If a hurricane forms in the eastern half of the Gulf Mexico, there is a 76% chance that it will strike the western coast of Florida. From data gathered over the past 50 years, it has been determined that the probability of hurricane's occurring in this area in any given year is 0.85.
(a) What is the probability that the hurricane will occur in the eastern gulf of Mexico and strike Florida this year?
(b) If a hurricane in the eastern gulf of Mexico is seeded( induced to rain by additions of chemicals from aircraft), it's probability of striking Florida's west coast is reduced by one-fourth. If it is decided to seed any hurricane in the eastern gulf, what is the new value for the probability in part(a)?
Answers
Answer:
modern American poet Robert Frost, the poet is suffering from a dilemma over the choices in his life.
The poet expresses his feelings by stating that he is in a forest and there are two paths through it. One is the much used one followed by most of the travellers while the other is fresh as it is hardly used. Both appear to be promising and the poet ponders over which to take.
Deeply, the poem relates to a serious philosophy of life. Often in life we are confronted with choices and it is very difficult to select one. The selection is very important as it will lead to our future success. The poet too was in a confusion of which profession to take, whether to risk all and pursue being a poet or to carry on his agricultural profession.
5.0
Read more on Brainly.in - https://brainly.in/question/10761383#readmore
Answer:
H and F represents events of hurricane forming in eastern half of the Gulf Mexico and hurricane striking from western cost of Florida.
Then,
P(F|H) = .76 (probabiliry of striking florida given that hurricane has formed)
P(H) = .85
a)
P(H∩F) = P(H) *P(F|H) = .85*.76 = .646
b)
The probability is reduced by 1/4th
So,
P(H|F)= .76 - (1/4)*.76 = .57
Hence, the new probability is
P(H∩F) = P(H) *P(F|H) = .85*.57 = .4845