Two independent random numbers between 0 and 1 are selected (say by a random number generator...

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Two independent random numbers between 0 and 1 are selected (say by a random number generator...

Two independent random numbers between 0 and 1 are selected (say by a random number generator on a calculator). What is the probability the first is no greater than 0.33 and the other is at least 0.57?

math Statistics-And-Probability

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Answer 1

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P(1st < =.33 and 2nd >=.57) = ?

This is simply the area covered under the probability distribution (i.e. 1). limited by the constraints : x<.= 33 and x>=.57

The total area is

= .33+(1-.57)

= .33+.43

= .77

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Answer 2

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Two independent random numbers between 0 and 1 are selected (say by a random number generator...

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