The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years.

The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years. 

If 16 professors are chosen at random for a committee, find the probability that the average age of those professors is less than 42.0 years.

Question 35 options:

0.3058

0.0314

0.9772

0.0228

0.6942

Find the indicated probability.

The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years. 

If 16 professors are chosen at random for a committee, find the probability that the average age of those professors is greater than 42.0 years.

Question 36 options:

0.6942

0.3058

0.9772

0.0314

0.0228

Identify the data value corresponding to the indicated percentile.

The amount of sleep an adult gets per day is normally distributed with a mean of 7 hours and a standard deviation of 1.5 hours. 

Five-percent of adults sleep more than how many hours per day?

Question 33 options:

9 hours

8.5 hours

10 hours

9.5 hours

Identify the score corresponding to the indicated percentile.

The length of human pregnancies (with no complications) from conception to birth varies according to a normal distribution with mean 260 days and standard deviation 10.

Only ten-percent of pregnancy lengths are less than what value?

Question 32 options:

273 days

259 days

247 days

261 days

250 days

Identify the z-score corresponding to the indicated percentile.

For the standard normal curve, identify the z-score that corresponds to the 33rdpercentile.

Question 31 options:

0.6293

-0.44

0.3707

-0.67

Recent statistics show that 62% of people wash their hands after using the restroom.  

If you shake hands with three random people, what is the probability that all of them washed their hands after previously using the restroom?

Question 22 options:

0.2383

0.0549

0.9451

0.7617

0.7254

At a certain college 40% of the students are male, and of those, 15% smoke cigarettes. 

What is the percentage of the student body who are male smokers?

Question 24 options:

40%

25%

2.7%

6%

15%

In general, after a group makes a reservation at a restaurant, they do not show up 20% of the time.

If a restaurant has 8 reservations for the evening, what is the probability thatexactly two do not show up?

Question 25 options:

0.2031

0.2936

0.7064

0.7969

0.4967

In general, the probability that a blood donor has Type A blood is 0.40.

Consider 8 randomly chosen blood donors, what is the probability that more than half of them have Type A blood?

Question 26 options:

0.0256

0.2322

0.1737

1.6

0.8263

Find the area of the indicated region under the standard normal curve.

Question 27 options:

0.5724

0.9772

0.6687

0.3085

0.6206

Find the indicated probability.

An insurance company has determined that the cost of a certain medical procedure varies according to a normal distribution with a mean of $800 and a standard deviation of $40. 

If a new insurance claim comes in for this particular medical procedure, what is the probability the claim will be greater than $900?

Question 29 options:

0.3085

0.0062

0.5987

0.4938

0.9938

Empirical evidence shows that the "normal" resting adult body temperature is normally distributed with a mean of 98.2 degrees Fahrenheit and a standard deviation of 0.7 degrees Fahrenheit.

What is the probability that a randomly selected adult has a "normal" resting body temperature between 98 and 99 degrees Fahrenheit?

Question 30 options:

0.3859

0.8729

0.4870

0.4218

0.3463

These were problems I got wrong I would like if a step by step can be shown how to get the correct answer