According to a report from a business intelligence company, smartphone owners are using an average of 19 apps per month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard deviation is 5. Complete parts (a) through (d) below. . . . a. If you select a random sample of 36 smartphone owners, what is the probability that the sample mean is between 18.5 and 19.5? (Round to three decimal places as needed.)Fulltime college students report spending a mean of 25 hours per week on academic activities. both inside and outside the classroom Assume the standard deviation of time spent on academic activities is 5 hours. Complete pans (a) through [d] below. a. fyou select a [andom sample of 15 full-time college students, what is the pfobability that the meantime spent on academic activities is at least 24 hours per week? (Round to four decimal places as needed.) A random sample of 76 households was selected for a phone survey. The key question asked was, "Do you or any member of your household own a product from Company A?" Of the 76 respondents, 57 said yes and 19 said no. a. Determine the sample proportion, p, of households that own a Company A product. b. If the population proportion is 0.65, determine the standard error of the proportion. a. p= (Round to two decimal places as needed.)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 marketing survey is conducted in which students are to taste two different brands of soft drink. Their task is to correctly identify the brand tasted. A random sample of 180 students is taken. Assume that the students have no ability to distinguish between the two brands. Complete (a) through (d) below. OD a. What is the probability that the sample will have between 50% and 55% of the identifications correct? (Round to four decimal places as needed.)