0 Round your answers to 4 decimal places I. Assume Z~N(0, 1), find the area of the following: 1. Less than 2.10 2. Between 1.24 and 2.56 II. Assume X"Nl9, 4), find the area of the following: 3. Between 10 and 13 4. Between 3 and 8 5. Greater than 13 6. The random variable x has a normal distribution with mean 5.2 and variance 9. Find the value of at, call it x,, such that P0: 5 In) = 0.8770 7. The random variable X has a normal distribution with mean 5 and standard deviation 2.3. Find the value of 1, call It Ia, suchthat P(x,, 5 x s 7) = 0.6858 8. A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a 99% confidence interval for the population mean p. 9. The operations manager of a large production plant would like to measure the amount of time (in minutes) a worker takes to assemble a new electronic component. The observed data by the manager are 5.21, 4.31, 3.64, 4.17, 3.88, 4.52, 3.81, 4.71, 8.92. Note: Round your answers to 4 decimal places a. Estimate the population mean and standard deviation b. Construct a 98% Condence interval