Probability/Statistics 10 Question Multiple Choice
| Question 1 of 10 | 10.0 Points |
What does the uniform and normal probability distribution have in common?
| A.The uniform distribution uses discrete data; the normal distribution is based on continuous data. | |
| B.The mean, median and mode are equal. | |
| C.Both have the same standard deviation. | |
| D.About 68% of the observations are within one standard deviation of the mean | |
| Question 2 of 10 | 10.0 Points |
The amount of time you have to wait at a particular stoplight is uniformly distributed between zero and two minutes. Eighty percent of the time, the light will change before you have to wait how long?
| A.90 seconds | |
| B.96 seconds | |
| C.24 seconds | |
| D.30 seconds | |
| Question 3 of 10 | 10.0 Points |
Which of the variables collected for only three to five years old German Shepherds is most likely to be described by a Normal distribution?
| A.Age | |
| B.Veterinary cost | |
| C.Weight | |
| D.Breed | |
| E.Number of days housed | |
| Question 4 of 10 | 10.0 Points |
During a professor’s office hours, students arrive randomly, on average, every ten minutes. Suppose that a student has just left. What is the probability that the professor has more than 20 minutes before the next student shows up?
| A.0.8647 | |
| B.0.8187 | |
| C.0.1353 | |
| D.0.1813 | |
| Question 5 of 10 | 10.0 Points |
If X has an exponential distribution, which of the following statements is correct?
| A.All of the given statements are correct. | |
| B.The exponential distribution is governed by two parameters that determine its shape and location. | |
| C.The exponential distribution has the property that its mean equals its variance. | |
| D.The exponential distribution is sometimes called the waiting-time distribution, because it is used to describe the length of time between occurrences of random events. | |
| E.The cumulative density function for an exponential random variable x has a bell-shaped graph |
If X has a normal distribution with mean μ and standard deviation σ, and Z is the standard normal random variable whose cumulative distribution function is P(Z ≤ z) = Φ(z), then which of the following statements is NOT correct?
| A.All of the given statements are not correct | |
| B.P(a ≤ X ≤ b) = Φ[(b – μ)/σ] – Φ[(a – μ)/σ] | |
| C.P( X ≥ b) = 1 – Φ[(b – μ)/σ] | |
| D.P( X ≤ a) = 1 – Φ[(a – μ)/σ] | |
| E.Z = (X – μ)/σ | |
| Question 7 of 10 | 10.0 Points |
Among the most famous of all meteor showers are the Perseids, which occur each year in early August. In some areas the frequency of visible Perseids can be as high as 40 per hour. What is the probability that an observer who has just seen a meteor will have to wait at least 5 minutes before seen another.
| A.0.200 | |
| B.0.083 | |
| C.0.036 | |
| D.0.667 | |
| Question 8 of 10 | 10.0 Points |
In a large lecture course, the scores on the final examination followed the normal distribution. The average score was 60 points and one fourth of the class scored between 50 and 70 points. The standard deviation of the scores was
| A.larger than 10 points | |
| B.10 points | |
| C.cannot be determined with the information given | |
| D.smaller than 10 points | |
| Question 9 of 10 | 10.0 Points |
A recent study of alcohol drinking practices among college students found that the average number of drinks per week consumed was 3.5 with a standard deviation of 2.0. Suppose you examined the number of drinks per week consumed by a large sample of students from the population. Which of the following statements is true? (Assume the distribution of number of drinks per week is unimodal).
| A.The normal model would be a good description of these data. | |
| B.The distribution is right skewed. | |
| C.About 2.5% of students in our sample would drink more that 7.5 drinks per week. | |
| D.The distribution is left skewed. | |
| Question 10 of 10 | 10.0 Points |
Arrivals of cars at a gas station follow a Poisson distribution. During a given 5-minute period, one car arrived at the station. Find the probability that it arrived during the last 30 seconds of the 5-minute period.
| A.0.25 | |
| B.0.85 | |
| C.0.15 | |
| D.0.10 |
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