This problem represents "binomial probability," because any given "experiment" can have only two possible outcomes: defective or not defective.
Here the "population" probability that a given microwave unit is defective is 0.015. We arbitrarily define "defective microwave" as a "success" and "non-defective microwave" as a "failure."
We can obtain binomial probability values from a calculator such as the TI-83, from a table or from the binomial probabilty formula. In all of these cases the number of samples is given and is n=20; the probability of "success" is also given and is p=0.015.
Case 1: What is the probability that exactly 1 microwave unit is defective?
Using the TI-83: binompdf(20,0.015,1) = 0.225, or 9/40.
Case 2: What is the p. that at most 2 are defective? Add together the binomial probabilities binompdf(20,0.015,0),binompdf(20,0.015,1),binompdf(20,0.015,2).
Result: 0.7391 + 0.2250 + 0.0326 = 0.9967.
Mean: The mean of a binomial probability such as this one is simply np, which in his case is 20(0.015)=0.30. Find and apply the formula for the standard deviation.
Hello!
If we have a scale factor of 0.5, all of our final points will just be half of our original as seen below.
(4,2)⇒(2,1)
(2,4)⇒(1,2)
(6,4)⇒(3,2)
As you can see, these points match B which is our answer.
I hope this helps!
The y-intercept is where on the graph the line is intersecting the y=axis. Slope is in the form y=mx+b (b=y-intercept, mx=how far up and over.)
Step-by-step explanation:
cost of television-$239
discount-10%
239÷10