Question

Glass bottles are made by depositing melted glass in a mold. The melted glass is prepared in containers covered with a certain material that, as it wears, deposits particulate in the glass. This particle appears as defects in the finished parts. If we can assume that these defects appear randomly at a rate of 0.3 defects per bottle, What is the probability that a randomly selected bottle contains at least one defect? If we inspect 25 bottles, what is the probability of finding at least 3 defects in total? What is the expected number of total defects in 25 bottles? What does this value mean? If we inspect 25 bottles, what is the probability that he finds exactly 20 without defect?

Answer #1

A soft drink bottler purchases glass bottles from a vendor. The
bottles are required to have an internal pressure of at least 150
pounds per square inch (psi). A prospective bottle vendor claims
that its production process yields bottles with a mean internal
pressure of 157 psi and a standard deviation of 3 psi. The bottler
strikes an agreement with the vendor that permits the bottler to
sample from the production process to verify the claim. the bottler
randomly selects...

A soft drink bottler purchases glass bottles from a vendor. The
bottles are required to have an internal pressure of at least 90
pounds per square inch (psi). A prospective bottle vendor claims
that its production process yields bottles with a mean internal
pressure of 97 psi and a standard deviation of 3.4 psi. The bottler
strikes an agreement with the vendor that permits the bottler to
sample from the production process to verify the claim. The bottler
randomly selects...

A soft drink bottler purchases glass bottles from a vendor. The
bottles are required to have an internal pressure of at least 96.5
pounds per square inch (psi). A prospective bottle vendor claims
that its production process yields bottles with a mean internal
pressure of 97.1 psi and a standard deviation of 5 psi. The bottler
strikes an agreement with the vendor that permits the bottler to
sample from the production process to verify the claim. The bottler
randomly selects...

1.A fair die is rolled once, and the number score is noted.
Let the random variable X be twice this score. Define the variable
Y to be zero if an odd number appears and X otherwise. By finding
the probability mass function in each case, find the expectation of
the following random variables:
Please answer to 3 decimal places.
Part a)X
Part b)Y
Part c)X+Y
Part d)XY
——-
2.To examine the effectiveness of its four annual advertising
promotions, a mail...

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