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1. The vehicle dispatching decisions of an airport-based taxi service were investigated. In modeling the system, the authors assumed travel times of successive trips to be independent exponential variables. Assume ?= 0.05.
a. What is the mean trip time for the taxi service?
b. What is the probability that a particular trip will take more than 30 minutes?
c. Two taxis have just been dispatched. What is the probability that both will be gone for more than 30 minutes? That at least one of the taxis will return within 30 minutes?
2. The National Collegiate Athletic Association (NCAA) requires Division I athletes to score at least 820 on the combined Mathematics and Verbal parts of the SAT to compete in their first college year. (Higher scores are required for students with poor high school grades.) In 2000, the scores of the 1,260,000 students taking the SATs were approximately Normal with mean 1019 and standard deviation 209. What percent of all students had scores less than 820?
The theoretical probability of undesirable side effects resulting from taking Grebex is 2 in 19. If 570 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
Determine critical value for boundary of the rejection region (i.e., Zα).
a. Formulate the null and alternative hypotheses. b. Which statistical test would you use? Why?
Compute the 95% confidence interval for the proportion of adults who are planning to buy a new car in the next 6 months.
10 cartons are taken at random from an automatic filling machine.The mean net weight of the carton is11.8 kg and standard deviation of 0.15kg. Does the sample mean differ significantly from the intended weight of 12kgs?
What is (1 – ß), the probability of rejecting the null hypothesis of part a, when in fact the true yield of the process is 0.925?
Draw the normal curve model for auto fuel economy, following the 68-95-99.7 rule. Clearly label the X-axis with the mpg for the appropriate points.
a garage door opener has six toggle switches each with three settings up center and down. if a thief knows the type of
find the mean variance and standard diviation of the binomial distribution with the given values of n and pn- 121 p
A management trainee is selected at random. What is the probability that the person selected is a female who did not attend college?
A standard deck of 52 cards is shuffled thoroughly and n cards are turned up. What is the probability that a face card turns up? For what value of n is the probability about .5?
question 1 according to the u.s. bureau of labor statistics 75 of the women 25 through 49 of age participate in the
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