Devry MATH225 Week 4 Assignment Distribution with Probability Rules Latest 2019 JULY Question # 00603513 Subject: Mathematics Due on: 08/08/2019 Posted On: 08/08/2019 08:48 AM Tutorials: 1 Rating: 4.9/5

MATH225 Statistical Reasoning for the Health Sciences

Week 4 Assignment Distribution with Probability Rules

Question A
roulette wheel has 38 slots, numbered 1 to 36, with two additional green slots
labeled 0 and 00. Jim, a dealer at a roulette table, tests the roulette wheel
by spinning a ball around the wheel repeatedly and seeing where the ball lands.
The ball has an equally likely chance of landing in each slot. If Jim spins the
ball around the wheel 25 times, what is the probability that the ball lands in
a green slot at most twice? Use Excel to find the probability.

Question A database system assigns a
32-character ID to each record, where each character is either a number from 0
to 9 or a letter from A to F. Assume that each number or letter being selected
is equally likely. Find the probability that at least 20 characters in the ID
are numbers. Use Excel to find the probability.

Question Kevin
works for a company that manufactures solar panels. In a large batch of solar
panels, about 1 in 200 is defective. Suppose that Kevin selects a random sample
of six solar panels from this batch. What is the probability that none of the
solar panels are defective? Use Excel to find the probability.

• Round your answer to three decimal
places.

Question Alex
wants to test the reliability of “lie detector tests,” or polygraph tests. He
performs a polygraph test on a random sample of 12 individuals. If there is
more than a 50% chance that the tests result in no false positives (that is,
the test does not result in a true statement being recorded as a lie), Alex
will conclude that the tests are reliable. If the probability of a lie detector
test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel
to find the probability, rounding to three decimal places.

Alex will
conclude that the test is reliable since the probability of no false positives
is less than 0.5.

Alex will conclude that the test is not
reliable since the probability of no false positives is greater than 0.5.

Alex will conclude that the test is not
reliable since the probability of no false positives is less than 0.5.

Alex will conclude that the test is reliable
since the probability of no false positives is greater than 0.5.

Question A
computer graphics card manufacturer is testing an improvement to its production
process. If a sample of 100 graphics cards manufactured using the new process
has a less than 10% chance of having 3 or more defective graphics cards, then
the manufacturer will switch to the new process. Otherwise, the manufacturer
will stay with its existing process. If the probability of a defective graphics
card using the new process is 0.9%, will the manufacturer switch to the new
production process?

Yes,
because the probability of having 3 or more defective graphics cards is greater
than 0.10.

Yes, because the probability of having 3 or
more defective graphics cards is less than 0.10.

No, because the probability of having 3 or
more defective graphics cards is less than 0.10.

No, because the probability of having 3 or
more defective graphics cards is greater than 0.10.

Question Kelsey,
a basketball player, hits 3-point shots on 38.1% of her attempts. If she takes
14 attempts at 3-point shots in a game, what is the probability that she hits
exactly six of them? Use Excel to find the probability.