Bernoulli, part 2.

Can we use probability models based on Bernoulli trials to investigate the following situations?

Explain.

a) You are rolling 5 dice. How likely is it to get at least two 6’s to win the game?

b) You survey 500 potential customers to determine their color preference.

c) A manufacturer recalls a doll because about 3% have buttons that are not properly attached. Customers return 37 of these dolls to the local toy store. How likely are they to find any buttons not properly attached?

d) A city council of 11 Republicans and 8 Democrats picks a committee of 4 at random. How likely are they to choose all Democrats?

e) An executive reads that 74% of employees in his industry are dissatisfied with their jobs. How many dissatisfied employees can he expect to find among the 481 employees in his company?