Consider two events such that P(A)=3/4, P(B)=2/5 and P(AnB)=1/3. Are the events A and B independent?
1 answer:
If P(A) times P(B) is equal to P(A n B), then that shows the events are independent. Otherwise, they are dependent. When I write "A n B", I mean "A intersect B". The intersect symbol looks similar to the lowercase letter n.
P(A)*P(B) = (3/4)*(2/5) = (3*2)/(4*5) = 6/20 = 3/10
Since that result is not the same as P(A n B) = 1/3, this means that the events are not independent. They are dependent events. The answer is choice D
You might be interested in
#1: 0.35 #2: 75% #3: s = 4 #4: 0.08 is greater #5: 15 #6: t = 20 #7: 2 7/10 #8: 100.06 #9: 0
Answer:
13 and 53
Step-by-step explanation:
First Integer: x
Larger integer: 5x-12
66=x+(5x-12)
66= x+5x-12
66=6x+12
78=6x
13=x
First Integer: 13
Larger Integer: 13*5-12= 65-12=53
Check Work:
13+53=66
Y intercept is (0,-7) and x interpret is (-2,0)
Answer:
60 degrees
Step-by-step explanation: