1.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.

n=60, p=0.7, and X=53

For n=60, p=0.7, and X=53, use the binomial probability formula to findP(X).

nothing

(Round to four decimal places asneeded.)

2.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.

n=60, p=0.15, and X=20

P(X)=

nothing

(Round to four decimal places asneeded.)

3.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.

n=73, p=0.66, and x=46

Click here to view the standard normal distribution table (page 1).LOADING...

Click here to view the standard normal distribution table (page 2).LOADING...

For n=73, p=0.66, and x=46, findP(x) using the binomial probability distribution.

P(x)=

nothing

(Round to four decimal places asneeded.)

4.A certain flight arrives on time 83 percent of the time. Suppose 190 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that

(a) exactly 172 flights are on time.

(b) at least 172 flights are on time.

(c) fewer than 150 flights are on time.

(d) between 150 and 159, inclusive are on time.

(a) P(172)=

nothing

(Round to four decimal places asneeded.)

5.In studies for amedication, 15 percent of patients gained weight as a side effect. Suppose 690 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that

(a) exactly 104 patients will gain weight as a side effect.

(b) no more than 104 patients will gain weight as a side effect.

(c) at least 118 patients will gain weight as a side effect. What does this resultsuggest?

(a)P(104)=

nothing

(Round to four decimal places asneeded)