5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table. Bin(6,0.5) P(x <= 5) = Σ = 0.882 5 6 $($.•.· 0 0.7 (1–0.7)¹² 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 pla 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) = Σ = 0.882 5 6 $($.•.· 0 0.7 (1–0.7)¹² 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 pla 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...
Related questions
Question
![5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table.
Bin(6,0.5)
5
P(x <= 5) = $60.7¹ (1-0.7)¹²-
= 0.882
0
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fece3d40f-e8f0-464a-aada-c18e494e1994%2F17b8f5a6-74c8-4811-8292-79c4803a922f%2Fuxnkfm_processed.png&w=3840&q=75)
Transcribed Image Text:5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table.
Bin(6,0.5)
5
P(x <= 5) = $60.7¹ (1-0.7)¹²-
= 0.882
0
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 9 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Similar questions
Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)