Stochastic Structural Dynamics
... Toss a die 1000 times; note down how many times an even number turns up (say, 548). P(even number)=548/1000. N=1000 here is deemed to be sufficiently large. There is no guarantee that as the number of trials increases, the probability would converge. The die need not be “fair”. ...
... Toss a die 1000 times; note down how many times an even number turns up (say, 548). P(even number)=548/1000. N=1000 here is deemed to be sufficiently large. There is no guarantee that as the number of trials increases, the probability would converge. The die need not be “fair”. ...
Measures of spread
... measure using all the data values is more desirable. The variance is such a value. We often use the related measure, its square-root, called the standard deviation. Broadly speaking, the standard deviation is the average of the distances of each value in a data set from the mean of the data. Hence, ...
... measure using all the data values is more desirable. The variance is such a value. We often use the related measure, its square-root, called the standard deviation. Broadly speaking, the standard deviation is the average of the distances of each value in a data set from the mean of the data. Hence, ...
Lesson 96 – Discrete Random Variables
... Expected Value E(X) = P(win)*$2,000,000 + P(lose)*-$1.00 = 2.0 x 106 * 7.2 x 10-8+ .999999928 (-1) = .144 - .999999928 = -$.86 Negative expected value is never good! You shouldn’t play if you expect to lose money! ...
... Expected Value E(X) = P(win)*$2,000,000 + P(lose)*-$1.00 = 2.0 x 106 * 7.2 x 10-8+ .999999928 (-1) = .144 - .999999928 = -$.86 Negative expected value is never good! You shouldn’t play if you expect to lose money! ...
Statistics Name_________________________ 1. A sample of
... After calculating the mean, median, and mode, an error is discovered: one of the 15’s is really 17. the measures of central tendency which will change are: a. the mean only b. the mode only c. the median only ...
... After calculating the mean, median, and mode, an error is discovered: one of the 15’s is really 17. the measures of central tendency which will change are: a. the mean only b. the mode only c. the median only ...
Probability Final Review Name: ______ Algebra IIB Date: ______
... 4. A teacher is passing out first-, second-, and third-place prizes for the best student actor in a production of Hamlet. If there are 14 students in the class, in how many different ways can the awards be presented? ...
... 4. A teacher is passing out first-, second-, and third-place prizes for the best student actor in a production of Hamlet. If there are 14 students in the class, in how many different ways can the awards be presented? ...
Quantitative analysis and R – (1)
... • As the bin gets smaller, the histogram looks more like a continuous curve • Once we interpret a histogram as a continuous curve, it makes more sense to calculating the probability that the observations falls within a range of values rather than counting the number of such observations • The probab ...
... • As the bin gets smaller, the histogram looks more like a continuous curve • Once we interpret a histogram as a continuous curve, it makes more sense to calculating the probability that the observations falls within a range of values rather than counting the number of such observations • The probab ...
Definition 5.3 Given a sample space Ω, if we define a function P on
... i=1 P(Ei ) = i=1 2i = 1. If we define that for any given event A, P(A) is equal to the sum of the probabilities of the simple events in A. Then, P is a probability on Ω. P(A) = 1 − P(Ac) = 1 − P(E1) = 1 − 12 = 12 . Probability of an event A is a number to indicate how big the occurring possibility o ...
... i=1 P(Ei ) = i=1 2i = 1. If we define that for any given event A, P(A) is equal to the sum of the probabilities of the simple events in A. Then, P is a probability on Ω. P(A) = 1 − P(Ac) = 1 − P(E1) = 1 − 12 = 12 . Probability of an event A is a number to indicate how big the occurring possibility o ...
