ComputeP(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. Ifso, approximateP(X) using the normal distribution and compare the result with the exact probability.

nequals

=53

53, pequals

=0.4

0.4, and Xequals

=29

29

For nequals

=53

53, pequals

=0.4

0.4, and Xequals

=29

29, findP(X).

P(X)equals

=

nothing

(Round to four decimal places asneeded.)

Can the normal distribution be used to approximate thisprobability?

A.

No, the normal distribution cannot be used because np left parenthesis 1 minus p right parenthesis greater than or equals 10

np(1p)10.

B.

Yes, the normal distribution can be used because np left parenthesis 1 minus p right parenthesis less than or equals 10

np(1p)10.

C.

No, the normal distribution cannot be used because np left parenthesis 1 minus p right parenthesis less than 10

np(1p)

D.

Yes, the normal distribution can be used because np left parenthesis 1 minus p right parenthesis greater than or equals 10

np(1p)10.

ApproximateP(X) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice.

A.

P(X)equals

=

nothing

(Round to four decimal places asneeded.)

B.

The normal distribution cannot be used.

By how much do the exact and approximated probabilitiesdiffer? Select the correct choice below and fill in any answer boxes in your choice.

Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=53, p =0.4, and X = 29 For n = 53, p =0.4, and X = 29, find P(X). P(X) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. No, the normal distribution cannot be used because np(1 - p) > 10. O B. Yes, the normal distribution can be used because np(1 - p) $ 10. O C. No, the normal distribution cannot be used because np(1 - p) 10. Approximate P(X) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. O A. P(X)= (Round to four decimal places as needed.) O B. The normal distribution cannot be used