The mean and standard deviation of the students accepting the admissions offered from the college.

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Answer 1

Question

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.

Chapter 14.6, Problem 14.11AYK

(a)

To determine

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

(b)

To determine

To find: The approximate probability that the college gets more students than it is needed.

(c)

To determine

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).

(d)

To determine

To find: The largest number of students that the college can admit in order to obtain the exact probability of getting more students needed is no larger than 5%.

To check: Whether the probability of getting more students need could be decreased by increasing or decreasing by the number of students admitted.

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Answer 2

Question

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.

Chapter 14.6, Problem 14.11AYK

(a)

To determine

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

(b)

To determine

To find: The approximate probability that the college gets more students than it is needed.

(c)

To determine

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).

(d)

To determine

To find: The largest number of students that the college can admit in order to obtain the exact probability of getting more students needed is no larger than 5%.

To check: Whether the probability of getting more students need could be decreased by increasing or decreasing by the number of students admitted.

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Answer 3

Question

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.

Chapter 14.6, Problem 14.11AYK

(a)

To determine

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

(b)

To determine

To find: The approximate probability that the college gets more students than it is needed.

(c)

To determine

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).

(d)

To determine

To find: The largest number of students that the college can admit in order to obtain the exact probability of getting more students needed is no larger than 5%.

To check: Whether the probability of getting more students need could be decreased by increasing or decreasing by the number of students admitted.

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Answer 4

Question

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.

Chapter 14.6, Problem 14.11AYK

(a)

To determine

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

(b)

To determine

To find: The approximate probability that the college gets more students than it is needed.

(c)

To determine

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).

(d)

To determine

To find: The largest number of students that the college can admit in order to obtain the exact probability of getting more students needed is no larger than 5%.

To check: Whether the probability of getting more students need could be decreased by increasing or decreasing by the number of students admitted.

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Answer 5

Chapter 14.6, Problem 14.11AYK

(a)

To determine

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

(b)

To determine

To find: The approximate probability that the college gets more students than it is needed.

(c)

To determine

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).

(d)

To determine

To find: The largest number of students that the college can admit in order to obtain the exact probability of getting more students needed is no larger than 5%.

To check: Whether the probability of getting more students need could be decreased by increasing or decreasing by the number of students admitted.

Answer 6

Chapter 14.6, Problem 14.11AYK

(a)

To determine

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

Answer 7

Chapter 14.6, Problem 14.11AYK

(a)

To determine

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

Answer 8

(b)

To determine

To find: The approximate probability that the college gets more students than it is needed.

Answer 9

(b)

To determine

To find: The approximate probability that the college gets more students than it is needed.

Answer 10

(c)

To determine

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).

Answer 11

(c)

To determine

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).

Answer 12

(d)

To determine

To find: The largest number of students that the college can admit in order to obtain the exact probability of getting more students needed is no larger than 5%.

To check: Whether the probability of getting more students need could be decreased by increasing or decreasing by the number of students admitted.

Answer 13

(d)

To determine

To find: The largest number of students that the college can admit in order to obtain the exact probability of getting more students needed is no larger than 5%.

To check: Whether the probability of getting more students need could be decreased by increasing or decreasing by the number of students admitted.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 14.2 - Prob. 14.1AYK Ch. 14.2 - Prob. 14.2AYK Ch. 14.2 - Prob. 14.3AYK Ch. 14.2 - Prob. 14.4AYK Ch. 14.4 - Prob. 14.5AYK Ch. 14.4 - Prob. 14.6AYK Ch. 14.4 - Prob. 14.7AYK Ch. 14.5 - Prob. 14.8AYK Ch. 14.5 - Prob. 14.9AYK Ch. 14.6 - Prob. 14.10AYK

The mean and standard deviation of the students accepting the admissions offered from the college.

To find: The mean and standard deviation of the students accepting the admissions offered from the college.

To find: The approximate probability that the college gets more students than it is needed.

To find: The exact probability that the college gets more students than it is needed. To check: The approximation obtained in part (b).

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Chapter 14 Solutions

To find: The exact probability that the college gets more students than it is needed.

To check: The approximation obtained in part (b).