In May 2005, Tony Blair was elected for a historic third term as the British prime minister. A poll conducted after Blair's election indicated that only 32% of British adults would like to see their son or daughter grow up to become prime minister. If the same proportion of Americans would prefer that their son or daughter grows up to be president and 120 American adults are interviewed. Required:
a. What is the expected number of Americans who would prefer their child grow up to be president?
b. What is the standard deviation of the number Y who would prefer that their child grow up to be president?
c. Is it likely that the number of Americans who prefer that their child grow up to be president exceeds 40?