1. Use the normal distribution to approximate the desired probability. Find the probability that in 200 tosses of a fair die, we will obtain at least 30 fives.

Group of answer choices

0.8871

0.7673

0.5871

0.6229

2. Use the normal distribution to approximate the desired probability. A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probability seem to verify her claim?

Group of answer choices

0.4418, no

0.0582, no

0.0582, yes

0.4418, yes

3. Solve the problem. Round to the nearest tenth unless indicated otherwise. The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.3 and a standard deviation of 40.4. All units are in mg/100 mL. Find the two levels that separate the top 9% and the bottom 9%.

Group of answer choices

108.0 mg/100mL and 248.6 mg/100mL

165.4 mg/100mL and 191.23 mg/100mL

161.7 mg/100mL and 194.9 mg/100mL

124.2 mg/100mL and 232.4 mg/100mL

4. For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. n = 22 and p = 0.6

Group of answer choices

Normal approximation is suitable.

Normal approximation is not suitable.

5. Find the indicated value. z_0.02

Group of answer choices

2.72

1.78

1.99

2.05

6. Solve the problem. The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 9. If 9 fish are randomly selected, what is the probability that the mean weight will be between 15.6 and 21.6 lb?

Group of answer choices

0.0968

0.4032

0.3270

0.6730

7. Find the indicated probability. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275.

Group of answer choices

0.9332

0.4332

0.5

0.0668

8. Find the indicated probability. The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?

Group of answer choices

0.9834

0.0166

0.0179

0.4834

9. Solve the problem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 105 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 36 randomly picked years will be less than 107.8 inches?

Group of answer choices

0.5808

0.4192

0.0808

0.9192