Probability Distribution

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Solved (Free): Let $Y_1, Y2, \cdots, Y_n$ be independent random variables such that each $Y_i$ has a gamma distribution with parameters

Let $Y_1, Y2, \cdots, Y_n$ be independent random variables such that each $Y_i$ has a gamma distribution with parameters $\alpha_i$…

Solved: The time between release from prison and the commission of another crime is uniformly distributed between 0 and 5 years for a high-risk group

The time between release from prison and the commission of another crime is uniformly distributed between 0 and 5 years…

Solved: The article “Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants”

The article "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants" (Water Research : 1169-1174) suggests the uniform distribution on…

Solved: The hardness of a piece of ceramic is proportional to the firing time. Assume that a rating system has been devised to rate the hardness of a ceramic piece

The hardness of a piece of ceramic is proportional to the firing time. Assume that a rating system has been…

Solved: Suppose that a class in elementary statistics was allocated 15 minutes to complete a quiz. It can be assumed that the time X it takes to complete

Suppose that a class in elementary statistics was allocated 15 minutes to complete a quiz. It can be assumed that…

Solved:The lifetime $X$ of a device is an exponential random variable with mean = $1/R$

The lifetime $X$ of a device is an exponential random variable with mean = $1/R$. Suppose that due to irregularities…

Solved: The useful life of an electrical component is exponentially distributed with a mean of 2,500 hours

The useful life of an electrical component is exponentially distributed with a mean of 2,500 hours. a. What is the…

Solved (Free): A western city has 18 police officers eligible for promotion. Eleven of the 18 are Hispanic

A western city has 18 police officers eligible for promotion. Eleven of the 18 are Hispanic. Suppose only five of…

Solved:The first assignment in a statistical computing class involves running a short program. If past experience indicates

The first assignment in a statistical computing class involves running a short program. If past experience indicates that 40% of…

Solved (Free): False-positives in testing for HIV. A rapid test for the presence in the blood of antibodies to HIV, the virus that causes

False-positives in testing for HIV. A rapid test for the presence in the blood of antibodies to HIV, the virus…