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1 answer:
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Answer:
Step-by-step explanation:
Given:
We know that, conditional probability of B given that A has occurred is given as:
. Expressing this in terms of
, we get
Plug in the known values and solve for . This gives,
Therefore, the probability of events A and B occurring is .
Answer:
Please find the answer in the image attached
Step-by-step explanation:
Here we are asked to solve a pair of linear inequalities.
In order to do so , we are first required to plot the two lines with inequalities taking into considerations.
Hence let us plot
x+2y=-4 and 5x+2y=4
let us first plot x+2y=-4
let us plot a table for the same for two random values of x and putting them into above equation
x y
0 -2
2 -3
Let us now plot these points and join the line .
Let us check whether (0,0) satisfies the in equation or not
0+2(0)≤-4
0≤-4
Which is not true , Hence we shade the portion divided by our line which does not contain (0,0)
Now let us plot the second line 5x+2y=4
let us plot a table for the same for two random values of x and putting them into above equation
x y
0 2
1 -0.5
Let us now plot these points and join the line .
Let us check whether (0,0) satisfies the in equation or not
5(0)+2(0)≤4
0≤4
Which is true , Hence we shade the portion divided by our line which does contain (0,0)
Please refer to the image attached with this answer.
now the commonly shaded area as shown in the image will be our solution to the above pair of in equations.
