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The owner of a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number for analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x oranges. Determine the variance of the number of oranges purchased by a customer.
x 1 2 3 4 5 6 7 8 9 10
P(x) 0.05 0.19 0.20 0.25 0.12 0.10 0 0.08 0 0.01
a. What is the mean the number of oranges purchased?
b. What is the standard deviation for the number of oranges purchased?
26% of college students say they use credit card because of the rewards program . You randomly select 10 college students and ask each to name the reason he or she uses credit cards.
The following table shows SAT scores (on the old SAT with only two sections) for a sample of students. Give the equation of the least squares regression equation.
In a random sample of pool code violations, the type of pool and the violation class were recorded.16 The resulting two-way frequency table is shown.
A portfolio's value increases by 18% during a financial boom and by 9% during normal times. It decreases by 12% during a recession. What is the expected return on this portfolio if each scenario is equally likely?
Compare and contrast the categories of costs borne by users of a new government-funded untolled highway and those borne by users (customers) of a new water treatment plant that is funded by bills paid by the customers.
The perimeter of a rectangular painting is 344cm; if the width of the painting is 73 cm, what is the length?
(a) Analyze the data and draw contour diagrams for yield and filtration time.
Simple Linear Regression
You are to take a multiple-choice exam consisting of 100 questions with five possible responses to each. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. Let r.v...
(Simulated Annealing) In the context of simulated annealing, assume that T is kept constant and let pxy be the probability that when the current solution is x, the next solution sampled is y.
Is there evidence of a difference in the mean query answer time between the two call centre teams? (Use a=0.05). Time to answer queries.
Calculate and interpret a 95% confidence interval for the population proportion p that would report texting with their friends every day.
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