A company estimates that 0.7% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $48, what is the company's expected value of each warranty sold?

$44.90

Step-by-step explanation:

The resulting value for the company of replacing a failed product is given by the price of the warranty minus the cost of replacement:

F = $47-$300=-$253

This event has a 0.7% chance of happening.

The resulting value for selling extended warranty to a product that does not fail is given by the price of the warranty:

W = $47

This event has a 99.3% chance of happening.

The expected value is:

EV = $44 * 0.993 + ($47-$300) *0.007

EV = $44.90

The expected value for each warranty sold is $44.90.

answer: do we write it

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;