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An insurance company insures 4,000 people against loss of both eyes in a car accident. Based on
previous data, the rates were computed on the assumptions that on the average 10 persons in
1,00,000 will have car accident each year that result in this type of injury. What is the probability
that more than 3 of the insured will collect on their policy in a given year?
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or 7? (Your answer must be in the form of a reduced fraction.)
A large population consist of equal numbers of the digits 1 and 3.
Find the mean and variance of this population
Expensive test borings were made in an oil shale area to determine if the mean yield of oil per ton of shale rock is greater than 4.5 barrels. To check it a random sample of 5 borings made with mean 4.9 and standard deviation 0.64 barrels. Perform test of hypothesis at 5% level of significance?
1. Ben has determined that the length of time it takes him to commute from his residence to school is normally distributed with a mean of 45 minutes and a standard deviation of 5 minutes. How much time must he allow if he wishes to be in his first class on time 90% of the time?
Canning Town is a blue-collar borough in London, where the borough council tries to squeeze every penny out of the residents. The council set up cameras to observe the parking images in the streets. The records show that 15% of vehicle owners park without pay.
a.What is the likelihood that 3 or 4 vehicles are parked without pay if a random sample of 10 parking images are selected
b.Calculate the probability that no less than 2 vehicles are parked without pay if 20 parking images are randomly selected.
c. What is the mean (average) number of vehicles that are parked without pay, when one hundred parking images are randomly selected
3.2 The N3 highway is one of the important links between Durban and Johannesburg. A road maintenance company found that there are, on average, 8 potholes per every 10km.
a.What is the probability that there are 48 potholes per given 60km
b.What is the standard deviation of the number of potholes in the total length of N3 that is around 570km
A box of a dozen eggs contains 7 good eggs and 5 bad eggs. Mr. Thomas Cook is preparing breakfast for his family - one wife and two kids. He plans to cook an egg for each one of them plus some bacon. He randomly selects 4 eggs from the box and sets these aside in a bowl.
a. Determine the probability distribution function of the number of good eggs contained in the bowl.
b. What is the probability that the bowl contains at most one bad egg?
c. What is the probability that Mr. Cook will have to get eggs from the box again?
Find class boundaries, midpoint, and width for the class 18.6-21.0
