Probability Distribution - Page 4
Questions
- What is the probability that the deal of a five-card hand provides exactly one ace?
- What is the probability that the deal of a five-card hand provides no aces?
- What is the probability that the deal of a five-card hand provides at least one ace?
- What is the difference between discrete probability distribution and continuous probability distribution?
- Consider the following discrete probability distribution. What is the probability that #x# equals 7?
- Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.42 year. What is the probability that more than five loads occur during a 3 year period?
- The number of accidents is .4 accidents / day. What is the probability that the time from now to the next accident will be more than 3 days?What is the probability that the the time from now to the 3rd accident will be more than 5 days?
- A fair coin is tossed 60 times. Using the normal approximation to the binomial distribution, what is the probability that a head will show between 30 and 36 times inclusive?
- If the probability density function of #X# is #f(x) = (1+ax) /2, -1 le x le 1, -1 le a le 1# then the expectation of #X# is? (a) #6/a# (b) #a /3# (c) #a /2# (d) #3/a#
- How are random variables generally identified (i.e., what notation is used to identify a random variable)?
- What does the term "expected value" mean?
- What notation is used to designate the expected value of a random variable?
- You roll three dice, and you define the random variable #X# as the number of heads obtained. What are all possible values of the random variable #X#?
- You have studied the number of people waiting in line at your bank on Friday afternoon at 3 pm for many years, and have created a probability distribution for 0, 1, 2, 3, or 4 people in line. The probabilities are 0.1, 0.3, 0.4, 0.1, and 0.1, respectively. What is the probability that at least 3 people are in line at 3 pm on Friday afternoon?
- You have studied the number of people waiting in line at your bank on Friday afternoon at 3 pm for many years, and have created a probability distribution for 0, 1, 2, 3, or 4 people in line. The probabilities are 0.1, 0.3, 0.4, 0.1, and 0.1, respectively. What is the expected number of people (mean) waiting in line at 3 pm on Friday afternoon?
- How is the law of large numbers related to probability?
- What is an example of the law of large numbers?
- How do I summarize the possible outcomes of a random variable and their associated probabilities?
- Is the fuel efficiency (in miles per gallon) of an automobile a discrete or continuous variable?
- Is the distance that a person throws a baseball a discrete or continuous variable?