Depending on the input a computer program takes variable number of cycles to come up with the answer. Let X be the random variable which takes on the values k = 1,2,3,··· ,infinity for the number of cycles required to come up with the answer where 1 is the possibility that the program never arrives at an answer. (a) The probability mass function (p.m.f) for completing in k cycles is p_X(k) = (2^k)/(3^(k+1)) , k = 1,2,3,··· . What is the probability that the computer program never completes? (b) Use part (a) to find probability P (X greater or equal 3). Write your answer in a simplest fraction. (c) Given that the program has not found the answer after 2 cycles, what is the probability that it will never find the answer?
Depending on the input a computer program takes variable number of cycles to come up with the answer. Let X be the random variable which takes on the values k = 1,2,3,··· ,infinity for the number of cycles required to come up with the answer where 1 is the possibility that the program never arrives at an answer. (a) The probability mass function (p.m.f) for completing in k cycles is p_X(k) = (2^k)/(3^(k+1)) , k = 1,2,3,··· . What is the probability that the computer program never completes? (b) Use part (a) to find probability P (X greater or equal 3). Write your answer in a simplest fraction. (c) Given that the program has not found the answer after 2 cycles, what is the probability that it will never find the answer?
Depending on the input a computer program takes variable number of cycles to come up with the answer. Let X be the random variable which takes on the values k = 1,2,3,··· ,infinity for the number of cycles required to come up with the answer where 1 is the possibility that the program never arrives at an answer. (a) The probability mass function (p.m.f) for completing in k cycles is p_X(k) = (2^k)/(3^(k+1)) , k = 1,2,3,··· . What is the probability that the computer program never completes? (b) Use part (a) to find probability P (X greater or equal 3). Write your answer in a simplest fraction. (c) Given that the program has not found the answer after 2 cycles, what is the probability that it will never find the answer?
Depending on the input a computer program takes variable number of cycles to come up with the answer. Let X be the random variable which takes on the values k = 1,2,3,··· ,infinity for the number of cycles required to come up with the answer where 1 is the possibility that the program never arrives at an answer.
(a) The probability mass function (p.m.f) for completing in k cycles is p_X(k) = (2^k)/(3^(k+1)) , k = 1,2,3,··· .
What is the probability that the computer program never completes?
(b) Use part (a) to find probability P (X greater or equal 3). Write your answer in a simplest fraction.
(c) Given that the program has not found the answer after 2 cycles, what is the probability that it will never find the answer?
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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