Answered: 1. When approximating the binomial and…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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1. When approximating the binomial and Poisson distribution with the normal distribution Why do we use the continuity correction for discrete random variables?

2. he number of calls X a customer support center receives in a day follows a Poisson distribution with mean of λ = 75 calls. Use the normal approximation with continuity correction to estimate the probability that the call center receives more than 70 calls and less than 90 calls

3. The manufacturing of semiconductor chips produces 3% defective chips. Assume that there are 1200 independent chips. Approximate the probability that defective chips are between 25 and 35 but not including 25.

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.

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