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Suppose that the probability distribution of a random variable x can be described by the formulaP(x) = x/15
For each of the values x = 1, 2, 3, 4, and 5. For examples, then, p(x=2) = p(2) = 2/15
a. Write out the probability distribution of x.b. Show that the probability distribution of x satisfies the properties of a discrete probability distribution.c. Calculate the mean of x.d. Calculate the variance and standard deviation.
In each case, sketch the two specified normal curves on the same set of axes: A normal curve with = 20 and o = 3, a normal curve with = 20 and o = 6.
Assume that the mean SAT score in Mathematics for 11th graders across the nation is 500, and that the standard deviation is 100 points. Find the probability that the mean SAT score for a randomly selected group of 150 11th graders is between 475 a..
Test the claim that the actual amount of coke exceeds 12 ounces. (Note: You can use the value of $s$ as the value of $sigma$ for your hypothesis test).
About 72% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the expected number of persons, in the sample, who buy their dog holiday presents.
Find the probability that you will (a.) make your first sale on your fifth call, (b.) make your sale on the first, second or third call, and (c.)do not make a sale on your first three calls.
A recent Survey indicated that 18% of America adults were in favor of cloning human embryos. What is the probability that in a group of 30 adult Americans
Convert the height of the stack of pennies into meters. Calculate how many pennies would be needed to make a tower 1 billion meters tall. Give answer in both standard calculation and in scientific notation.
What are examples of the populations parameters we are trying to estimate for sample data?
State the decision rule. Compute the value of the test statistic. What is your decision regarding the null hypothesis?
If she actually has 55% of the total vote, what is the probability of getting a sample proportion this small or smaller? Do you think she actually has 55% of the vote? Why or why not?
How might you go about creating a stronger regression model? For example, you have a multiple regression model with an adjusted R-Square of 0.49, which would explain 49% of the variance of the dependent measure
A currency trader observes that in the spot exchange market, 1 U.S. dollar can be exchanged for 9 Mexican pesos or for 111.23 Japanese yen. What is the cross-exchange rate between the yen and the peso
The National Turkey Association wants to experiment with three different feed mixtures for very young turkeys. Since no experience exists regarding the three mixtures, no assumptions can be made about the distribution of weights.
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