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A salesperson at the retail outlet has observed a buying pattern over many graduations. All of the last 1000 sales were made by either parents/ friends. Of the 400 sales made to partners/ friends, 180 were sales of teddy bears and 150 were sales of koalas. Of the 600 sales made to parents, 400 were sales of bunches of flowers. A total of 240 teddy bears were sold.
a. Assuming we can use this information to predict future sales, what is the probability that if a parent makes a graduation gift purchase at this outlet it will be koala (0.23333...)
b. If a new graduate is given a bunch of flowers from this outlet, what is the probability that the flowers were purchased by their partner or friend? (0.1489)
Based on its 1999 survey, Student Monitor reports that 20% of U.S. college students used the Internet for job hunting during the month preceding the survey.
a) Find the marginal density of Y. b) Find E(X) HINT: What is E (X|Y=y) ?
What is the probability there will be between 10 and 14 calls inclusive arriving at the company in the next 15 minutes?
A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.
A study of postoperative pain relief is conducted to determine if drug A has a significantly longer duration of pain relief than drug B.
Find the 95% confidence interval for the true population mean. Identify the point estimate for mean and margin of error.
Construct a 99% confidence interval on the difference of the average ages for the viewers of the two TV programs. How can you interpret this interval?
A university found that 20 percent of its students withdraw without completing the introductory statistics course. 20 students registered for a section of the course this term.
A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Find the probability that the surgery is successful for at least four patients.
For a sample of 11 independent observations from a normal distribution of unknown μ and unknown variance σ 2 , the sample mean is 74.6 and sample variance is 2.2. What is the lower point of the 90% confidence interval for μ?
The number of degrees of freedom for the appropriate chi-square distribution in a test of independence is:
Frequent checks of unfilled orders at end of day reveal that distribution of unfilled orders follows Poisson distribution with mean of two orders. Sketch the histogram representing Poisson probability distribution of unfilled orders.
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