You choose a random number k from 1 to n. Then you keep randomly choosing numbers till you choose a number greater than k. What is the probability mass function of the number of times you will choose a number (excluding the first choice of target number)? What are the expected value and the variance?

Q: Suppose the cumulative distribution function of the random variable X is x < 0 F(x) = { 0.2x 0 < x <…

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Q: Evaluate the cumulative distribution function of a binomial random variable with n=3 and p = 1/5 at…

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Q: Find the expected value of the above random variable.

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Q: Consider the cumulative distribution function of a continuous random variable X, if 01 1 What is the…

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Q: The number of tweets received by a certain Twitter user is a Poisson random variable with a mean…

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Q: а) Suppose that Game store in Polokwane donated a lot of 8 computer sets that includes 3 which are…

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Q: Past experience has shown that, on the average, only one in ten wells drilled hits oil. Let X be the…

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Q: Suppose we have a random variable Y where the probability function (or probability mass function) is

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Q: Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of…

A: Given Lamda =1.3/10

Q: (a) Explain why the Poisson distribution would be a good choice for the probability distribution of…

A: (a) The random variable r is defined as the number of prehistoric artifacts found in your 48 liters…

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Q: 5) Samples of size n = 2 are randomely selected with replacement from the popula- tion consisting of…

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Q: 4. For a linear combination of n random variables, find its expectation and variance.

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Q: If Z is a standard normal random variable, then what is the probability that Z&gt; 1.5 or Z&lt;…

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Q: a) Suppose that you choose three coins at random (without replacement) from a bag containing four…

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Q: ample size 7 o

A: Given as, Random sample size 7 out of 15 people.

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Q: A fair coin is flipped 100 times. The random variable X= number of heads out of the 100 tosses. What…

A: Solution: Let X be the number of heads out of the 100 tosses. From the given information, n=100.

Q: Suppose the cumulative distribution function of the random variable X is 0 x < 0 F(x) - 0 < x < 5 1…

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Q: Suppose the cumulative distribution function of the random variable X is x < 0 0 <x < 5 5 < x F(x)…

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Q: The random number generator on calculators randomly generates a number between 0 and 1. The random…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.