PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!A spinner has five equal sections that are numbered 1 through 5.In which distributions does the variable X have a binomial distribution?Select EACH correct answer.When the spinner is spun three times, X is the sum of the numbers the spinner lands on.When the spinner is spun multiple times, X is the number of spins until it lands on 5.When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.When the spinner is spun five times, X is the number of times the spinner lands on 1.
Accepted Solution
A:
Answer: C & DStep-by-step explanation:A binomial experiment must satisfy ALL four of the following: A fixed number of trials Each trial is independent of the others There are only two outcomes (Success & Fail) The probability of each outcome remains constant from trial to trial.A) When the spinner is spun three times, X is the sum of the numbers the spinner lands on. → #3 is not satisfied (#4 is also not satisfied)B) When the spinner is spun multiple times ... → #1 is not satisfiedC) When the spinner is spun four times, X is the number of times the spinner does not land on an odd number. → Satisfies ALL FOUR A fixed number of trials = 4 Each trial is independent of the others = each spin is separate There are only two outcomes = Not Odd & Odd The probability of each outcome remains constant from trial to trial = P(X = not odd) = 0.50 for each spinD) When the spinner is spun five times, X is the number of times the spinner lands on 1. → Satisfies ALL FOUR A fixed number of trials = 5 Each trial is independent of the others = each spin is separate There are only two outcomes = 1 & Not 1 The probability of each outcome remains constant from trial to trial = P(X = 1) = 0.17 for each spin