Question

A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random.

a) Find the probability that there are at most 2 defective components in the box.

b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.

Answer #1

a.

b.

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A factory produces components of which 1% are defective. The
components are packed in boxes of 10. A box is selected by
random.
a) Find the probability that there are at most 2 defective
components in the box.
b) Use a suitable approximation to find the probability of
having at most 3 defective (inclusive 3 cases) components out of
250.

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(1) n =
(2) p = (Round to four decimal places)
(3) q = (Round to four decimal places)
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I try the second question but my answer is in correct.

1. Suppose that a shipment of 120 electronics components
contains 10 defective components. If the control engineer selects 6
of these components at random and test them
a. What is the probability that exactly 3 of those selected are
defective? What is the probability that exactly 4 of those selected
are not defective?
b. What is the probability that at least 3 of those selected are
defective?
c. What is the probability that fewer than 4 selected are not
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a factory produces the same number of good and defective
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2) at most 2 defective products
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