Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
Well, is just their difference, let's first convert the mixed fraction to "improper" and then subtract.
The regular period is 2pi. If you look up or type in a graphing calculator you can see that's when the sine function starts to repeat itself.
Option A:
The probability that Everett and Finley end up with an even number and a blue disk is
.
Solution:
Given data:
Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}
Finley is drawing one disk from basket with colors = {blue, red, yellow}
Total number of numbers = 6
Total number of colors = 3





Divide numerator and denominator by the common factor 3.


Option A is the correct answer.
Hence the probability that Everett and Finley end up with an even number and a blue disk is
.