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Bond [772]
3 years ago
7

A company makes automobile batteries. The probability of seeing a defected product \displaystyle{0.01}0.02. What is the probabil

ity of seeing 4 defected batteries in a sample of 200 batteries ?
Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

There is a 19.73% probability of seeing 4 defected batteries in a sample of 200 batteries.

Step-by-step explanation:

For each battery there are only two possible outcomes. Either they are defective, or they are not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 200, p = 0.02

What is the probability of seeing 4 defected batteries in a sample of 200 batteries ?

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{200,4}.(0.02)^{4}.(0.98)^{196} = 0.1973

There is a 19.73% probability of seeing 4 defected batteries in a sample of 200 batteries.

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Answer:

Incomplete Question

Step-by-step explanation:

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2 years ago
Solve -9-8(1+4h)=-17
Mariulka [41]
-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h

So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
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divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.

So -9-8(1+4h) = -17 for h = 0.

You can recheck your answer (very important):
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The answer has been approved.

Hope this Helps! :)
5 0
3 years ago
Read 2 more answers
Apply the markup for each item. Then, find the retail price. Round to two decimals places when necessary.
Alborosie

Answer:

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Step-by-step explanation:


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3 years ago
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svetoff [14.1K]

Given:

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