. The table below describes the results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. # of 0 1 2 3 4 5 6 7 8 9 10 girls x P(x) .001 .010 .044 117 .205 .246 .205 117 .044 .010 .001 a) Find the mean and the standard deviation for the number of girls in 10 births. b) Find the probability of getting exactly 8 girls in 10 births c) Find the probability of getting exactly 8 or more girls in 10 births d) Which probability is relevant for determining whether 8 is is an unusually high number of girls in 10 births: the result from part (b) or part (c)? Explain. 1. A basketball player traditionally makes 85% of her free throws. Suppose she shoots 10 baskets and counts the number she makes. What is the probability that she makes less than 8 baskets? 2. If a committee has 7 members, find the probability of having more female members than male members given that the probability of having a male or a female member is equal. 3. The number of deals cracked by an agent per day is a random Poisson variable with mean 2. Given that each day is independent of other day, find the probability of getting 2 deals cracked on first day and 1 deal to be cracked the next day