Snapple Real Fact #940 informs us that 40% of twins invent theirown language. Calculate the following theoretical probabilities for50 sets of twins.

1. Find the probability that at least one of the sets of twinsinvented their own language.
2. Find the probability that no more than 15 of the sets of twinsinvented their own language.
3. Find the probability that more than 40 of the sets of twinsinvented their own language.
4. Find the probability that between 10 and 20 of the sets oftwins invented their own language (inclusive).
5. Of those 50 sets of twins, how many can we expect to inventtheir own language? What is the standard deviation for thisgroup?