Answer Happy

I would like a hand solved answer thank you. I will rate for all
1. Waiting times to see a doctor at a large clinic are normally distributed with a mean of 68.2 minutes and a standard deviation of 14.8 minutes. Find the probability that the waiting time to see a doctor is less than 45.0 minutes. 2. Consider a binomial distribution with 15 identical trials, and probability of success of 0.5. Find the exact probability that x = 2. b. Use the normal approximation to find the probability that x = 2. a. 3. Consider a binomial distribution with 12 identical trials, probability of success of 0.3. a. Find the probability that x = 3 using the binomial tables. b. Use the normal approximation to find the probability that x = 3. 4. A machine cuts circular filters from large rolls of material. If 7.3% of the filters fail to meet specifications, use the normal approximation to the binomial to compute the probability that a sample of 100 of the filters will contain 5 or fewer that fail to meet specifications. 5. If 25% of all students entering a certain university drop out during or at the end of their first year, what is the probability that more than 550 of this year's entering class of 2000 will drop out during or at the end of their first year? 6. A test-scoring machine is known to record an incorrect grade on 5% of the exams it grades. Find, by the appropriate method, the probability that the machine records a. 2 wrong grades in a set of 10 exams. b. no more than 2 wrong grades in a set of 10 exams. c. no more than 2 wrong grades in a set of 15 exams. d. no more than 2 wrong grades in a set of 150 exams.