●ber of possible values of X is finite or countably infinite, X is a discretevariable, i.e. the possible values of X may be listed as X₁, X2, ..., Xn-With each possible outcome x,, we associate a number: -p(x) = P(X= x;),p(x) must satisfyp(x;) ≥ 0Σp(x)=Li=1Solution:where p is the probability function.Vi (for all i)Example: In the case of tossing a coin twice, the random variable X represents the number of heads obtained.the probability distribution of the discrete random variable? ↑whereXidn!x!(n-x)!= np.Expectation and Variance of a Binomial Random VariableE(X)=Σxp(x)XESV(X)=E(X-µ)²=np(1-p).m(a) exactly 2 are defective(b) at least 2 are defective(c) at most 2 are defective.*OThe Binomial DistributionExample: 10% of a certain manufacturers flares are defective. If a random sample of twelve are fired, find theprobability thatWhat is the mean and variance?

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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i=1 Example: In the case of tossing a coin twice, the random variable X represents the number of heads obtained the probability distribution of the discrete random variable? Solution: