Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly <u>x successes on n repeated trials, with p probability.</u>
The mean of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem:
- Six percent of computer chips produced by Cheapo Chips are defective, hence .
- Each month a random sample of 200 chips manufactured that month are taken, hence
Then:
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at brainly.com/question/12473640
Answer:
x=12
Step-by-step explanation:
The two angles make a straight line, which is 180 degrees
10x-20 +6x+8 = 180
Combine like terms
16x -12 = 180
Add 12 to each side
16x-12+12 = 180+12
16x =192
Divide by 16
16x/16 = 192/16
x =12
Answer:
x = {-1/5, 1}
Step-by-step explanation:
(5x - 2)² - 1 = 8
Add 1 to both sides
(5x - 2)² = 9
Take the square root of both sides
5x - 2 = ±3
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<u>Solution I</u> for 5x - 2 = +3
5x - 2 = 3
add 2 to both sides
5x = 5
Divide both sides by 5
x = 1
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<u>Solution II</u> for 5x - 2 = -3
5x - 2 = -3
add 2 to both sides
5x = -1
Divide both sides by 5
x = -1/5
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x = {-1/5, 1}
Answer:
Y=x(5)+120
Step-by-step explanation:
Y= the money you have to pay for the party
X(5)= you multiply x by 5
+120= you add the fee