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Ryan, Engineer

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

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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

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