The useful life of electrical circuits produced by your company has a uniform distribution defined by the probability density function:
F(x) { 1/10
{ 0 for x values between 1000 and 1100 hours everywhere else
where x = values for the random variable “useful circuit life in hours”
a. Determine the probability that useful circuit life will be between 1060 and 1085 hours.
b. Determine the probability that useful circuit life will be at least 1020 hours.
c. Determine the mean (expected value), the variance, and the standard deviation of the “useful circuit life” random variable. d. Show that the total area associated with the probability density function here is 1.0. That is, demonstrate that P(1000 ≤ x ≤ 1100) = 1.0. Explain the significance of this property.
The useful life of electrical circuits produced by your company has a uniform distribution defined by...
Random variable x has a uniform distribution defined by the probability density function below. Determine the probability that x has a value of at least 220. f(x) = 1/100 for values of x between 200 and 300, and 0 everywhere else a)0.65 b)0.80 c)0.75 d)0.60
1) Random variable x has a uniform distribution defined by the probability density function below. Determine the probability that x has a value of at least 220. f(x) = 1/100 for values of x between 200 and 300, and 0 everywhere else A) 0.65 B) 0.80 C) 0.75 D) 0.60 2) The method of sampling that ensures that every subgroup of interest in a particular study is represented in the sample is called: A) systematic random sampling B)...
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#12 only circuit life" random variable d. Show that the total area associated with the prob- ability density function here is 1.0. That is, demon- strate that P(1000 s xs 1100) 1.0. Explain the significance of this property. XERCISES 12. The Oregon Fisheries Commission monitors the size of the salmon that climb the fish ladder at Bonneville Dam on the Columbia River every year. The Commission described the length of the salmon observed during the past year with a normal...
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