Answer:
Step-by-step explanation:
Hello!
Given the probabilities:
P(A₁)= 0.35
P(A₂)= 0.50
P(A₁∩A₂)= 0
P(BIA₁)= 0.20
P(BIA₂)= 0.05
a)
Two events are mutually exclusive when the occurrence of one of them prevents the occurrence of the other in one repetition of the trial, this means that both events cannot occur at the same time and therefore they'll intersection is void (and its probability zero)
Considering that P(A₁∩A₂)= 0, we can assume that both events are mutually exclusive.
b)
Considering that 
you can clear the intersection from the formula 
and apply it for the given events:
c)
The probability of "B" is marginal, to calculate it you have to add all intersections where it occurs:
P(B)= (A₁∩B) + P(A₂∩B)= 0.07 + 0.025= 0.095
d)
The Bayes' theorem states that:
Then:
I hope it helps!
16 added to the product of 1/2 times 8, and then subtracted by 6.
16+4-6=20-6=14
Answer:
Step-by-step explanation:
we are given that A robot is expected to filter pollution out of at least 350 liters of air and water.
Also It filters air at the rate of 50 liters per minute, and it filters water at the rate of 20 liters per minute.
The inequality for number of minutes the robot should filter air (A) and water (W) to meet this expectations can be writte as follows:
Hence the required inequality has been formulated.
Answer:
2
Step-by-step explanation:
Answer:
Hence amount of Alana's donation is $4.5.
Step-by-step explanation:
Amount of Alana's donation = x
Her grandmother agreed to add $4.00 to the amount Alana earned.
So new amount of money = (x+4)
She gives only half of the sum which is (x+4)/2.
She gave her $4.25 so both values must be equal.
Hence amount of Alana's donation is $4.5.
