Showing 241 to 250 of 581 Questions
  • Given that the random variable X has mean μ = 120 and SD σ = 15, find the mean and SD of each of these random variables that are defined from X: (a) X / 3 (b) 2X – 100 (c) X + 2 (d) X – X

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  • Given that the random variable Y has mean μ = 25 and SD σ = 10, fnd the mean and SD of each of these random variables that are defined from Y: (a) 2Y + 20 (b) 3Y (c) Y / 2 + 0.5 (d) 6 – Y

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  • Given the joint density function find P (l < Y < 3 | X = 1).

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    156
  • Given the random variable X with probability distribution find the probability distribution of Y = 8X3.

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    124
  • Grade point averages of students on a large campus follow a normal distribution with a mean of 2.6 and a standard deviation of 0.5. a. One student is chosen at random from this campus. What is the probability that this student has a grade point average higher than 3.0? b. One student is chosen at random from this campus. What is the proba

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  • Hits to a high-volume Web site are assumed to follow Poisson distribution with a mean of 10,000 per day. Approximate each of the following:(a) The probability of more than 20,000 hits in a day(b) The probability of less than 9900 hits in a day(c) The value such that the probability that the number of hits in a day exceed the value is 0.01

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    536
  • Homes in a community served by a utility company annually use an expected 12,000 kilowatt-hours (kWh) of electricity. The same utility supplies natural gas to these homes, with an annual expected use of 85 thousand cubic feet (85 MCF). The homes vary in size and patterns of use, and so the use of utilities varies as well. The standard dev

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  • I am considering two alternative investments. In both cases I am unsure about the percentage return but believe that my uncertainty can be represented by normal distributions with the means and standard deviations shown in the accompanying table. I want to make the investment that is more likely to produce a return of at least 10%. Which

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  • If an investor decides on the all-Microsoft portfolio (in the text example), does it make sense to use the Sharpe ratio to decide whether to invest $2,000 or $4,000?

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  • If both A' and Y, distributed independently, follow exponential distributions with mean parameter 1. Find the distributions of(a) U = X + Y, and(b) V = X/(X + Y).

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    122
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