This is in Statistics about normal approx to binom and applications. Solve the 2 problems below. Provide a clean and clear handwritten complete solutions. Minimize erasures. Thank you and godbless.

PRBSTAT Exercise 7 Normal Approx to Binom and Applications Solve each of the following problems: 1. On a statistics examination, grades of 70 and 88 corresponds to standard score of 0.6 and 1.4, respectively. Find the mean and standard deviation. 2. Due pandemic, a man going to his work spends about an average time of 40 minutes with a standard deviation of6 minutes. He would be late when he get to his ofce after 8:00 AM. (a) If he leaves his house at 7:30 A.M., what is the probability that he will be late? (1)) Find the probability that the trip takes at least 45 minutes. (c) Find the probability that 3 ofthe next 5 trips takes at least 45 minutes