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A computer generates independent random numbers from the continuous uniform distribution over the range [0,1]. In a sample of 5 such numbers, what is the probability that exactly 2 are less than 0.37 ?

Reply 1

simonli2575

First, consider the probability of a number being less than 0.37.
Then consider the 5 numbers using a binomial distribution model.

Reply 2

Vorsah

Original post by simonli2575

First, consider the probability of a number being less than 0.37.
Then consider the 5 numbers using a binomial distribution model.

the probability of a number being less than 0.37 is 0.37

so do i do X~B(5,0.37)

and work out P(X=2)?

the answer i get is 0.342414343

(edited 9 years ago)

Reply 3

simonli2575

Original post by Vorsah

the probability of a number being less than 0.37 is 0.37

so do i do X~B(5,0.37)

and work out P(X=2)?

Yes.

Posted from TSR Mobile

Reply 4

Vorsah

Original post by simonli2575

Yes.

Posted from TSR Mobile

thanks a lot

Reply 5

simonli2575

You're welcome.

Posted from TSR Mobile

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