Question

A batch of 85 machined parts contains 12 that do not conform to customer requirements. Define the random variable, determine the range of possible values and calculate the probabilities for each of the following options.

24 parts are randomly selected with replacement, what is the probability that at least 4 of them are nonconforming?

13 Parts are selected without replacement, what is the probability that exactly 6 of them are nonconforming?

Answer #1

Let the number of parts non-conforming is out of 24.

Then,

The probability that at least 4 of them are nonconforming is

Let the number of parts non-conforming is out of 13.

When 13 Parts are selected without replacement, what is the probability that exactly 6 of them are nonconforming is

A batch contains 38 bacteria cells. Assume that 12 of the cells
are not capable of cellular replication. Six cells are selected at
random, without replacement, to be checked for replication. Round
your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that all six cells of the selected
cells are able to replicate?
(b) What is the probability that at least one of the selected
cells is not capable of replication?

A box contains 4 defective and 2 good parts.
Two parts are selected from the box (without replacement), and it
is recorded whether the
selected part is defective or good.
The probability that the first selected part is defective and the
second selected part is good is
__________
The probability that exactly one good part is selected
is__________________
The probability that at least one defective part is selected is
_____________________

A batch of 125 lightbulbs contains 13 that are defective. If
you choose 8 at random
(without replacement), what is the probability that
(a) None are defective?
(b) Exactly one is defective?
(c) More than 2 are defective?
whats needed
1) Define a random variable in words. (e.g. X = number of
heads observed)
2) Specify the distribution of the random variable including
identifying the value(s) of any
parameter(s). (e.g. X ∼ Binomial(10, 5))
3) State the desired probability in...

Question 12 2 pts
Of the shirts produced by a company, 5% have loose threads, 9%
have crooked stitching, and 3.5% have loose threads and crooked
stitching. Find the probability that a randomly selected shirt has
loose threads or has crooked stitching.
Homework Help:
2VF (1): Probabilities using addition rule from values and
from percentages (Links to an external site.) (0:54)
2DG. Probabilities using addition rule (Links to an external
site.) (DOCX)
Group of answer choices
0.5%
14.0%
10.5%
17.5%...

A box contains four slips of paper marked 9, 10, 11, and 12. Two
slips are selected without replacement. List the possible values
for each of the following random variables shown below:
(a) x = sum of the two numbers
20, 21, 23, 24, 26
20, 22, 24, 26, 28
9, 10, 11, 12, 13
19, 20, 21, 22, 23
19, 21, 23, 25, 27
(b) y = difference between the first and second
numbers
-3, -1, 1, 3
-5,...

Q1.
Part a) A bag contains 12 marbles. There are 4 marbles that are
pink, 5 are purple, and 3 are blue. A marble is randomly pulled out
of the bag. What is the probability that the marble selected is
pink or blue? Round to 4 decimals.
Part b) A student randomly guesses on a 20 question true/false
test. What is the probability that the student guesses correctly on
15 of the questions? Round to 4 decimals.
Part c) A...

1. A random number generator is used to select a number from 1
to
500 ?(inclusively).
What is the probability of selecting the number 595
?
What is the probability?
2.Identify the sample space of the probability experiment and
determine the number of outcomes in the sample space.
-Randomly choosing an even number between 10 and 20,
inclusive
The sample space is?
(Use a comma to separate answers)
There are _____ outcomes in the sample space
3. Determine the number...

Compute each of the following probabilities. Label each problem
clearly and show all your work. Use the numbers you computed in
earlier parts of the project based on the class data set.
Problem 1: Suppose all of the Skittles in the class data set
are combined into one large bowl and you are going to randomly
select one Skittle.
(a) What is the probability that you select a green Skittle? (4
points)
(b) What is the probability that you select...

Do the following problems. 1. Each of three barrels from a
manufacturing line are classified as either above (a) or below (b)
the target weight. Provide the ordered sample space. 2. The heat on
each of two soldered parts is measured and labeled as either low
(l), medium (m), or high (h). State the number of elements in the
ordered sample space. 3. Consider the set of Beatles songs with a
primary writer as either Paul McCartney (P) or John...

Data
For Tasks 1-8, consider the following data:
7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5, 13.0, 3.2, -1.1,
7.0, 0.5, 3.9, 2.1, 4.1, 6.5
In Tasks 1-8 you are asked to conduct some computations
regarding this data. The computation should be carried out
manually. All the steps that go into the computation should be
presented and explained. (You may use R in order to verify your
computation, but not as a substitute for conducting the manual
computations.)
A Random...

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