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tinasidell1972
15.10.2019 •
Mathematics
Industry standards suggest that 10 percent of new vehicles require warranty service within the first year. jones nissan in sumter, south carolina, sold 9 nissans yesterday. (round your mean answer to 2 decimal places and the other answers to 4 decimal places.)a. what is the probability that none of these vehicles requires warranty service? b. what is the probability exactly one of these vehicles requires warranty service? c. determine the probability that exactly two of these vehicles require warranty service.d. compute the mean and standard deviation of this probability distribution.
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Ответ:
a) 0.3874
b) 0.3874
c) 0.1722
d) Mean and Standard Deviation = 0.9
Step-by-step explanation:
This is binomial distribution problem that has formula:
Here p is probability of success = 10% = 0.1
q is probability of failure, that is 90% = 0.9
n is total number, which is 9, so n = 9
a)
The probability that none requires warranty is r = 0, we substitute and find:
Probability that none of these vehicles requires warranty service is 0.3874
b)
The probabilty exactly 1 needs warranty would change the value of r to 1. Now we use the same formula and get our
This probability is also the same.
Probability that exactly one of these vehicles requires warranty is 0.3874
c)
Here, we need to make r = 2 and put it into the formula and solve:
Probability that exactly two of these vehicles requires warranty is 0.1722
d)
The formula for mean is
Mean = n * p
The formula for standard deviation is:
Standard Deviation =![\sqrt{n*p*(1-p)}](/tpl/images/0322/5386/94df4.png)
Hence,
Mean = 9 * 0.1 = 0.9
Standard Deviation =![\sqrt{9*0.1*(1-0.1)}=0.9](/tpl/images/0322/5386/4a900.png)
Ответ:
Angles ACB and CAB are both 75 degrees due to the fact that they are 90 degree angles subtracting the 15 degrees. Then add the two together and subtract from 180.