Math Answers

A population consists of the four numbers 1, 2, 4 and 5. List all the possible samples of size n = 3

which can be drawn with replacement from the population.

A factory produces fuse. The probability of selecting a defective fuse is 0.045. A sample of 15 fuses were selected. Calculate the probability of getting 12 non defective fuses

The probability of getting a defective bottle from a manufacturer is 0.05. A sample of 10 bottles were selected. Calculate the probability of getting 2 defective bottles.

A random sample of 200 travel insurance policies contain 29 of which the policy holders made claims in their most recent year of cover. Calculate a 99% confidence intervel for the proportion of policyholders who makes claims in a given year of cover.

A random sample of size n=36 has a standard deviation of 7. Calculate approximately that the mean of this sample is greater than 44.5. While the mean of the population is 42

A manufacturer produces fuses. The percentage of non defective fuses is 0.96. A sample of 100 fuses was selected. Use normal approximation to binomial distribution to find the probability of selecting more than 6 defective fuses

The mwan numbers of cars passing at a junction is 50. The passage of cars follow a Poisson distribution. Find the probability of less than 40 cars passing.

Cliams on a gruop of people rise randomly and independently of each other through time at an average rate of 2 per month. Calculate the probability that 30 claims arise in a period of one year

solve the initial value problem y''-4y'+4y=64sin2t for y(0)=0 and y'(0)=1

Sample means from a infinite population

A population has mean of 60 and a standard deviation of 5. A random sample of 16 

measurements is drawn this population. Describe the sampling distribution of the 

sample mean by computing its mean and standard deviation