Answer:
Step-by-step explanation:
Given that a fisherman catches fish according to a Poisson process with rate lambda = 0.6 per hour.
The fisherman will keep fishing for two hours.
Since he continues till he gets atleast one fish, we can calculate probability as follows:
(a) Find the probability that he stays for more than two hours.
= Prob (x=0) in I two hours and P(X≥1) in 3rd hour
=P(x=0)*P(X=0)*P(X≥1) (since each hour is independent of the other)
=
(b) Find the probability that the total time he spends fishing is between two and five hours.
Prob that he does not get fish in I two hours * prob he gets fish between 3 and 5 hours
=
(c) Find the expected number offish that he catches.
Expected value in Geometric distribution = , where p = prob of getting 1 fish in one hour
=
(d) Find the expected total fishing time, given that he has been fishing for four hours.
= Expected fishing time total/expected fishing time for 4 hours
=3/0.6*4
= 1.25 hours
If angle 1 and angle 2 are <u>complementary, </u>then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.
So we subtract and get our answer:
38
That's NOT the final answer.
The next step is:
Angle 1 and angle 3 are vertical angles.
Vertical angles are congruent.
So if angle 1 is 38, then angle 3 is also 38.
Now, supplementary angles add up to 180 degrees.
So that's the answer:
180-38=142
142 is the supplement of angle 3.
Hope it helps! :)
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