Descriptive Statistics, Probability, Probability models, Discrete Radom Variables, Continuous Random Variables, Sampling and Sampling Distributions. 6. Suppose that the number of accidents occurring...

1 answer below »
Descriptive Statistics, Probability, Probability models, Discrete Radom Variables, Continuous Random Variables, Sampling and Sampling Distributions.


6. Suppose that the number of accidents occurring in an industrial plant is described by a Poisson distribution with an average of one accident per month. Let’s x denote the time (in months) between successive accidents. Find the probability that the time between successive accidents is:a. More than two months.b. Between one and two months.c. Less than one week (1/4 of a month).d. Suppose that an accident occurs less than one week after the plant’s mostrecent accident. Would you consider this event unusual enough to warrant special investigation? Explain.

Answered Same DayDec 25, 2021

Answer To: Descriptive Statistics, Probability, Probability models, Discrete Radom Variables, Continuous Random...

David answered on Dec 25 2021
122 Votes
1
It has stated in the question that number of accident occurred in an industrial plant is
descri
bed by Poisson distribution.
Average accidents = 1 accident per month
Time between successive accidents = X months
Now, (because x follows the exponential distribution)
Density function for x
( )

Where,
Now,
( )
, ( )
The respective distribution function for x
( ) ( )
= ...
SOLUTION.PDF

Answer To This Question Is Available To Download

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here