Geometric Random Variables Answers

13 verified answers1 views
1
Free Preview

Marshall spins a prize wheel with 4 segments of equal size, one of which is labeled “winner.” Let X = the number of spins until Marshall wins a prize.

Answers:
1. Are the outcomes binary?:yes
Success/Failure::win, do not win
2. Are the trials independent?:yes
3. Are we counting the number of trials to obtain the first success?:yes
4. Is the probability of success the same for each trial?:yes, p = 0.25
2
Free Preview

✔ win, do not winspin, do not spinwin on the first try, do not win on first try

A
✔ win, do not win
B
spin, do not spin
C
win on the first try, do not win on first try
3

✔ yesno

A
✔ yes
B
no
4

✔ yesno

A
✔ yes
B
no
5

no✔ yes, p = 0.25yes, p = 0.5yes, p = 0.333

A
no
B
✔ yes, p = 0.25
C
yes, p = 0.5
D
yes, p = 0.333
163884

Eighteen percent of apples grown in an orchard have defects. Let X = the number of apples that are randomly inspected from the orchard until a defective one is found.

Answers:
1. Are the outcomes binary?:yes
Success/Failure::defect, no defect
2. Are the trials independent?:yes
3. Are we counting the number of trials to obtain the first success?:yes
4. Is the probability of success the same for each trial?:yes, p = 0.18
163885

✔ defect, no defect18 percent, 82 percentapple, not an apple

A
✔ defect, no defect
B
18 percent, 82 percent
C
apple, not an apple
163886

✔ yesno

A
✔ yes
B
no
163887

✔ yesno

A
✔ yes
B
no
163888

no✔ yes, p = 0.18yes, p = 0.50yes, p = 0.82

A
no
B
✔ yes, p = 0.18
C
yes, p = 0.50
D
yes, p = 0.82
163895

0.4 1.414 4.359 ✔ 19.494

A
0.4
B
1.414
C
4.359
D
✔ 19.494

Did you find these answers helpful?