MATH221 WEEK 4 HOMEWORK
ACTUAL EXAM 2026/2027 WITH 415
QUESTIONS AND VERIFIED
CORRECT ANSWERS | ALREADY
GRADED A+ | GUARANTEED
SUCCESS | MATH 221 LATEST EXAM
A stock's price fluctuations are approximately normally distributed with a mean of
$26.94 and a standard deviation of $3.54. You decide to sell whenever the price
reaches its highest 20% of values. What is the highest value you would still hold
the stock? - ANSWER-$29.92
Hospital waiting room times are normally distributed with a mean of 38.12 minutes
and a standard deviation of 8.63 minutes. What is the shortest wait time that would
still be in the longest 15% of wait times? - ANSWER-47.06 minutes
The length of timber cuts are normally distributed with a mean of 95 inches and a
standard deviation of 0.52 inches. In a random sample of 30 boards, what is the
probability that the mean of the sample will be between 94.7 inches and 95.3
inches? - ANSWER-0.998
Of all the companies on the New York Stock Exchange, profits are normally
distributed with a mean of $6.54 million and a standard deviation of $10.45
million. In a random sample of 73 companies from the NYSE, what is the
, probability that the mean profit for the sample was between -2.8 million and 3.9
million? - ANSWER-0.015
The length of time a person takes to decide which shoes to purchase is normally
distributed with a mean of 8.54 minutes and a standard deviation of 1.91. Find the
probability that a randomly selected individual will take less than 6 minutes to
select a shoe purchase. Is this outcome unusual? - ANSWER-Probability is 0.09,
which is usual as it is not less than 5%
In a health club, research shows that on average, patrons spend an average of 42.5
minutes on the treadmill, with a standard deviation of 5.4 minutes. It is assumed
that this is a normally distributed variable. Find the probability that randomly
selected individual would spent between 30 and 40 minutes on the treadmill. -
ANSWER-0.31
A tire company measures the tread on newly-produced tires and finds that they are
normally distributed with a mean depth of 0.99mm and a standard deviation of
0.35mm. Find the probability that a randomly selected tire will have a depth less
than 0.31mm. Would this outcome warrant a refund (meaning that it would be
unusual)? - ANSWER-Probability of 0.03 and would warrant a refund
In an agricultural study, the average amount of corn yield is normally distributed
with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5
bushels of corn. If a study included 1200 acres, about how many would be
expected to yield more than 206 bushels of corn per acre? - ANSWER-226 acres
On average, the parts from a supplier have a mean of 31.8 inches and a standard
deviation of 2.4 inches. Find the probability that a randomly selected part from this
supplier will have a value between 29.4 and 34.2 inches. Use the Empirical Rule of
68%-95%-99.7%. - ANSWER-Probability is 0.68
ACTUAL EXAM 2026/2027 WITH 415
QUESTIONS AND VERIFIED
CORRECT ANSWERS | ALREADY
GRADED A+ | GUARANTEED
SUCCESS | MATH 221 LATEST EXAM
A stock's price fluctuations are approximately normally distributed with a mean of
$26.94 and a standard deviation of $3.54. You decide to sell whenever the price
reaches its highest 20% of values. What is the highest value you would still hold
the stock? - ANSWER-$29.92
Hospital waiting room times are normally distributed with a mean of 38.12 minutes
and a standard deviation of 8.63 minutes. What is the shortest wait time that would
still be in the longest 15% of wait times? - ANSWER-47.06 minutes
The length of timber cuts are normally distributed with a mean of 95 inches and a
standard deviation of 0.52 inches. In a random sample of 30 boards, what is the
probability that the mean of the sample will be between 94.7 inches and 95.3
inches? - ANSWER-0.998
Of all the companies on the New York Stock Exchange, profits are normally
distributed with a mean of $6.54 million and a standard deviation of $10.45
million. In a random sample of 73 companies from the NYSE, what is the
, probability that the mean profit for the sample was between -2.8 million and 3.9
million? - ANSWER-0.015
The length of time a person takes to decide which shoes to purchase is normally
distributed with a mean of 8.54 minutes and a standard deviation of 1.91. Find the
probability that a randomly selected individual will take less than 6 minutes to
select a shoe purchase. Is this outcome unusual? - ANSWER-Probability is 0.09,
which is usual as it is not less than 5%
In a health club, research shows that on average, patrons spend an average of 42.5
minutes on the treadmill, with a standard deviation of 5.4 minutes. It is assumed
that this is a normally distributed variable. Find the probability that randomly
selected individual would spent between 30 and 40 minutes on the treadmill. -
ANSWER-0.31
A tire company measures the tread on newly-produced tires and finds that they are
normally distributed with a mean depth of 0.99mm and a standard deviation of
0.35mm. Find the probability that a randomly selected tire will have a depth less
than 0.31mm. Would this outcome warrant a refund (meaning that it would be
unusual)? - ANSWER-Probability of 0.03 and would warrant a refund
In an agricultural study, the average amount of corn yield is normally distributed
with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5
bushels of corn. If a study included 1200 acres, about how many would be
expected to yield more than 206 bushels of corn per acre? - ANSWER-226 acres
On average, the parts from a supplier have a mean of 31.8 inches and a standard
deviation of 2.4 inches. Find the probability that a randomly selected part from this
supplier will have a value between 29.4 and 34.2 inches. Use the Empirical Rule of
68%-95%-99.7%. - ANSWER-Probability is 0.68
