PLEASE ONLY ANSWER QUESTION D

P (X - X ) = ( 3) 10.22)* (1- 0. 22)3 x = 0, 1,213 5. The probability a person at a particular school works full time is 22%. Three people are randomly selected from this school. X = #Of people work full time Binomial ( 3, 0.22) a) What is the probability all three work full time? P(All 3 work full time ) P ( x = 3 ) = ( 3 ) ( 0 2 2 ) 3 ( 1 - 0 . 22 ) 8 - 3 = (0 . 2 2 ) = 0 . 010648 = 0.0106 elder ( .22 ) 5 = 0.0106 b) What is the probability none of the three work full time? P ( NONe of 3 work full time ) P ( X = 0 ) = (2) 10.22)0 ( 1 -0.22 ) 3-0 = 0.474652 = 0.4746 (. 78) 3 = 0.4746 c) What is the probability that at least one of them works full time? P (At least I works fulltime ) ed morse pitt validedone and P (X =1) = 1-P(X= 0) = 1-0.474552=0.5254 1 - (0 78 X 0.78X 0.78)= 0.5254 d) BONUS +2 POINTS. You must use techniques from this section and cannot use binomial to answer this question. What is the probability that exactly one person of the three works full time