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 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.

QUESTION 5- A factory produces pins of which 1.5% are
defective. The components are packed in boxes of 12. A box is
selected at random.
(1) n =
(2) p = (Round to four decimal places)
(3) q = (Round to four decimal places)
Find the following probabilities (Round ALL answers to four
decimal places):
4) The box contains exactly 6 defective pins
5) The box contains at least one defective pins
6) The box contains no more than two...

In a certain factory, Machine A makes 50% of the components,
with 1 in 15 being defective. Machine B produces 25%, with 1 in 10
being defective. Machine C produces the rest, with 1 in 20 being
defective.
(a) Complete the probability table for this scenario using the
given template.
(b) What is the probability that a defective component is
produced?
(c) If a component is selected at random and found to be
defective, what is the probability it was...

Ceramics in a factory are manufactured in lots of 200 and 3% are
defective. Assume the pieces are independent. Use the normal
approximation to the binomial with the continuity correction to
find the probability more than 10 are defective.
0.031 (Correct)
And, use the normal approximation to the binomial with the
continuity correction to find the probability there are between 4
and 8 defects, inclusive.
0.5832 (incorrect)
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
defective?

a factory produces the same number of good and defective
products, 3 are selected randomly and are inspected. what are the
odds of obtaining:
1) 2 defective products
2) at most 2 defective products
3) no defective products
4) at least 1 defective product
5) 3 defective products

In a factory, computer hard drives are collected in boxes
containing 40 hard drives each. A box has 6 defective hard drives,
and 34 hard drives which are not defective. A quality control
inspector randomly selects 3 hard drives in that box. Consider the
discrete random variable X defined as the number of defective hard
drives the inspector selects. Find the probability mass function pX
of X. Sketch the corresponding cumulative distribution function
F

A box consists of 16 components, 6 of which are
defective.
(a)
Components are selected and tested one at a time, without
replacement, until a non-defective component is found. Let
X be the number of tests required. Find
P(X = 4).
(b)
Components are selected and tested, one at a time without
replacement, until two consecutive non defective
components are obtained. Let X be the number of tests
required. Find P(X = 5).

One factory produces 20 identical pencils per minute, 3 of which
come out defective. A
worker makes a random choice by drawing two pencils. Find as
follows;
(a) Which are the values of the Variable X (random choice)?
(b) Find the probability of the Random Variable X (the
probabilistic distribution f(x) for the
number of defectives). Construct the proper table.
(c) Find the discrete distribution function F(x) of discrete random
variable X with probabilistic
distribution f (x). Construct the proper...

A tray of electronic components contains 22 components, 4 of
which are defective. If 4 components are selected, what is the
possibility of each of the following? (Round your answers to five
decimal places.)
(a) that all 4 are defective
(b) that 3 are defective and 1 is good
(c) that exactly 2 are defective
(d) that none are defective

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