8. A new medication is being tested on 400 patients with the same illness. It is given that 30% of patients who receive

[answerhappygod]

8 A New Medication Is Being Tested On 400 Patients With The Same Illness It Is Given That 30 Of Patients Who Receive 1 (151.97 KiB) Viewed 24 times

8. A new medication is being tested on 400 patients with the same illness. It is given that 30% of patients who receive the medication will experience a negative side effect. Assume that this test is a binomial experient, where the outcome of each treatment is independent from patient to patient. (a) (2 points) Find the expected value and the variance for the number of patients who will experience the negative side effect. You may use the known formulas for the binomial distribution. (b) (4 points) Use the standard normal distribution to approximate the probability that less than 100 patients will experience negative side effects. Be sure to apply the continuity correction to the normal distribution probability. You may express your answer up to 4 decimal places. (c) (4 points) Use the standard normal distribution to approximate the 99th percentile for the number of patients with side effects. Your answer should be an integer.