2. In a certain county, the probability of being a baby girl is 0.487. Among the next five randomly selected births in this county, what is the probability that at least one of them is a boy? Round to 3 decimal places, 3. Refer to the accompanying table, which describes the number of adults in groups of five who reported sleepwalking. x P (X ) 0 0.183 1 0.359 2 0.302 3 0.116 4 0.035 5 0.005 a. Is a probability distribution given? YES or NO Write out all conditions then check each of them. (Show how you've checked them below. Don't forget to circle YES or NO after checking if the table is a probability distribution.) b. Find the mean of the random variable x. Write a sentence to interpret that value in the context of the problem, using terms like "sleepwalkers" and "group of adults." Do not round your answer. c. What is the probability of getting exactly 4 sleepwalkers in a group of 5 adults? d. What is the probability of getting 4 or more sleepwalkers in a group of 5 aculites