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lacourboud20005
05.02.2020 •
Mathematics
Vanessa has two bags that contain slips of paper. one bag has 4 slips of paper that are numbered 2, 3, 4, and 5. the other bag has 4 slips of paper that are numbered 3, 4, 5, and 6.
vanessa chooses one slip of paper from each bag without looking.
the random variable x is the product of the numbers on the slips of paper.
what is p(12 ≤ x ≤ 15)?
enter your answer, in simplest fraction form, in the box.
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Ответ:
5/16
Step-by-step explanation:
If Vanessa pulls out a 2 from the first bag, then the possibilities based on the second bag are:
X = 2*3 = 6
X = 2*4 = 8
X = 2*5 = 10
X = 2*6 = 12
Repeat this for the other values from the first bag. If she pulls a 3, the possibilities are:
X = 3*3 = 9
X = 3*4 = 12
X = 3*5 = 15
X = 3*6 = 18
If she pulls a 4:
X = 4*3 = 12
X = 4*4 = 16
X = 4*5 = 20
X = 4*6 = 24
And finally, if she pulls a 5:
X = 5*3 = 15
X = 5*4 = 20
X = 5*5 = 25
X = 5*6 = 30
Of the 16 total combinations, 5 are greater than or equal to 12 and less than or equal to 15.
Therefore, P(12 ≤ X ≤ 15) = 5/16.
Ответ:
jacob and kent will