Showing 241 to 250 of 361 Questions
  • Suppose that X has a lognormal distribution with parameters θ = 5 and w2 = 9. Determine the following: (a) P(X < 13, 300) (b) The value for x such that (c) The mean and variance of X

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    179
  • Suppose that X has a Weibull distribution β = 0.2 and δ = 100 hours. Determine that following: (a) P(X < 10,000) (b) P(X > 5000)

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    170
  • Suppose that X is a binomial random variable with n = 200 and p = 0.4.(a) Approximate the probability that X is less than or equal to 70.(b) Approximate the probability that X is greater than 70 and less than 90.

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  • Suppose that X is a binomial random variable with n = 100 and p = 0.1.(a) Compute the exact probability that X is less than 4.(b) Approximate the probability that X is less than 4 and compare to the result in part (a).(c) Approximate the probability that 8 < X < 12.

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    137
  • Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of two counts per minute. (a) What is the probability that there are no counts in a 30- second interval?(b) What is the probability that the first count occurs in less than 10 seconds?(c) What is the probability that the first count occurs between 1 a

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    463
  • Suppose the cumulative distribution function of the random variable X is Determine the following:(a) P(X < 2.8)(b) P(X > 1.5)(c) P(X M – 2)(d) P(X > 6)

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  • Suppose the cumulative distribution function of the random variable X isDetermine the following:(a) P(X < 1.8)(b) P(X > - 1.5)(c) P(X < - 2)(d) P(- 1 < X < 1)

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    117
  • Suppose the probability density function of the length of computer cables is f (x) = 0.1 from 1200 to 1210 millimeters.(a) Determine the mean and standard deviation of the cable length.(b) If the length specifications are 1195 < x < 1205 millimeters, what proportion of cables are within specifications?

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  • Suppose the random variable x is best described by a normal distribution with μ = 25 and σ = 5. Find the z -score that corresponds to each of the following x values: a. x = 25 b. x = 30 c. x = 37.5 d. x = 10 e. x = 50 f. x = 32

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  • Suppose the time it takes a data collection operator to fill out an electronic form for a database is uniformly between 1.5 and 2.2 minutes.(a) What is the mean and variance of the time it takes an operator to fill out the form?(b) What is the probability that it will take less than two minutes to fill out the form?(c) Determine the cumul

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    283
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