Questions
STAT0004_25-26 Monday Dec 8th ICA - ALL GROUPS (12:10-12:50)
Multiple fill-in-the-blank
Question text Let [math: X] have a Poisson distribution with mean 2.2. Answer the following questions about [math: X]. a. What is [math: P(X≤3)] to 2 decimal places? b. What is [math: P(X≥2)] to 2 decimal places? c. If [math: P(X≤y)<0.83] what is the maximum possible integer value of y? Answer 1 Question 8[input] Answer 2 Question 8[input] Answer 3 Question 8[input]
View Explanation
Verified Answer
Please login to view
Step-by-Step Analysis
We are given X ~ Poisson(λ = 2.2) and asked to evaluate three parts.
First, compute P(X ≤ 3).
- The Poisson probabilities are P(X = k) = e^(-λ) λ^k / k!. Let e^(-2.2) ≈ 0.110803.
- P(0) = e^(-2.2) ≈ 0.110803.
- P(1) = e^(-2.2) * 2.2 ≈ 0.110803 * 2.2 ≈ 0.243767......Login to view full explanationLog in for full answers
We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!
Similar Questions
位置47的问题 In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the _____.normal distributionPoisson distributionuniform distributionbinomial distribution
位置39的问题 The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3. The probability there are 8 occurrences in 10 minutes is 题库 1/1[input]. (Note: Round your answer to three decimal places.）
位置13的问题 A property of the Poisson distribution is that the mean equals the 题库 1/1[input].
In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the
More Practical Tools for Students Powered by AI Study Helper
Making Your Study Simpler
Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!