Question

# Suppose we have a binomial experiment in which success is defined to be a particular quality...

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

(a)

• Suppose n = 36 and p = 0.31.

(For each answer, enter a number. Use 2 decimal places.)
n·p =
n·q =

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

_____, _____ be approximated by a normal random variable because _____ _____.

first blank

Yes

No

second blank

can

cannot

third blank

both n·p and n·q exceed

n·q exceeds

n·p does not exceed

n·p exceeds

n·q does not exceed

n·p and n·q do not exceed

fourth blank (Enter an exact number.)

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

σ =

(b)

Suppose

• n = 25 and p = 0.15. Can we safely approximate 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 _____ _____.

first blank

Yes

No

second blank

can

cannot

third blank

both n·p and n·q exceed

n·q exceeds

n·p does not exceed

n·p exceeds

n·q does not exceed

n·p and n·q do not exceed

fourth blank (Enter an exact number.)

(c)

Suppose n = 43 and​​​​​​​ p = 0.27. (For each answer, enter a number. Use 2 decimal places.)
n·p =
n·q =

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

_____, _____ be approximated by a normal random variable because _____ _____.

first blank

Yes

No

second blank

can

cannot

third blank

both n·p and n·q exceed

n·q exceeds

n·p does not exceed

n·p exceeds

n·q does not exceed

n·p and n·q do not exceed

fourth blank (Enter an exact number.)

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

μ =

σ =

Answer #1

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