For X ∼Bin(100, 1/3 ), set up, but do not calculate, expressions that approximatethe following probabilities. The expressions must be of the form P (z1 ≤ Z ≤ z2) whereZ ∼ N (0, 1):(a) P (30 ≤ X ≤ 35)(b) P (90 ≤ X ≤ 100)

For X ∼Bin(100, 1/3 ), set up, but do not calculate, expressions that approximatethe following probabilities. The expressions must be of the form P (z1 ≤ Z ≤ z2) whereZ ∼ N (0, 1):(a) P (30 ≤ X ≤ 35)(b) P (90 ≤ X ≤ 100)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

For X ∼Bin(100, 1/3 ), set up, but do not calculate, expressions that approximate
the following probabilities. The expressions must be of the form P (z1 ≤ Z ≤ z2) where
Z ∼ N (0, 1):
(a) P (30 ≤ X ≤ 35)
(b) P (90 ≤ X ≤ 100)

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