NEED ASAP! On a math test a student, Sarah, has to identify all the coefficients and constants of the expression 7m+6+b. Sarah s
1 answer:
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This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
Answer:
(a)
(b)
(c)
Step-by-step explanation:
The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.
probability of failure = q = 0.05
probability of success = p = 1 - 0.05 = 0.95
number of trials = n = 1000
(a) What is the expected number of non-defective units?
The expected number of non-defective units is given by
(b) what is the COV of the number of non-defective units?
The coefficient of variance is given by
Where the standard deviation is given by
So the coefficient of variance is
(c) What is the probability of having more than 980 non-defective units?
We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.
We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).
The z-score corresponding to 4.28 is 0.99999
So it means that it is very unlikely that there will be more than 980 non-defective units.