Mathematics, 18.04.2020 01:59 andrwisawesome0

Daniel and Seema are exploring a cave, and each have brought a flashlight. The lifetimes of their flashlight batteries can be considered independent exponential random variables with rate parameters s λd (where D denotes Daniel and S denotes Seema). Suppose one of their batteries has just gone out. What is the expected additional lifetime of the other person's battery?
A) Solve for the remaining lifetime in terms of λD and λS. Show all work and come up with a general formula.
B) Suppose Daniel's flashlight battery lasts, on average, for 43 hours and Seema's for 52 hours, on average. Given that one of their flashlights has just gone out, how long do we expect the other flashlight battery to last?

Answers: 1

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:30, stacy021603

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

Answers: 1

continue

Mathematics, 21.06.2019 15:30, Fireburntbudder

If x + 10 = 70, what is x? a. 40 b. 50 c. 60 d. 70 e. 80

Answers: 2

continue

Mathematics, 21.06.2019 15:30, jasmine0182lopez

Gretchen is setting up for a banquet. she has 300 chairs and needs to distribute them evenly among t tables. how many chairs should she put at each table? write your answer as an expression.

Answers: 1

continue

Mathematics, 21.06.2019 16:10, lilyplant4289

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.

Answers: 1

continue

You know the right answer?

Daniel and Seema are exploring a cave, and each have brought a flashlight. The lifetimes of their fl...