Gluten sensitivity, which is also known as wheat intolerance, affects approximately 15% of people. The condition involves great difficulty in digesting wheat, but is not the same as wheat allergy, which has much more severe reactions .A random sample of 800 individuals is selected.
a. Find the probability that the number of individuals in this sample who have wheat intolerance is
i. Exactly 115
ii. 103 to 142
iii. At least 107
iv. At most 100
v. Between 111 and 123
b. Find the probability that at least 675 of the individuals in this sample do not have wheat intolerance.
c. Find the probability that 682 to 697 of the individuals in this sample do not have wheat intolerance.