At a chocolate company, on average 5 chocolate are poisonous which makes children sick. a. What is the probability that exactly 8 children will become sick after taking the chocolate?   b. What is the probability that at least 3 children will be sick?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...
icon
Related questions
Topic Video
Question

At a chocolate company, on average 5 chocolate are poisonous which makes children sick.

a. What is the probability that exactly 8 children will become sick after taking the chocolate?
 
b. What is the probability that at least 3 children will be sick?
Expert Solution
Step 1

Given: Average 5 chocolate are poisonous which makes children sick means λ = 5.

The pmf of poisson distribution is:

PX=x=e-λλxx!where,x = 0,1,2,...e = 2.17828,λ = long run average.

 

 

Step 2

a.

PX=8=e-5588!=0.06528

The probability that exactly 8 children will become sick after taking the chocolate is 0.06528.

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning