Using the binomial distribution, it is found that they would expect to find 240 dead batteries among the entire 12,000.
For each battery, there are only two possible outcomes, either it was dead or it was not. The probability of a battery being dead is independent of any other battery, hence the binomial distribution is used to solve this question.
<h3>What is the binomial probability distribution?</h3>
It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, we have that:
- One in 50 batteries are dead, hence p = 1/50 = 0.02.
- There is a total of 12,000 batteries, hence n = 12000.
Then:
E(X) = np = 12000(0.2) = 240
They would expect to find 240 dead batteries among the entire 12,000.
You can learn more about the binomial distribution at brainly.com/question/24863377
100 students walk to school each day because no matter if you ride the bus or bike to school, you still gotta walk into the school
Yurrr
Answer:
Identity property
Identity property says that any number multiplied by one is itself
Answer:
The quotient of any two numbers can be written as:
A/B
such that:
A, B ∈ {R}
Where {R} is the set of all real numbers.
But we also have the restriction that the denominator, B in this case, must be different than zero.
So we can define the set:
{R \ {0}}
As the set of all the real numbers minus the element 0.
So in this set we do not have the number zero, so now we can write our expression as:
A/B
A ∈ {R}, B ∈ {R \ {0}}
