For each of these situations identify the appropriate distri

For each of these situations, identify the appropriate distribution to model the probability in question. You don\'t have to find the probability, just identify the distribution.( Discrete Uniform, Berloulli, Binomial, Poisson, Geometric, Negative Binomial)

a.) A town in California has an average of 1.2 earthquakes per month. What is the probability that there will be more than 4 earthquakes this month?

b.) Janice wants to be on Sat Night Live and will audition until she is successful. Each time Janice tries out, she has a .10 chance of succeeding. What is the probability that it will take Janice more than 10 tries?

c.) In order to make the basketball team, Larry has to shoot free-throws until he makes 7 free throws. What is the probability that it will take Larry more than 10 attempts to make 7 free throws?

d.) Leslie has a .35 chance of getting to the bus stop on time each day for work. For the 5 work days this week, what is the chance that Leslie will get to the bus stop on time at least 4 times?

Solution

a)This can be modelled by a discrete distribution by assigning probablities to the events { 1 earthquake occurs} ,{ 2 earthquakes occur} and so on.

b) Probability of getting success exactly after n-th time is given by the geometric distribution

c) This is given by the negative binomial distribution.

d) This is given by the binomial distribution