The number of earthquakes that occur per week in California follows a Poisson distribution with a mean of 1.5. (a) What is the probability that an earthquake occurs within the first week? Show by hand and provide the appropriate R code. (b) What is the expected amount of time until an earthquake occurs? (c) What is the standard deviation of the amount of time until two earthquakes occur?
The number of earthquakes that occur per week in California follows a Poisson distribution with a
mean of 1.5.
(a) What is the
provide the appropriate R code.
(b) What is the expected amount of time until an earthquake occurs?
(c) What is the standard deviation of the amount of time until two earthquakes occur?
(d) What is the probability that it takes more than a month to observe 4 earthquakes? Show by hand
(you may simply leave it as an integral) and provide the appropriate R code.
Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.
Let X be the random variable that denotes the number of earthquakes per week in California.
Mathematically,
The probability mass function of X (the number of earthquakes per week in California) is:
Step by step
Solved in 4 steps
