A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the sample, that candidate will be forecast as the winner of the election. You select a random sample of 100 voters. Complete parts (a) through (c) below. a. What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%? The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%. (Round to four decimal places as needed.) A survey of 2,250 adults reported that 55% watch news videos. Complete parts (a) through (c) below. a. Suppose that you take a sample of 100 adults. If the population proportion of adults who watch news videos is 0.55, what is the probability that fewer than half in your sample will watch news videos?.. The probability is that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.59 inches and a standard deviation of 0.05 inch. A random sample of 10 tennis balls is selected. Complete parts (a) through (d) below. B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will also be approximately normal. C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 cannot be found. D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will be the uniform distribution. b. What is the probability that the sample mean is less than 2.57 inches? P(X