Explanation In words: Here, the binomial random variable x is lies between 54 and 64. In a binomial distribution, the random variable denotes the number of success. Hence, the binomial probability P ( 54 < x < 64 ) can be represented in words as “probability of getting between 54 and 64 successes”. Continuity correction: The binomial probability is converted to a normal distribution probability by using the continuity correction. If the binomial probability represents “lies between c 1 and c 2 ” then the normal probability is P ( c 1 + 0.5 < x < c 2 − 0.5 ) for any numbers c 1 and c 2 . By using continuity correction, the value 0.5 is added to the value of 54 and subtracted from the value of 64

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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 5, Problem 5.5.68RE

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To write: The binomial probability P(54<x<64) in words.

To convert: The binomial probability to a normal distribution probability by using continuity correction.

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Chapter 5, Problem 5.5.67RE

Chapter 5, Problem 5.5.69RE

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Ch. 5.1 - Prob. 1TY Ch. 5.1 - Prob. 2TY Ch. 5.1 - Prob. 3TY Ch. 5.1 - Prob. 4TY Ch. 5.1 - Prob. 5TY Ch. 5.1 - Prob. 6TY Ch. 5.1 - Find three real-life examples of a continuous...Ch. 5.1 - In a normal distribution, which is greater, the...Ch. 5.1 - What is the total area under the normal curve?Ch. 5.1 - What do the inflection points on a normal...

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The binomial probability P ( 54 < x < 64 ) in words. To convert: The binomial probability to a normal distribution probability by using continuity correction.

Solution Summary: The author explains how the binomial probability is converted to a normal distribution probability by using continuity correction.

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To write: The binomial probability P(54<x<64) in words.

To convert: The binomial probability to a normal distribution probability by using continuity correction.

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Chapter 5 Solutions

The binomial probability P ( 54 &lt; x &lt; 64 ) in words. To convert: The binomial probability to a normal distribution probability by using continuity correction.

Solution Summary: The author explains how the binomial probability is converted to a normal distribution probability by using continuity correction.

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To write: The binomial probability P(54<x<64) in words. To convert: The binomial probability to a normal distribution probability by using continuity correction.

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Chapter 5 Solutions

The binomial probability P ( 54 < x < 64 ) in words. To convert: The binomial probability to a normal distribution probability by using continuity correction.

To write: The binomial probability P(54<x<64) in words.

To convert: The binomial probability to a normal distribution probability by using continuity correction.