Acertain medical test is known to detect 64% of the people who are afflicted with the disease y. if 10 people with the disease are administered the test, what is the probability that the test will show that:
a. all 10 have the disease, rounded to four decimal places?
b. at least 8 have the disease, rounded to four decimal places?
c. at most 4 have the disease, rounded to four decimal places?