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. A medical research project examined the relationship between a subject\'s weig

ID: 2925685 • Letter: #

Question

. A medical research project examined the relationship between a subject's weight and recovery time from a surgical procedure, as shown in the table below. One patient is randomly selected from the 250.

Underweight

Normal weight

Overweight

Total

Less than 3 days

6

15

4

25

3 to 7 days

30

95

20

145

Over 7 days

14

40

26

80

Total

50

150

50

250

a.

What is the probability the selected patient is not underweight? (5 pts.)

b.

What is the probability the selected patient will recover in fewer than 3 days? (5 pts.)

c.

Given that recovery takes over 7 days, what is the probability the selected patient is overweight? (10 pts.)

d.

What is the probability the selected patient is normal weight and will recover in fewer than 3 days? (10 pts.)

e.

What is the probability the selected patient is normal weight or will take over 7 days to recover? (10 pts.)

Underweight

Normal weight

Overweight

Total

Less than 3 days

6

15

4

25

3 to 7 days

30

95

20

145

Over 7 days

14

40

26

80

Total

50

150

50

250

Explanation / Answer

a) Total who are not underweight = 200

So, P = 200/250 = 0.8

b) Total fewer than few days = 25

So, P = (25)/250 = 0.1

c) P = 26/80 = 0.325

d) Here, P = 15/250 = 0.06

e) P = (150+ 80 - 40)/250 = 0.76