The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th
1 answer:
Answer: Our required probability is 0.39.
Step-by-step explanation:
Since we have given that
X be the exponentially distributed with mean life = 6 years
So, E[x]=6
So, our cumulative distribution function would be
We need to find the probability that the CPU fails within 3 years.
Hence, our required probability is 0.39.
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Answer:
Binomial
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.
Step-by-step explanation:
For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem
Of the 20 copies, 2 are defective, so .
What is the probability that you will encounter neither of the defective copies among the 10 you examine?
This is P(X = 0) when .
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.