Health officials are investigating the side effects after the first jab of a Covid vaccine among women. The side effects are defined as common side effects other than mild pain at the injection side. A random sample of women aged 31-40 years was selected from a list of vaccinated individuals. A telephone survey was used to enquire whether they experienced any of the side effects after the first jab.

Q 6,7,8

Question 6 Based on previous studies for women aged 20-60 years. the time in hours that pain lasts at the injection side after the jab is assumed to follow a Normal distribution with a mean of 19.6 hours and a standard deviation of 6.7 hours. The probability that a randomly selected woman has pain at the injection side for less than 14 hours is 0 0.1008 0 0.2016 0 0.7984 0 0.8992 Question 7 Based on the distribution from Question 6, the shortest time of experiencing pain that would be in the upper 10% of pain durations is O 11.01 hours 17.64 hours 0 20.27 hours 0 28.19 hours Question 8 Suppose that a random sample of 3 women is taken from the distribution in Question 6. The probability that the total pain duration experienced by the 3 women is more than 64 hours is 0 0.8270 0 0.5345 0 0.6730 0 0.9067