The y - intercept is y=-5/3 x-4
1 answer:
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This is what is in the middle of the second paragraph. That statement is correct.
I don't know that it is any simpler or not, but what they have done in the answer is rationalize the denominator. That means that the denominator is no longer under the square root sign.
To get that result, you multiply numerator and denominator by √F
When you do that, your get
This results in the middle answer.
Answer:
a) 0.5470 = 54.70% probability that none contain high levels of contamination.
b) 0.3562 = 35.62% probability that exactly one contains high levels of contamination.
c) 0.4530 = 45.30% probability that at least one contains high levels of contamination.
Step-by-step explanation:
For each sample, there are only two possible outcomes. Either they contain high levels of contamination, or they do not. The samples are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability that a lab specimen contains high levels of contamination is 0.14.
This means that
A group of 4 independent samples are checked.
This means that
(a) What is the probability that none contain high levels of contamination?
This is P(X = 0)
0.5470 = 54.70% probability that none contain high levels of contamination.
(b) What is the probability that exactly one contains high levels of contamination?
This is P(X = 1)
0.3562 = 35.62% probability that exactly one contains high levels of contamination.
(c) What is the probability that at least one contains high levels of contamination?
Either none of the samples contain high levels of contamination, or at least one does. The sum of the probabilities of these events is decimal 1. So
We want to find . So
0.4530 = 45.30% probability that at least one contains high levels of contamination.