A box contains the 4 numbers: 1 2 4 5 . We will make 2 draws from this box, one at a time, without replacement. Let the random variable X be the largest value drawn divided by the smallest value...


A box contains the 4 numbers:1  2  4  5.We will make 2 draws from this box, one at a time, without replacement.


Let the random variableX be the largest value drawn divided by the smallest value drawn. For example, if the numbers 2,6 are drawn, then the largest is 6, the smallest is 2, so the largest divided by the smallest is 6 / 2 = 3. The following is the probability distribution ofX:





















Value ofX
?22,545
Probability1/6??1/61/61/6

Let the random variableY be the sum of the two draws. The following is the probability distribution ofY:





















Value ofY
3567?
Probability1/61/62/61/61/6


Find the probability the sum of the two draws is 6 or less, P(Y < 6).        =""   =""   =""    =""   =""   =""   =""  ["",="" "",="" "",="">



What is the probability the second draw is a 2?



Jun 03, 2022
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