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1. A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.
a. In how many ways can this be done?
b. In how many ways can the group who will not take part will be chosen?
2. After studying all night for a final exam, a bleary eyed student randomly grabs 2 socks from a drawer containing 9 black, 6 brown, and 2 blue socks all mixed together. what is the probability that she grabs a matched pair?
3. Argue that the probability that in a group of n people exactly one pair have the same birthday is
Find the mean and standard deviation for the number of left-handed students in such classes of 25 students.
If there are 5 choices for a question and there is a 50% chance that the student knows the answer, what is the probability that the student knew the answer to a question he correctly answered?
From historical data, Harry's Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes.
The resistances of carbon resistors of 1500 ohm nominal value are normally distributed with µ = 1500 and standard deviation = 200. What proportion of resistors is expected to have resistance greater than 1150 ohm?
Follow the conventions as described in the general guidelines for writing up Special Problems.
Use either Linear Programming module or Transportation module of Cd to minimize the shipping costs involved in move.
The weekly salaries of teachers in one state are normally distributed with mean of $490 and standard deviation of $45. Determine the probability that a randomly selected teacher earns more than $525 per week?
A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall re..
A candy confectioner measures the weight of 30 pieces of candy and obtains a mean and standard deviation of 32.5 gms and 2.6 gms, respectively. Construct the 98% confidence interval for the population mean.
Which of the following is a major difference between the binomial and the hypergeometric distributions?
If you assume returns follow a normal distribution, which investment would give a better chance of getting at least a $40 million return? Explain how your answer could change if you knew returns followed a skewed distribution instead of a normal d..
These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?
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