A recent story in the news states

"The Centers for Disease Control and Prevention is warning doctors about a strange cluster of illness in three states caused by a rarely seen bacteria in the U.S., one that's killed at least one person and hospitalized two others so far. The illness, called melioidosis, can be highly fatal but isn't normally considered contagious between people. Officials don't know how these victims contracted the bacteria, though the cases do seem to be connected.............

Because it's hard to diagnose melioidosis (some automated tests can even mistake the bacteria for another species, which happened in the first case), appropriate treatment is often delayed. But even with aggressive antibiotics given through IV, it's still regularly fatal, killing between10% to over 40%of its victims once symptoms begin."

Assume that the mortality rate from Melioidosis is 21% and that 5 more persons contract the disease associated with the bacteria. Find the probability

a.All 5 die

b.That at least 1 dies.

c. During 2008-2013, a total of 47 suspected melioidosis cases were reported to BSPB, and 37 confirmed cases are described in this report., how many do you expect to have died if the mortality rate is 21%?