1. A certain simulation experiment is to be performed until a successful result is obtained. The trials are independent and the cost of performing the experiment is $25,000; however, if a failure results, it costs $5,000 to "set up" for the next trial. The experimenter would like to know the expected cost of the project. If Y is the number of trials required to obtain a successful experiment, then the cost function would be C(Y)= $25,000Y + $5,000(Y-1) Assume the probability of success on a single trial is 0.25. Suppose that the experimenter has a maximum of S300,000. What is the probability that the experimental work would cost more than $300,000?

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1.
A certain simulation experiment is to be performed until a successful
result is obtained. The trials are independent and the cost of performing the
experiment is $25,000; however, if a failure results, it costs $5,000 to "set up" for the
next trial. The experimenter would like to know the expected cost of the project. If Y
is the number of trials required to obtain a successful experiment, then the cost
function would be
C(Y) = $25,000Y + $5,000(Y-1)
Assume the probability of success on a single trial is 0.25. Suppose that the
experimenter has a maximum of $300,000. What is the probability that the
experimental work would cost more than $300,000?
Transcribed Image Text:1. A certain simulation experiment is to be performed until a successful result is obtained. The trials are independent and the cost of performing the experiment is $25,000; however, if a failure results, it costs $5,000 to "set up" for the next trial. The experimenter would like to know the expected cost of the project. If Y is the number of trials required to obtain a successful experiment, then the cost function would be C(Y) = $25,000Y + $5,000(Y-1) Assume the probability of success on a single trial is 0.25. Suppose that the experimenter has a maximum of $300,000. What is the probability that the experimental work would cost more than $300,000?
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