A company manufactures batteries in batches of 26 and there is a 3% rate of defects. Find the standard deviation for the number
1 answer:
Answer:
The standard deviation for the number of defects per batch is 0.87.
Step-by-step explanation:
Let <em>X</em> denote the number of defective batteries per batch.
A company manufactures batteries in batches of <em>n</em> = 26.
It is provided that the rate of defects is, <em>p</em> = 0.03.
Each battery is defective independently of the others.
The random variable <em>X</em> follows a binomial distribution.
The standard deviation of a binomial distribution is:
Compute the standard deviation for the number of defects per batch as follows:
Thus, the standard deviation for the number of defects per batch is 0.87.
You might be interested in
Hi there! Marcie made a mistake in the last step of the solving process.
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be
~ Hope this helps you!
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be
~ Hope this helps you!