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The value of the distribution for any value of the random variable must be in the range [0, 1].

The sum (or integral) of the probability distribution function over all possible values of the random variable must be 1.

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Q: What are the 2 conditions that determine a probability distribution?
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How does a discrete probability distribution differ from a continuous probability distribution?

A discrete probability distribution is defined over a set value (such as a value of 1 or 2 or 3, etc). A continuous probability distribution is defined over an infinite number of points (such as all values between 1 and 3, inclusive).


The probability density function for a uniform distribution ranging between 2 and 6 is?

4


What are the requirements for probability distribution?

(1) That the probabilities lie between 0 and 1. (2) The sum of all probabilities of the distribution sum up to 1.


What is the probability that exactly 2 have some kind of defect?

The probability is determined by the binomial distribution. We consider p = probability of defect, q = probability of not defect, n = sample size, and x= number of defects in sample, in this case x=2. We calculate the probability as P(X = x) = n!/[(n-x)! x!] pxqn-x If sample size = 10 and p = 0.1 then: P(x= 2) = 10!/(8!x2!)(0.1)2(0.9)8 = 0.1937 You can find more about the binomial distribution under Wikipedia. It is important also to note the assumptions when using this distribution. It must be a random sample and the probability of defects is known.


What would -2 standard deviation below the mean be?

It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.

Related questions

How does a discrete probability distribution differ from a continuous probability distribution?

A discrete probability distribution is defined over a set value (such as a value of 1 or 2 or 3, etc). A continuous probability distribution is defined over an infinite number of points (such as all values between 1 and 3, inclusive).


What is F Probability Distribution?

Given U_i~χ_(ν_i)^2, (U_1/ν_1)/(U_2/ν_2 ) follows which distribution? F_(ν_1,ν_2 ) F Probability Distribution with ν degree of freedom Given T=Z/√(U/ν), Z~N(0,1) and U~χ_ν^2, T^2 follows an F-Distribution F_(1,ν) F Probability Distribution with one degree of freedom in the numerator and ν in the denominator


For lamda equals 5.5 the probability of x equals 2 is?

The answer depends on what the distribution is!


How do you calculate probability distribution?

calulate each of the foollowing each of the following distribution x p(X)2 0 .2 1 .8


What is Chi-square Probability Distribution?

The Chi-square probability distribution is a probability distribution that describes the distribution of the sum of squared standard normal random variables. It is often used in hypothesis testing and is characterized by its degrees of freedom. The shape of the distribution depends on the degrees of freedom parameter, with larger degrees of freedom resulting in a more symmetric and bell-shaped distribution.


The probability density function for a uniform distribution ranging between 2 and 6 is?

4


What is the probability of getting a sum of 2?

That would depend on the conditions of the experiment.


What are the requirements for probability distribution?

(1) That the probabilities lie between 0 and 1. (2) The sum of all probabilities of the distribution sum up to 1.


Probability of 2 out of 12 trials being positive if the probability of each trial being positive is 5 percent?

This is a binomial probability distribution; n=12, r=2 & P=.05. Read directly from the table probability of 2 is .099 (plugging this data into my calculator gives 0.09879).


What is the area under a curve with mu equals 15 and sigma equals 2?

If the question is to do with a probability distribution curve, the answer is ONE - whatever the values of mu and sigma. The area under the curve of any probability distribution curve is 1.


What is the probability that exactly 2 have some kind of defect?

The probability is determined by the binomial distribution. We consider p = probability of defect, q = probability of not defect, n = sample size, and x= number of defects in sample, in this case x=2. We calculate the probability as P(X = x) = n!/[(n-x)! x!] pxqn-x If sample size = 10 and p = 0.1 then: P(x= 2) = 10!/(8!x2!)(0.1)2(0.9)8 = 0.1937 You can find more about the binomial distribution under Wikipedia. It is important also to note the assumptions when using this distribution. It must be a random sample and the probability of defects is known.


What is of discrete uniform distribution?

A discrete uniform distribution assigns the same probability to two or more possible events. For example, there is a discrete uniform distribution associated with flipping a coin: 'heads' is assigned a probability of 1/2 as is the event 'tails'. (Note that the probabilities are equal or 'uniform'.) There is also a discrete uniform distribution associated with tossing a die in that there is a 1/6 probability for seeing each possible side of the die.