5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table. Bin(6,0.5) P(x <= 5) = = 0.882 5 6 0 X 1–0.7)¹²-x b) Let X be Bin(7,0.5). Find P(2 < X<5). Use either the formula or the table. P(2 < X < 5) = F(4) – F(2) = 0.773-0.227 = 0.546 c) Let X be Poisson (5). Find P(3 < X < 6). Use the formulas. Round off your answer to 3 decimal places P(3 < X < 6) = P(4)+ P(5) = 0.351
5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table. Bin(6,0.5) P(x <= 5) = = 0.882 5 6 0 X 1–0.7)¹²-x b) Let X be Bin(7,0.5). Find P(2 < X<5). Use either the formula or the table. P(2 < X < 5) = F(4) – F(2) = 0.773-0.227 = 0.546 c) Let X be Poisson (5). Find P(3 < X < 6). Use the formulas. Round off your answer to 3 decimal places P(3 < X < 6) = P(4)+ P(5) = 0.351
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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Transcribed Image Text:5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table.
Bin(6,0.5)
P(x <= 5) =
= 0.882
5 6
0 X
1–0.7)¹²-x
b) Let X be Bin(7,0.5). Find P(2 < X<5). Use either the formula or the table.
P(2 < X < 5) = F(4) – F(2) = 0.773-0.227 = 0.546
c) Let X be Poisson (5). Find P(3 < X < 6). Use the formulas. Round off your answer to 3 decimal places
P(3 < X < 6) = P(4)+ P(5) = 0.351
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