Mathematics, 23.07.2020 01:01, lauren21bunch

A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X = the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is as follows. f(x) = kx^2 0 ? x ? 2
0 otherwise
(a) Find the value of k.
(b) What is the probability that the lecture ends within 1 min of the end of the hour?
c) What is the probability that the lecture continues beyond the hour for between 15 and 45 sec?
(d) What is the probability that the lecture continues for at least 75 sec beyond the end of the hour?

Answers: 3

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:30, belle200163

Two fire-lookout stations are 190 miles apart, with station a directly south of station b. both stations spot a fire. the bearing of the fire from station a is upper n 55 degrees upper e and the bearing of the fire from station b is upper s 60 degrees e. how far, to the nearest tenth of a mile, is the fire from each lookout station?

Answers: 1

continue

Mathematics, 21.06.2019 17:00, joshuag5365

Of the ones listed here, the factor that had the greatest impact on the eventual destruction of native americans' ways of life was the development of the a) automobile. b) highway. c) railroad. d) steamboat.

Answers: 3

continue

Mathematics, 21.06.2019 18:30, angelapegues20097

Tyler enjoys the fish so much that after his birthday his family decides to take him to a famous aquarium a tank at the aquarium is similar to his tank with the scale factor of 8 how many times greater is the volume of the tank at the aquarium than the volume of tyler tank

Answers: 2

continue

Mathematics, 21.06.2019 21:50, bcox32314

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? \ 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x

Answers: 3

continue

Do you know the correct answer?

A college professor never finishes his lecture before the end of the hour and always finishes his le...