Question

Suppose we roll a six-sided die repeatedly. We continue to do this until an even number is observed. Let Y be the total number of times we rolled the die. Then Y has: O a binomial distribution, with mean 0.5. O a binomial distribution, with mean 1/6. O None of the answer options is correct. O a binomial distribution, with variance 0.707.

Name: suppose we roll a six sided die repeatedly we continue to do this until an even number is observed let y be the total number of times we rolled the die then y has o a binomial distribution w 35845
Uploaded: 2023-11-21T14:02:23-08:00
Duration: 1 min 10 s
Channel: Dominador Tan
Description: suppose we roll a six sided die repeatedly we continue to do this until an even number is observed let y be the total number of times we rolled the die then y has o a binomial distribution w 35845

          Suppose we roll a six-sided die repeatedly. We continue to do this until an even number is observed. Let Y be the total number of times we rolled the die. Then Y has:
O a binomial distribution, with mean 0.5.
O a binomial distribution, with mean 1/6.
O None of the answer options is correct.
O a binomial distribution, with variance 0.707.

suppose we roll a six sided die repeatedly we continue to do this until an even number is observed let y be the total number of times we rolled the die then y has o a binomial distribution w 35845

Added by Caleb C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Dominador Tan

11/21/2023

Step 1

Y is the number of trials until the first success (observing an even number). This is the definition of a geometric distribution. Step 2: Determine the probability of success (p). A six-sided die has faces {1, 2, 3, 4, 5, 6}. The even numbers are {2, 4, 6}. The Show more…

Show all steps

Thanks for your feedback!

Suppose we roll a six-sided die repeatedly. We continue to do this until an even number is observed. Let Y be the total number of times we rolled the die. Then Y has: O a binomial distribution, with mean 0.5. O a binomial distribution, with mean 1/6. O None of the answer options is correct. O a binomial distribution, with variance 0.707.