Please answer to 5-8thank you 5. A group of 80 students, including Charles and Lydia, are randomly split into 4 classes of equalsize. Charles and Lydia are friends and want to be in the same class together. What is theprobability that they end up in the same class together?A. 60/79В. 20/80С. 19/79D. 40/806. Let Y be a random variable whose value is the result of rolling an unfair 6-sided die. Theprobabilities for each value of Y are:2 3P(X) | 1/4 | 1/6 1/6 5/1214The variance of X is:A. 1.894В. 1.521С. 2.75D. 3.5897. Consider two independent random variables X and Y. The variable X has a mean and variance of2 and 4 respectively. The variable Y has a mean and variance of 3 and 5 respectively. A newrandom variable Z is defined as Z = 3Xx + 4Y. What is the standard deviation of Z?A. 10.77В. 116.0С. 32.0D. 18.08. You have a coin that is flipped that is not fair, with P(heads) = 0.6 and P(tails) = 0.4. We definesuccess in the coin flipping experiment as getting tails. A random variable T is defined as thenumber of flips required to obtain the first successful outcome in the experiment. What is thestandard deviation of T ?A. 1.054В. 2.5C. 1.937D. 1.667

Name: Please answer to 5-8thank you 5. A group of 80 students, including Cha
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please answer to 5-8thank you 5. A group of 80 students, including Charles and Lydia, are randomly split into 4 classes of equalsize. Charles and Lydia are friends and want to be in the same class together. What is theprobability that they end up in