The life of an electric component has an exponential distribution with a mean of 8 years. What is the probability that a randomly selected one such component has a life less than 5 years? (round to 4 decimal places)

The probability is 0.4647

Step-by-step explanation:

The variable X is the life of an electric component in years.

X follows a exponential distribution, it means that the probability that the life of an electric component is less than x years is calculated as:

Where and is the mean life of the electric component.

So, replacing x by 5 and by 8, we get that the probability that a randomly selected component has a life less than 5 years is:

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have