x) 2424 44 99 55 11



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)=

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Equation Editor

 

(b) P(x≤23)=P(x≤23)=

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Equation Editor

 

(c) P(20≤x<22)=P(20≤x<22)=

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Equation Editor
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Expert Answer

Step 1

Here the numbers are repeated twice. So consider the below table for further calculations.

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20 21 22 23 24 X F(x) 24 4 9 5 1

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Step 2

(a)

The value of P(x=22) is obtained below:

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F(X 22) P(X=22)= F(X = 20) + F(X = 21)+F(X = 22) | - +F(X 23)+F(X= 24) 24 4 9 5+1 43 =0.209

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Step 3

(b)

The value of P(x≤23) i...

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P(X23)=(X = 20)+ F(X=21) + F (X = 22)+ F(X = 23) F(X 20) F (X 21)+ F(X 22)] +F(X 23)+F(X = 24) 24 4 9 5 24 4 9 5+1 42 43 - 0.977

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