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A function sometimes associated with a continuous nonnegative random variable is the failure rate (or hazard rate) function which is defined as:
r (t) = f(t) / (1 - F(t))
For a density function f (t) with corresponding cdf F (t). This function has a number of different uses, particularly in survival analysis Derive r (t) for the case where T is an exponential distribution with parameter Beta.
Assume you want to repeat the FDA experiment to achieve an estimation of the mean μ of the amount of caffeine content of a cup of coffee.
A random sample of 100 students at Southern University was collected. The mean age was found to be 24.2 years, with a standard deviation of 3.4 years.
Determine the highest number of miles (to nearest whole number) that motorist could drive in month and still qualify for discount?
Find out the constant using probability density function also cumulative distribution function. Assume X be a continuous random variable with probability density function.
Suppose the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have two boys and one girl.
The 95% prediction interval for a new patient with a 2-day cholesterol level of 220 is
Compute the variance and standard deviation of the number that will arrive within two days.
Prepare tables of descriptive statistics (mean, median, Quartiles, IQR, and Standard Deviation) by firm for net profit margin (PROFITS). Discuss.
For the data shown below, prepare a x-bar chart. Note that the sample size is three. Record the values for the UCL, center line, and LCL. In addition, note any points that are out of control.
Would it be reasonable to conclude that the population distribution is Poisson with a mean of 2.0?
Is there evidence that population mean amount is different form 8.17 ounces? (Use a 0.05 level of significance.) with sample standard deviation of 0.051 ounce.
Which component of a time series is most likely to occur? Which component has a pattern that must be complete in a single year and repeat from year to year?
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