A certain drug treatment cures90% of cases of certain disease in children. Suppose that 50 children suffering from the disease are to be treated. Let X be the number of cured among 50 children treated for the disease. Round your answers to four decimal place.

a) The probability that there are exactly 45 cured cases is:

b) The probability that the number of cured cases are between 30 and 45 is:

c) The probability that the number of cured cases is less than 41 is:

d) The probability that exactly 3 childrenwon't be cured is: