Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 27 and p = 0.40. (For each answer, enter a number. Use 2 decimal places.)

n.p =

n.q =

Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by

_.)

P

be approximated by a normal random variable because

first blank

O Yes

O No

second blank

O can

cannot

third blank

n.q does not exceed

On.p and n.q do not exceed

On.p does not exceed

On.p exceeds

O n.q exceeds

O both n.p and n.q exceed

X

fourth blank (Enter an exact number.)

What are the values of u, and o,? (For each answer, enter a number. Use 3 decimal places. )

(b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by

be approximated by a normal random variable because