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An investor has invested in nine different investments.The dollar returns on the different Investments are probabilistically independent, and each return follows a normal distribution with mean $50,000 and standard deviation $10,000.
a. There is a 1% chance that the total return on the nine investments is less than what value?
b. What is the probability that the investor's total return is between $400,000 and $520,000?
Assuming independence of outcomes, find the mean and standard deviation of the consultant's total profit from these three projects.
a study of fast-food nutrition compared the caloric content of french fries. thirty-eight randomly selected servings of
the sugar content of the syrup in canned peaches is normally distributed. a random sample of n 10 cans yields a sample
A DVD rental store wants to know what proportions of its customers are under age 21. A simple random sample of 500 customers was taken, and 375 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.6..
suppose 40 of the vehicles passing through a toll booth are trucks and the rest are cars.a truck pays a 5 toll whereas
P (Z ≥ 1.75) where Z is a standard normal distribution with 10 degrees of freedom. Compare this result to the results obtained in parts (a) and (b). How do you explain the difference in these probabilities?
How often does your major require the use of a computer?
Show that, if N and X, X1, X2, . . . are independent random variables, N ∈ Ge(α), and X ∈ Be(β), then Y = X1 + X2 + · · · + XN has a geometric distribution, and determine the parameter.
The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males.
What are the main difference between the frequency distribution of continuous data and discrete data and how would you present a continuous data as though discrete?
What is the probability that the mean price for a sample of 30 service stations is within $.03 of the population mean (to 4 decimals)?
Is there a meaningful relationship between grades and SAT scores? If a student scores a 450 on the SAT what will her GPA be?
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