Afisherman catches fish according to a poisson process with rate lambda = 0.6 per hour. the fisherman will keep fishing for two hours. at the end of the second hour, if he has caught at least one fish, he quits; otherwise, he continues until he catches one fish. (a) find the probability that he stays for more than two hours. (b) find the probability that the total time he spends fishing is between two and five hours. (c) find the expected number offish that he catches. (d) find the expected total fishing time, given that he has been fishing for four hours.

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

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

b

step-by-step explanation: