Step-by-step explanation:
a. P(mites OR ticks) = P(mites) + P(ticks) − P(mites AND ticks)
P(mites OR ticks) = 0.80 + 0.30 − 0.20
P(mites OR ticks) = 0.90
b. P(no ticks | mites) = P(no ticks AND mites) / P(mites)
P(no ticks | mites) = (0.80 − 0.20) / 0.80
P(no ticks | mites) = 0.75
c. If two events are independent, then P(A and B) = P(A) × P(B).
P(mites AND ticks) = 0.20
P(mites) × P(ticks) = 0.80 × 0.30 = 0.24
They are not independent.
Answer:
C
Step-by-step explanation:
Step-by-step explanation:
Just remember that
That is the most important part, therefore,
Since
and the integral
is an integral over a bounded interval and
The integral
converges.
Answer:
.25
Step-by-step explanation: