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Category: Calculus and Above
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Experience:  B.S. in Civil Engineering
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# 1. If Z is a standard normal variable, what is the probability

1. If Z is a standard normal variable, what is the probability that Z lies between -0.55 and 0.55? (Points : 7)
0.9000
0.4176
-0.9000
-0.4176

2. If Z is a standard normal variable, what is the probability that Z lies between 0.7 and 1.98? (Points : 7)
-0.2181
0.2175
0.2181
1.7341

3. If Z is a standard normal variable, what is P(Z > 0.59)? (Points : 7)
0.2190
0.2776
0.7224
0.2224

4. Assume that X has a normal distribution with mean = 60.0 and standard deviation = 4.0. What is the probability that X is less than 53.0? (Points : 7)
0.9599
0.5589
0.0401
0.0802

5. The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz? (Points : 7)
0.0987
0.4013
0.5987
0.3821

6. The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches? (Points : 7)
2.28%
37.45%
47.72%
97.72%

7. 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. What is the score which separates the lower 60% from the top 40%? (Points : 7)
207.8
212.5
187.5
211.3

8. Assume that the distribution of all the temperature readings is a standard normal distribution with the mean reading of 0 degree Celsius and the standard deviation of 1.00 degree Celsius. A thermometer is randomly selected and tested. What is the temperature reading corresponding to the third quartile? (Points : 7)
0.67 degrees
0.53 degrees
0.82 degrees
-1.3 degrees

9. In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. What is the consumption level separating the bottom 45% from the top 55%? (Points : 7)
1021.7
1148.1
1087.8
1078.3

10. In a game, you have a 1/29 probability of winning \$106 and a 28/29 probability of losing \$9. What is your expected value? (Points : 7)
\$3.66
-\$5.03
-\$8.69
\$12.34

11. The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the mean of the given probability distribution.
(Points : 6)
4.21
0.17
3.50
4.08

12. Determine whether the given procedure results in a binomial distribution. If not, state the reason why: Rolling a single die 26 times, keeping track of the "fives" rolled. (Points : 6)
Not binomial: the trials are not independent.
Not binomial: there are too many trials.
Not binomial: there are more than two categories for each trial.
Procedure results in a binomial distribution.

13. Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Find the probability of x=2 successes given the probability p=0.70 of success on a single trial. (Points : 6)
0.132
0.464
0.700
0.198

14. Assume that adults have IQ scores that are normally distributed with a mean of 102 and standard deviation of 12. Find the IQ score that separates the bottom 25% from the top 75%. (Points : 6)
110
94
99
105

15. Heights of adult men are normally distributed with a mean of 69 inches and standard deviation of 2.8 inches. If an adult man is randomly selected, what is the probability that he is taller than 64.8 inches? (Points : 6)
0.8664
0.1336
0.9332
0.0668
Hi,

Thank you for using JustAnswer, and thank you for reqeusting me.

I'll get started on these problems immediately. Do you need work shown, or do you just need the answers?

Thanks,

Ryan
Customer: replied 4 years ago.

Hi,

Ok, no problem. I'll have them posted for you as soon as I can.

Thanks,

Ryan
Customer: replied 4 years ago.

thanks you

if you can complete them in 45 mins I can pay another \$25.00

Hi,

I'll certainly try.

Thanks,

Ryan
Customer: replied 4 years ago.

thank you

Hi,

Can you please post the distribution for problem #11?

Thanks,

Ryan
Customer: replied 4 years ago.

Hi,

Thanks.

Here are the solutions:

1. B. 0.4176

2. C. 0.2181

3. B. 0.2776

4. C. 0.0401

5. B. 0.4013

6. A. 2.28%

7. C. 187.5

8. A. 0.67 degrees

9. A. 1021.7

10. B. -\$5.03

11. A. 4.21

12. D. Procedure results in a binomial distribution

13. A. 0.132

14. B. 94

15. C. 0.9332