Suppose A and B are independent events. If P(A)= 0.4 and P(B) = 0.85, what is P(A and B)?
1 answer:
The value of the P(A∩B) is equal to 0.04.
We have given that,
P(A)= 0.4 and P(B) = 0.85.
We have to determine the P(A and B)
<h3>What is the formula for Independent Events?</h3>For Independent Events,
P(A) × P(B) = P(A∩B)
so we have, P(A∩B) = 0.4×0.1
P(A∩B) = 0.04
P(A') = 1 - 0.4 = 0.6
This information can be represented on a Venn diagram as shown below
P(A'∪B) means the union of everything that is not A with everything that is B
P(A'∪B) = 0.06 + 0.54 + 0.04
P(A'∪B) = 0.64
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The complete question in the attached figure
Let
w --------> represent the number of weeks that Jack saves
s --------- > represent the total amount saved, in dollars
step 1
find the equation of the line
points
(2,12) and (4,24)
slope m=(s2-s1)/(w2-w1)------->m=(24-12)/(4-2)-----> m=6
step 2
with m=6 and point (2,12)
s-s1=m*(w-w1)--------> s-12=6*(w-2)-----> s=6w-12+12-----> s=6w
the answer is
s=6w
Let
w --------> represent the number of weeks that Jack saves
s --------- > represent the total amount saved, in dollars
step 1
find the equation of the line
points
(2,12) and (4,24)
slope m=(s2-s1)/(w2-w1)------->m=(24-12)/(4-2)-----> m=6
step 2
with m=6 and point (2,12)
s-s1=m*(w-w1)--------> s-12=6*(w-2)-----> s=6w-12+12-----> s=6w
the answer is
s=6w