10. (two points) I always wanted to give away my vast wealth, so I am going to have a lottery next year. You have to pick the five winning numbers from 1-30. Each randomly selected numberis different and order doesn’t matter. What is the probability of your winning?Number of ways of picking 5 numbers=30 C5=5!(30-5)!30!=5*4*3*2*1*25!
11. (two points) In a study of families with children with disabilities, group of 6 US households were randomly selected. In the table below, the random variable x represents the number of households among 6 that had a child with a disability living there. xP(x)00.0210.1520.2930.3140.1150.12a)Is this a probability distribution?
b)What is the mean?
c)What is the standard deviation?(2.7)^2.02+(1-2.7)^2.15+(2-2.7)^2.29+(3-2.7)^2.31+(4-2.7)^2.11+(5-2.7)^2.12