Can you please help with this question A,B,C,D and E. m 1: Chapters 1-4 x modes

Question

Can you please help with this question A,B,C,D and E. m 1: Chapters 1-4 x modes eval&icourse; id 68 Problem 4 A ballet instructor is interested in knowing what percent of each year's class will continue on to the next so that she can plan what classes to offer. Over the years she has establiched the following probability distribution. etthe number of years a stuadent will study ballet with the teacher and P(z)-the probabilty that a student will study ballet foryears) P(r) 0.1 02 005 015 6015 01 a Complete the table using the data provided b. The probability that a student studies ballet with this teacher for three years c The probabilty that a student studies ballet with this teacher for less than three years d What is the sum of the entries in the P(z) column? e On average, we would expect a student to spend yers studying with this teacher Problem 5

Explanation / Answer

(a)

(b). p(x=3) = 0.25

(c).  p(x<3) = 0.1 + 0.2 = 0.3

(d). Sum of p(x) = 1

(e) E(X) = sum of X.p(x) = 3.8

x p(x) x p(x) 1 0.1 0.1 2 0.2 0.4 3 0.25 0.75 4 0.05 0.2 5 0.15 0.75 6 0.15 0.9 7 0.1 0.7

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