A First Course in Probability (10th Edition)
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; The sum of probability density functions over ... more
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None of the functions is the probability density ... more
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; The probability that the tank is exhausted is 0... more
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; The sum of probability density functions over... more
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hours ; The expectation of a random variable can... more
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; The variable represent the number of units ... more
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; On the line segment, choose a point of ... more
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; Write the probability density function of the ... more
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; Using the -distribution, compute the ... more
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; Compute the -score by substituting and in the... more
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14.56 ; Compute the value of using the standard ... more
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; Compute the -score by substituting inches, ... more
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; Compute the probability that the number of ... more
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; Let the random variable represent the number ... more
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; Compute the probability that one of the chips... more
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; Let the random variable represent the number ... more
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; Let the random variable represent the number ... more
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The coin is not fair. ; Let be the random ... more
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; Let be the number of subjects that are left ... more
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0.99934 ; The movement of the stock for one period... more
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0.39 ; It is given that the probability of making ... more
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; Due to the memoryless property of the ... more
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, ; Because of the exponential random variable has... more
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An exponential random variable with parameter ; ... more
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; The root of the equation can be calculated by ... more
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; Let then the distribution function of Since... more
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; For the uniformly distributed random variable... more
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; The random variable is uniformly distributed ... more
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; , write the probability density function of... more
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; The sum of probability density functions ... more
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; Use the formula to find the expected value of ... more
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; From the information provided, ; more
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; Apply the formula to find the expected value ... more
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; The expected value can be computed using for a... more
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; Let us assume that the event is divided into... more
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; Compute the variance of the random variable... more
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Since the random variable takes values between ... more
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and are the points of inflection of the function... more
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; The identity of theoretical exercise states ... more
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; If is an exponential random variable with ... more
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; The hazard rate function is defined as For ... more
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; When the probability density function of ... more
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The probability function of Gamma distribution is ... more
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If follows exponential with mean then so that ... more
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If is an gamma random variable with parameters ... more
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From given consider By following the hint let ... more
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; The gamma density function with parameters has... more
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Weibull distribution with has cumulative ... more
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It is given that Note that follows Weibull ... more
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; From the example it is observed to show that It... more
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; It is given that . Consider random variable ... more
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It is given that is a continuous random variable ... more
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; Consider the first case that is Calculate the ... more
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; It is given that the variable has a normal ... more
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Theorem 7.1 states how to derive the PDF for when... more
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; Calculate the value of . The probability ... more
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; It is known that the value of area under the ... more
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It is given that, .From this it can be concluded ... more
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; Calculate the probability density function for ... more
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that is, should leave no later than minutes ... more
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; Let be the random variable. ; As, Therefore... more
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Probability density function of Standard Cauchy's ... more
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; Given that there are two types of objects in a ... more
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In order to test the equivalence of the equation... more
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