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?

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

0.02040816326

it’s the first one your welcome

answer: 8

step-by-step explanation: