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1. Mrs. Jones predicts that if it rains tomorrow it is bound to rain the day after tomorrow. She also thinks that the chance of rain tomorrow is 1/2 and that the chance of rain the day after tomorrow is 1/3. Are these subjective probabilities consistent with the axioms and theorems of probability?
2. In which of the following are events A and B mutually exclusive?
(a) Roll two dice. A is the event of a sum of 9; B is the event of a double (i.e., the same value on both dice).
(b) Draw 13 cards from a deck of 52 cards. A is the event of drawing at least one club; B is the event of drawing no aces.
(c) Toss a coin twice. A is the event of a head on the first toss; B is the event of a head on the second toss.
In the basic economic order quantity (EOQ) model, if monthly demand is a constant 430 units, the order quantity is 144 (12 dozen), and the firm operates during fifty five-day weeks a year, the cycle time will be approximately?
Using the bisection method, find the positive root of 2x(1 + x^2)^-1 = arctan x. Using this root as x0; apply Newton's method to the function f(x) = arctan x: Interpret the results you obtain.
Otherwise you lose $1. If you make this wager very many times, what will be the mean outcome?
Find the line of best fit and graph it on the scatterplot. State the equation of the line - State the slope of the line of best fit. Carefully interpret the meaning of the slope in a sentence or two
A fair coin is tossed four times and X is number of heads on first three tosses and Y on last three. What is the joint probability mass function of x and y? What is the marginal pmf? Are X and Y independent?
Give a brief definition and an example of the following: a. Descriptive Statistics b. Inferential Statistics
Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men?
a truck repair facility has room to work on 5 trucks at a time. the company has 50 trucks out in the field eah day. the
a researcher has developed a new drug designed to reduce blood pressure. in an experiment 21 subjects were assigned
spencer motors sells automobiles and trucks. the firm makes a 280 profit for each automobile it sells and a 375 profit
What is the population from which your sample has been taken? Description of data taken from other sources. Preliminary analysis using histograms, box plots, scatter plots, etc. and investigation of outliers. Do you keep or discard identified outl..
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