The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that the component will survive past 5 years assuming:

(a) lambda=.5
Pr=
(b) lambda=0.9
Pr=
(c) lambda=1.1
Pr=

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

In which is the decay parameter.

The probability that x is lower or equal to a is given by:

Which has the following solution:

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

In all 3 cases, we want P(X > 5). So

In which

(a) lambda=.5

(b) lambda=0.9

(c) lambda=1.1

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

b

step-by-step explanation:

u take $75 minus $60.the anwer/original($75)multiply by 100