Answer:
23.4
Step-by-step explanation:
23/5+99/5-5/5= 23.4
hope this helps....
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.
Answer:
<u>It takes them 30/11 hours to paint them together.</u>
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
![Tom: R_{T}*6=1\\Huck: R_{H}*5=1](https://tex.z-dn.net/?f=Tom%3A%20R_%7BT%7D%2A6%3D1%5C%5CHuck%3A%20R_%7BH%7D%2A5%3D1)
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
![Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}](https://tex.z-dn.net/?f=Tom%3A%20R_%7BT%7D%3D%5Cfrac%7B1%7D%7B6%7D%5C%5CHuck%3A%20R_%7BH%7D%3D%5Cfrac%7B1%7D%7B5%7D)
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
![(\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B5%7D%29%2AT%3D1%5C%5C%5C%5CT%2A%2811%2F30%29%3D1%20%2C%20T%20%3D%2030%2F11)
Therefore, the time it takes them to paint the fence together is <u>30/11 Hours</u>