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
Well if you're solving for x this would be rather simple. 7x +1=68 , then you'd minus 1 from both sides. 7x = 67 then divide 67 by 7. The answer isn't a whole number so x would either be 67/7 or 9.57.. etc.
Triangle AEB could be proven similar to triangle DEC using the AA similarity postulate as ∠AEB ≅ ∠DEC because vertical angles are congruent; rotate ΔCED 180° around point E, then translate point D to point A to confirm ∠EAB ≅ ∠EDC.
<h3>What is AA similarity postulate?</h3>
The AA Similarity Postulate shows that two triangles are similar. If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.
In tis case, Triangle AEB could be proven similar to triangle DEC using the AA similarity postulate as ∠AEB ≅ ∠DEC because vertical angles are congruent; rotate ΔCED 180° around point E, then translate point D to point A to confirm ∠EAB ≅ ∠EDC.
Learn more about triangle on:
brainly.com/question/17335144
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Area of the square is 30 . area of the triangle is 6 . so 36