Suppose X~Bin(100, ¹). (a) Compute the exact value for P(X ≤ 90). (Hint: you need to use the pbinom () function in R) (b) If you use a normal distribution to approximate the binomial distribution, what would the normal distribution be? That is, you need to figure out the mean and variance of the normal distribution. (Hint: recall the formulas for the expected value and variance of a binomial random variable.) (c) Using the normal distribution you obtained part (b), estimate P(X < 90). (Hint: you need to use the pnorm () function in R.)
Suppose X~Bin(100, ¹). (a) Compute the exact value for P(X ≤ 90). (Hint: you need to use the pbinom () function in R) (b) If you use a normal distribution to approximate the binomial distribution, what would the normal distribution be? That is, you need to figure out the mean and variance of the normal distribution. (Hint: recall the formulas for the expected value and variance of a binomial random variable.) (c) Using the normal distribution you obtained part (b), estimate P(X < 90). (Hint: you need to use the pnorm () function in R.)
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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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