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 1-20. Each randomly selected numberis different and order doesn’t matter. What is the probability of your winning?
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?12. (two points) I am going to roll two fair dice. a)List the sample space. 36
b)What is the probability that I will roll a 3 on one of them when I roll both at the same time?
c)What is the probability that I will roll at least a sum of 7 when I roll them both?
d)Define mutually exclusive.