The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. the manufactorer replaces free all motors that fail while under guarantee. if she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered?

If the average life is less than 6.24 years, then, it lies in the lower 3% and willing to be replaced.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 10

Standard Deviation, σ = 2

We assume that the distribution of average life is a bell shaped distribution that is a normal distribution.

Formula:

a) P(X<x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X < x)  

Calculation the value from standard normal z table, we have,  

Hence, if the average life is less than 6.24 years, then, it lies in the lower 3% and willing to be replaced.

i used to know how to do this in 7th but i forget easily

step-by-step explanation:

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.