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...

See similar textbooks