Question

The table below shows a sample of the distribution of income per age group for clients...

The table below shows a sample of the distribution of income per age group for clients that have bought an iPad in 2019

Age

<$25,000

$25,000-50,000

>$50,000

<25 years old

5%

10%

4%

25-35 years old

5%

20%

12%

36-55 years old

7%

15%

9%

>55 years old

3%

5%

5%

Determine the following probabilities:

4) P (income more than $25,000) =

5) P P (Income less than $50,000) =

6) P (Age more than 55 years old) =

7) P (Age less than 36 years old) =

8) P (Age between 25-55 OR income more than $50,000)

9) P (Age between 25-55 AND income more than $50,000)

10) P (Income less than $25,000 and age between 25-55 years old)

11) P (Age under 55 years and income less than $50,000)

Please be clear on your process and final anwser for each individual numbered question

Homework Answers

Answer #1

(there are more than 4 parts, as per policy i am answering first 4 parts)

4.

P (income more than $25,000) = sum of percentage in table which are under the 2nd and 3rd column

= 0.10+0.20+0.15+0.05 + 0.04+0.12+0.09+0.05

= 0.80

5.

P (Income less than $50,000) = sum of percentage in table which are under the 2nd and 1st column

= 0.10+0.20+0.15+0.05 + 0.05+0.05+0.07+0.03

= 0.70

6.

P (Age more than 55 years old) = sum of percentage in table which are in 4th row

= 0.03+0.05+0.03

= 0.11

7.

P (Age less than 36 years old) = sum of percentage in table which are in 1st and 2nd row

= 0.05+0.10+0.04+0.05+0.20+0.12

= 0.56

(please UPVOTE)

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