An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal, find the probability that a randomly selected battery of this type will last less than 48 months.Determine the degrees of freedom & find the confidence coefficient of each. Write your answer on a separate sheet. 1. n = 6, 90% confidence 2. n = 29, 90% confidence 3. n = 12, 95% confidence 4. n = 31, 95% confidence 5. n = 24, 99% confidenceWrite your answer on a separate sheet. 1. Find p and q given X = 28, n = 110. 2. A total of 150 Gr. 8 students who have access to internet services were asked if they play games online before they attend classes. 105 students responded "yes". What is the population proportion of students who play video games before attending classes? What percent do not play video games before attending classes? Interpret.solve the given problem completely. Write your answer on a separate sheet. The number of driving miles before a certain kind of tire begins to show wear is on the average 16,800 miles with a standard deviation of 3,300 miles. A car rental agency buys 36 of these tires for replacement purposes & puts each one on a different car. What is the probability that the 36 tires will average more than 18,000 miles until they begin to show wear?Compute the population proportion condence interval of the following data. Writ: your answer on a separate sheet. Solve the problem completely. A nutritionist wants to know the population proportion of Gr. 1 1 learners who eat vegetables. Pegged at 99%, as survey among 1200 respondents was conducted and 500 said they eat vegetables