(A) If 250 scores are chosen from a normal distribution with mean 100 and standard deviation 10 , how many scores x would be expected to be greater than 110 ? (B) Use a graphing calculator to generate 250 cores from the normal distribution with mean 100 and standard deviation 10 . Determine the number of scores greater than 110 , and compare your results with the answer to part (A).
(A) If 250 scores are chosen from a normal distribution with mean 100 and standard deviation 10 , how many scores x would be expected to be greater than 110 ? (B) Use a graphing calculator to generate 250 cores from the normal distribution with mean 100 and standard deviation 10 . Determine the number of scores greater than 110 , and compare your results with the answer to part (A).
Solution Summary: The author calculates the number of scores that will be greater than 110 if 250 scores are chosen from a normal distribution.
(A) If
250
scores are chosen from a normal distribution with mean
100
and standard deviation
10
, how many scores xwould be expected to be greater than
110
?
(B) Use a graphing calculator to generate
250
cores from the normal distribution with mean
100
and standard deviation
10
. Determine the number of scores greater than
110
, and compare your results with the answer to part (A).
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Q9. If A and B are two events, prove that P(ANB) ≥ 1 − P(Ā) – P(B). [Note: This
is a simplified version of the Bonferroni inequality.]
Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 222 grams of protein and at least 162 grams of fat. If chicken costs 11¢ per ounce and grain costs 1¢ per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost? (If an answer does not exist, enter DNE.)
Q6. Consider a situation where cars entering an intersection could turn right, turn left,
or go straight. An experiment consists of observing two vehicles moving through
the intersection.
(a) How many sample points are there in the sample space? List them.
(b) Assuming that all sample points are equally likely, what is the probability that
at least one car turns left?
(c) Again assuming equally likely sample points, what is the probability that at
most one vehicle turns right?
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Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
College Algebra with Modeling & Visualization (5th Edition)
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