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 one year ago
Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 and a height of 1. The random number generator creates any number between 0 and 1. Find the following probabilities:
a) P(0 <= X <= 0.4)
b) P(0.4 <= X <= 1)
c) P(X > 0.6)
d) P(X <= 0.6)
e) P(0.23 <= X <= 0.76)
 one year ago
Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 and a height of 1. The random number generator creates any number between 0 and 1. Find the following probabilities: a) P(0 <= X <= 0.4) b) P(0.4 <= X <= 1) c) P(X > 0.6) d) P(X <= 0.6) e) P(0.23 <= X <= 0.76)

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schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0@ParthKohli @hba ??

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0(a) I know a is 0.4

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1358086275602:dw Here's how you get it.

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0ok so a would then be 0.4?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes, as you said. Remember the area under a probability distribution always add up to 1.0.

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0Ok! how do i find b?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Probability(a<X<b)=area between the vertical lines a and b.

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0Ok! would d be .4 too then

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Can you repeat for d? Draw the diagram and check.

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0x is less then or eqaual to .6.....

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0im not sure how to find this probability?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The figure is similar to the one I drew, but the vertical line is at 0.6.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1X varies from 0 to 1, so X<0.6 means from 0 to 0.6

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1358086899713:dw

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0thats 60 % of the diagram

schmidtdancer
 one year ago
Best ResponseYou've already chosen the best response.0ok so d is .6? :)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You do realize that we are dealing with a square of 1x1. So 0<X< 0.6 means simply 60% of the square. Sometimes, and most of the time, the distribution is not a straight line (uniform), the calculation may not be as easy. Such as this: dw:1358087084888:dw You're doing great with this particular case. ALSO NOTICE that we did not care between <= (less than or equal) and < less than. It is because P(x=0.6) is zero, because it is almost impossible for X to be exactly 0.6. Finally, for (e), you got it right again, congratulations!
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