Question
Asked Jan 17, 2020
2 views

Roughly speaking, you can use the Poisson probability formula to approximate binomial probabilities when n is large and p is small (i.e., near 0). Explain how to use the Poisson probability formula to approximate binomial probabilities when n is large and p is large (i.e., near 1).

check_circle

Expert Answer

Step 1

Poisson probability formula to approximate binomial probabilities when n is large and p is large:

Step 2

The probability mass function for Binomial distribution is,

Statistics homework question answer, step 2, image 1
fullscreen
Step 3

The Poisson distribution is approximated with parameter π=np.

 

The...

Statistics homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Births: Sampling Distribution of Sample Proportion When three births are randomly selected, the samp...

A: Consider the births as b, and g, where, b means ‘boy’ and g means ‘girl’.The three births are random...

question_answer

Q: Random Digits Computers are commonly used to randomly generate digits of telephone numbers to be cal...

A: A nonstandard normal distribution cannot be used because the randomly generated digits themselves do...

question_answer

Q: Regarding conditional probability: a. What is it?b. Which event is the “given event”?

A: a)Conditional probabilityThe probability that event B occurs given that event A occurs is called con...

question_answer

Q: Critical Values. In Exercises 41–44, find the indicated critical value. Round results to two decimal...

A: From the given information, the confidence level is 0.10.The critical value is obtained as 1.28 by t...

question_answer

Q: Suppose that A and B are events such that P(A) = 0.75 and P(A&B) = 0.25. Determine P(B| A).

A: The formula for conditional probability is,

question_answer

Q: Months If a month is randomly selected after mixing the pages from a calendar, what is the probabili...

A: Let event A denote thatgetting a month containing the letter y.The months containing letter y are ‘J...

question_answer

Q: Construct a Venn diagram that portrays four events,A,B,C, and D that have the following properties: ...

A: The Venn diagram is constructed using the following properties:Events A, B, and C are mutually exclu...

question_answer

Q: Assume Y=1​+X+u​, where X​, Y​, and ​u=v+X are random​ variables, v is independent of X​; E(v​)=0, V...

A: According to the provided data, Y=1+X+u where X, Y, and u=v+X are the random variables. It is mentio...

question_answer

Q: Requirements A quality control analyst has collected a random sample of 12 smartphone batteries and ...

A: Given that,Random sample of 12 smartphone batteries