A canoe club sponsor has taken many canoeing groups through a particularly rough section of white water

Question:

A canoe club sponsor has taken many canoeing groups through a particularly rough section of white water on a mountain river. Past trips and experience of the sponsor lead her to believe that for any canoe which travels through this section there is a 50 percent probability of it overturning. Assume that the sponsor's estimate of the probability of a canoe overturning in this section of water is accurate. At the present time, there is a group of 15 canoes approaching this treacherous section.
a. What is the size of the sample space of possible outcomes for this experiment if the outcome of interest (a success) is the number of canoes that capsize out of the group?
b. What is the expected number of canoes that will capsize out of this group (out to 2 decimal places)?
c. What is the standard deviation of the of canoes that will capsize (2 decimal places)?
d. What is the probability that none of the canoes will capsize (to 4 decimal places)?
e. What is the probability that all of the canoes will capsize (to 4 decimal places)?
f. What is the probability that no more than 7 of the canoes will capsize (to 4 decimal places)?
g. What is the probability that no fewer than 9 and no more than 12 of the canoes will capsize (to 4 decimal places)?
h. What is the probability that no fewer than 6 of the canoes will capsize (to 4 decimal places)?
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