Multinomial Experiments In Exercises 33 and 34, use the information below. A multinomial

Chapter 4, Problem 34

(choose chapter or problem)

Multinomial Experiments In Exercises 33 and 34, use the information below. A multinomial experiment is a probability experiment that satisfies these conditions. 1. The experiment has a fixed number of trials n, where each trial is independent of the other trials. 2. Each trial has k possible mutually exclusive outcomes: E1, E2, E3, . . ., Ek . 3. Each outcome has a fixed probability. So, P1E12 = p1, P1E22 = p2, P1E32 = p3, . . ., P1Ek2 = pk. The sum of the probabilities for all outcomes is p1 + p2 + p3 + g+ pk = 1. 4. The number of times E1 occurs is x1, the number of times E2 occurs is x2, the number of times E3 occurs is x3, and so on. 5. The discrete random variable x counts the number of times x1, x2, x3, . . ., xk occur in n independent trials where x1 + x2 + x3 + g+ xk = n. The probability that x will occur is P1x2 = n! x1!x2!x3! gxk! p1 x1 p2 x2 p3 x3gpk xk.Genetics Another proposed theory in genetics gives the correspondingprobabilities for the four types of plants described in Exercise 33 as 516, 416, 116,and 616. Ten plants are selected. Find the probability that 5 will be tall andcolorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will beshort and colorless.