A center for medical services reported that there were 295,000 appeals for hospitalization and other services. For this group, 55% of first-round appeals were successful. Suppose 10 first-round appeals have just been received by a Medicare appeals office. (Round your answers to four decimal places.)   (a) Compute the probability that none of the appeals will be successful.   (b) Compute the probability that exactly one of the appeals will be successful.   (c) What is the probability that at least two of the appeals will be successful?   (d) What is the probability that more than half of the appeals will be successful?

According to a recent article on the website www.fivethirtyeight.com, 30% of Americanssay they’re trying to reduce or eliminate gluten in their diets. Suppose you have 50volunteers and are interested in the number of them that are trying to reduce oreliminate gluten in their diets.a.) Find the probability that exactly 20 of the volunteers are trying to reduce oreliminate gluten in their diets. Use the formula.b.) Find the probability that 15 or fewer of the volunteers are trying to reduce oreliminate gluten in their diets. Use the calculator.c.) Find the probability that at least 27 of the volunteers are trying to reduce oreliminate gluten in their diets. Use the calculator.

In a certain high school, the probability that a student drops out is 0.1, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.25. What is the probability that a randomly selected student gets a GED?

16% of individuals insured by AllState have received at least one traffic ticket.  For a sample of 135 insured individuals, what is the probability that between 14 and 27 of them have received at least one ticket? (Round to four decimals).