In: Statistics and Probability

There are seven photocopiers, and three of these photocopiers are defective. The buyer begins to test them one at a time to figure out which three are defective.

e. Given that exactly one of the defective photocopiers was found within the first three tests, what is the probability that the other two defective photocopiers are found within the next three tests?

f. Given that exactly two of the defective photocopiers were found within the first three tests, what is the probability the last defective photocopier is found within the next two tests?

g. Given that exactly two of the defective photocopiers were found within the tests 1, 3, 5, what is the probability the other defective photocopier was found on tests 6 or 7?

h. Given the last defective photocopier was found within the last two tests, what is the probability that the first two defective photocopiers were found within the first three tests?

One buyer claims that 10% of 400 products are defective.
The manufacturer says that 2% of the products may be
defective.
50 products will be checked.
Let the random variable be the number of broken out of the 50
items checked.
If X> c, accept what the buyer says.
if X < c, Accept what the manufacturer says.
Determine the number c in this decision rule so that when the
buyer says it is true, the probability of rejection due...

Suppose that two defective refrigerators have been included in a
shipment of eight refrigerators. The buyer begins to test the eight
refrigerators one at a time. Let the random variable Y represent
the number of defective refrigerators found after three
refrigerators have been tested. Compute the probability
distribution of Y.
I did a similar problem to this but worked out a sample space
etc. and solved for certain probabilities however what confused me
then and what confuses me now is...

Question 8 A factory uses a diagnosis test whether a part is
defective or not. This test has a 0.90
probability of giving a correct result when applied to a defective
part and a 0.05 probability
of giving an incorrect result when applied to a non-defective part.
It is believed that one
out of every thousand parts will be defective.
(a) Calculate the posterior probability that a part is defective if
the test says it is defec-
tive.
(b) Calculate...

T- Test:
Seven tomato plants were treated with chlorogenic acid (and
seven control plants were not treated) to determine if this acid
influences the activity of the enzyme o-diphenol oxidase in their
leaves which is normally 13 units. The enzyme activity data are
presented below. Does this treatment affect enzyme activity?
TREATED – 35 45 36 11 41 29 38
Show all work please

Caution: One sided t-test begins with the
investigation of Averages. Only if the Averages are in agreement
with the assertion do we use Excel to compute p-value. If Averages
are not in agreement, the test is automatically deemed inconsistent
and no p-value is computed.
It is commonly believed that men older than 40 are heavier than
170 pounds. Use ManBody (
https://www.limes.one/Content/DataFiles/ManBody.xlsx ) Data and
your statistical expertise to answer the questions: Is this a
reasonable belief?
1. What test/procedure...

1.A manufacturer claims that fewer than 6% of its fax machines
are defective. To test this claim,
he selects a random sample of 97 such fax machines and finds that
5% are defective.
Find the P-value for the test of the manufacturer's claim.
Group of answer choices
a. 0.1591
b. 0.3630
c. 0.3264
d. 0.1736
2.
Suppose you want to test the claim that μ ≠ 3.5. Population
standard deviation is known.
Given a sample size of n = 47...

In a gross (144) of transistors, there are 2 defective ones.
Three (3) transistors are selected randomly. a. what is the number
of ways one can select exactly one defective transistor among the
three? b. what is the probability of selecting exactly one
defective transistor among the three?

A
shipment of 13 microwave ovens contains for defective units. A
restaurant buys three of these units. What is the probability of
the restaurant by at least 2 non defective units? The probability
of the restaurant buying at least 2 nondefective units is

5. A shipment of 50 light bulbs contains 10 defective light
bulbs. In order to test the quality of the shipment, a quality
control engineer selects 5 light bulbs at random.
(a) How many different samples are possible?
(b) What is the probability the engineer will select exactly two
defective light bulbs?
(c) The shipment will be rejected if at least one of the light
bulbs in the sample is defective. What is the probability the
sample will be rejected?...

A test will be conducted to see how long a seven-ounce tube of
toothpaste lasts. The researcher wants to establish that the mean
time is greater than 30.5 days. From a random sample of size 75,
and investigator obtains y ̄ = 32.3 and s = 6.2 days.
(a) (5 points) Formulate the null and alternative hypotheses.
(b) (5 points) Determine the test statistic.
(c) (5 points) Give the form of the rejection region.
(d) (5 points) What is the...

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