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A lottery offers one $1000 prize, two $500 prizes, and five $100 prizes. One thousand tickets are sold at $3.50 each. What was the expected value of a ticket?
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50% of the cars in a dealer lot are red, 20% are black, and 16% are white. The remainder are some other unspecified color. Salespersons randomly shows three cars to three different customers. What is the probability the ...
1. Suppose that in the game of AFL the mean total number of points per match is 185 with a standard deviation of 33. Suppose that a season involves 202 matches. If the total points are normally distributed then answer th ...
Suppose metal shafts produced have a standard deviation of 2.8 and a mean diameter of 210 inches. If 84 shafts are sampled at random, what is the probability that the mean diameter of the sample shafts would be less than ...
Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, calculate P(a μ =15 s = 2 a =16 b =20 Given a normally distributed random variable, X, with mean (μ) and stand ...
A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.99mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire wi ...
In the following five scenarios, H0, α, the obtained probability (p-value), and the true status of H0 are given. Assume that our test statistic follows a standard normal distribution. Do the following: (a) State whether ...
If the return on stock A in year 1 was 11 %, in year 2 was -10 %, in year 3 was -4 % and in year 4 was 2 %, what was the standard deviation of returns for stock A over this four year period? (Round your answer to 1 decim ...
Given a trend line of y = 174x + 88, where the variable x is the independent variable and the variable y is the dependent variable, what is the slope of this trend line?
The following frequency table summarizes the distances in miles of 100 patients from a regional hospital. Distance Frequency 0-2 30 2-4 35 4-6 20 6-8 10 8-10 5 Calculate the sample variance and standard deviation for thi ...
A manufacturer obtains? clock-radios from three different? subcontractors: 10?% from? A, 30?% from? B, and 60?% from C. The defective rates for these subcontractors are 3?%, 2 %, and 5?% respectively. If a defective? clo ...
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