Answer: 0.55567
Step-by-step explanation:
Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.
i.e.
Let 
and 
are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator 
.
So that, 
Mean 
Standard deviation =
Z-score : ![z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7BX-E%5Bx%5D%7D%7B%5Csqrt%7BVar%5Bx%5D%7D%7D%3D%5Cdfrac%7B0-1%7D%7B7.0156315694%7D%5Capprox-0.14)
Now , The probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-
Hence, the required probability is 0.55567.
<h2>Hello</h2>
The answers are:
a) The name of the function is y, and it's a Square Root Function.
b) Independent variable : x , dependent variable : y
c) The rule that assigns exactly one output to the very input is called "function".
d) 
<h2>Why?</h2>
The name of a function can be also given as a single letter (y). For this exercise, the name of the function is "y", and it's a Square Root Function.
The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".
The dependent variable is the function itself (y), and it's called "dependent" variable because its values will always depend on the "independent variable".
A function is the rule that states that there is exactly one output (range value) to the very input (domain value). A function only exists when there is exactly one output value (range) for each given input (domain), if there is more than one output for each input, the function does not exist.
To evaluate a function we assign values to the independent variable(x), hence:
Have a nice day!
Numbers expressed using exponents are called base :)
