Question

A biased coin with probability 0.75 of landing tails is tossed until the fourth tail comes up. Let X be the number of tosses up to and including the fourth tail. Which of the following statements are correct? Multiple select question. The smallest possible value of X is 4. The smallest possible value of X is 0. X has a binomial distribution with parameters r = 4 and p = 0.75. X has a negative binomial distribution with parameters r = 4 and p = 0.75.

Name: a biased coin with probability 075 of landing tails is tossed until the fourth tail comes up let x be the number of tosses up to and including the fourth tail which of the following statemen 13296
Uploaded: 2022-04-07T19:32:37-08:00
Duration: 1 min 34 s
Channel: Matthew Elliott
Description: a biased coin with probability 075 of landing tails is tossed until the fourth tail comes up let x be the number of tosses up to and including the fourth tail which of the following statemen 13296

          A biased coin with probability 0.75 of landing tails is tossed until the fourth tail comes up. Let X be the number of tosses up to and including the fourth tail. Which of the following statements are correct?
Multiple select question.
The smallest possible value of X is 4.
The smallest possible value of X is 0.
X has a binomial distribution with parameters r = 4 and p = 0.75.
X has a negative binomial distribution with parameters r = 4 and p = 0.75.

Added by Robyn M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Matthew Elliott

04/07/2022

Step 1

We are tossing a biased coin with a probability of 0.75 for tails until we get the fourth tail. We need to analyze the random variable \( X \), which represents the total number of tosses needed to achieve this. Show more…

Show all steps

Thanks for your feedback!

A biased coin with probability 0.75 of landing tails is tossed until the fourth tail comes up. Let X be the number of tosses up to and including the fourth tail. Which of the following statements are correct? Multiple select question. The smallest possible value of X is 4. The smallest possible value of X is 0. X has a binomial distribution with parameters r = 4 and p = 0.75. X has a negative binomial distribution with parameters r = 4 and p = 0.75.