Discuss the below:
Q1)A contractor is considering a project which he estimates will yield a $160,000 profit with a probability of 65% and a loss of $50,000 with a 35% probability due to poor weather and material issues. What is his expected (value) profit?
Q2) CSI has a 20 share meaning that while it is being broadcast, 20% of the TV sets are tuned to CSI. A focus group consisting of 14 randomly selected households(each with 1 TV set), find the following for such groups of 14:
A) The mean number of TV sets tuned to CSI
B) The variance and standard deviation for TV sets tuned to CSI
C) What is the probability of exactly 4 TV sets being tuned to CSI
D) What is the probability of at least 5 sets being tuned to CSI.
Q3) Currently an average of 11 residents of Mooseport die each year from a population of 935. Use the Poisson Distribution formula to:
A) Find the mean number of deaths per day
B) Find the probability that on a given day there are no deaths.
C) Find the probability that on a given day, there is exactly 1 death.
D)Find the probability that on a given day, there is more than 1 death.