A random experiment was conducted where a Person A tossed five coins and recorde

Question

A random experiment was conducted where a Person A tossed five coins and recorded the number of “heads”. Person B rolled two dice and recorded the smaller number out of the two dice. Simulate this scenario (use 10000 long columns) and answer questions 10 to 13.

Hint: check Lectures 26 and 27 in the Book.

10. Which of the two persons (A or B) is more likely to get the number 1?

a. Person A

b. Person B

c. Not possible to determine

11. Which of the two persons will have higher Variation in their outcomes (i.e. higher Standard deviation)?

a. Person A

b. Person B

c. Not possible to determine

12. What is the probability that person A obtains the numbers 5 or 6?

a. About 3%

b. About 8%

c. About 10%

d. About 15%

13. Which of the persons has higher probability of getting the number 3 or larger?

a. Person A

b. Person B

c. Not possible to determine

Tutorial

Explanation / Answer

10) Person A tossed five coins and recorded the number of “heads”.

Person B rolled two dice and recorded the smaller number out of the two dice.

Person A is more likely to get the number 1. Because Person A have more chances to get 1.

Option- (b)

11) Person B will have higher Variation in their outcomes (i.e. higher Standard deviation). Because person B getting the smaller number out of the two dice.

Option- (b)

12) the probability that person A obtains the numbers 5 or 6 is 0.03

Option- (a)

13) the persons has higher probability of getting the number 3 or larger is Person B

Option- (b)

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