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How do you calculate the expectation value and standard deviation when you have multiple probabilities?
Suppose the discrete variable X takes the values x where the x belong to some set A. So, for example, if X is the result of a roll of a die then A = {1, 2, 3, 4, 5, 6}.
Then the expected value of X,
E(X) = Sum of [x*Prob(X = x)], where the summation is over all x in A.
In the die example, this would be
1*Prob(X=1) + 2*Prob(X=2) + ... + 6*Prob(X=6)
Let E(X2) = Sum of [x2*Prob(X = x)], where again the summation is over all x in A.
Then Variance(X) = E(X2) - [E(X)]2
and the Standard Deviation = sqrt(Variance).
If X is a continuous variable, then replace Prob(X = x) by the probability density function of X and instead of the summation over A, you will need to integrate with respect to x over the set A.
What else can I help you with?
What is the probability of the multiple of three?
Things and numbers don't have probabilities. Situations and events that can happen have probabilities.
What is a 1.66 standard deviation in percentage?
The standard deviation is a measure of spread in a distribution, and 1.66 sd is a measure of a multiple of that interval. What that represents, in percentage terms, depends on the distribution, and whether the 1.66 sd is on one side of the mean or both. In view of the missing information, there can be no simple answer.
Calculate lowest common multiple of 18 24 and 27?
The lowest common multiple of the numbers 18, 24 and 27 is 216.
What is 20 percent of 360?
To calculate the answer you can just multiple .20 by 3.60. The answer is .72.
What is the joint probability of rolling a four on a six-sided die and correctly quessing a random picked number as being odd or even?
The two events are independent, so the answer is simply the multiple of the probabilities of the two events. So joint prob = 1/6 * 1/2 = 1/12
What is the probability of the multiple of three?
Things and numbers don't have probabilities. Situations and events that can happen have probabilities.
How do you get probabilities of situations that contain multiple events?
The answer depends on if and how the events depend on one another.
How do you calculate repeatability?
Repeatability is defined as the measurement variability found when the same item is measured repeatedly with a specific gauge by the same operator. To calculate repeatability, follow these guidelines and repeat an experiment multiple times. The repeatability is the standard deviation of repeat measurements by the same operator.
Definition of the Product rule in genetics?
The product rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. In genetics, the product rule is used to calculate the probability of inheriting multiple independent traits or alleles simultaneously from different parents.
What is a 1.66 standard deviation in percentage?
The standard deviation is a measure of spread in a distribution, and 1.66 sd is a measure of a multiple of that interval. What that represents, in percentage terms, depends on the distribution, and whether the 1.66 sd is on one side of the mean or both. In view of the missing information, there can be no simple answer.
How can one calculate percent error with multiple trials?
To calculate percent error with multiple trials, find the average of the trials, then calculate the percent difference between the average and the accepted value. Divide this difference by the accepted value and multiply by 100 to get the percent error.
Why is it rare to have the experimental and theoretical probabilities be the same?
Because multiple experiments can be tried to prove just one theory. When humans get involved there are a multitude of factors that sometimes can't and don't get taken into account as well.
Calculate lowest common multiple of 18 24 and 27?
The lowest common multiple of the numbers 18, 24 and 27 is 216.
What is 20 percent of 360?
To calculate the answer you can just multiple .20 by 3.60. The answer is .72.
How do you calculate the surface area or volume of each shape?
we can use integration.- multiple integration.
How do you calculate the 9th common multiple of 6 and 8?
Find the LCM and multiply it by 9.
How do you calculate B3 multiple values in C3 in Excel?
The simplest way is:=B3*C3
