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Elden [556K]
3 years ago
5

Solve using elimination. 4. 2x + 3y = 12 2x – y = 4 5. 5x – 2y = - 19 2x + 3y = 0

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
I am attaching a document showing the steps.

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Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

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d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

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