Suppose random variable X is equally like to be 1, 3, 5; while random variable Y is equally like to be 2, 4, 6. Let Z = X+Y. 1) How to simulate the random variable Z in excel? [Select] 2) what is the probability of getting Z=11? [Select] 3) what is the expected value of Z? [Select]

please  only do: if you can teach explain each

Suppose on a fair 8-sided die, The gambler rolls the die where the gambler loses $6 if a 1,2,3, or 4 is rolled. While on a roll of 5, 6, 7, 8 the gambler wins that amount. Let Q be the random variable representing the gambler's wins/losses in dollars. What is the variance of Q?  "Show the process" Pick the correct Answer. - 3/8   9/2   371/64   35/4   75/2   635/16

One common disease among pediatric patients is streptococcal pharyngitis (strep throat).  If a pediatric patient comes in to the pediatricians feeling ill, there is a 26% chance that they have strep throat. A doctor sees 7 pediatric patients on a particular day (assume these patients are independent).  Consider the random variable is a binomial random variable such that X = number of pediatric patients with strep throat. What is the expected number of pediatric patients with strep throat?