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Let T have the exponential distribution with parameter lambda, and let Y=Sqroot(T).
A) Find the density of Y
B) find the expectation of Y, correct to two decimal places for lambda=3
C) A random number generator produces uniform [0,1] random numbers. How could you use these to generate random numbers which have the distribution of Y?
The Dean of Students believes that the costs are greater this semester. What is the test value for this hypothesis?
Professor Jennings claims that only 35% of the students at Flora College work while attending school. The dean thinks that the prof. has underestimated the number of students with part-time or full-time jobs.
If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, what percentage of light bulbs have a life less than 2500 hours?
Assume men's weights are normally distributed w/ a mean of 172 lb. and a s.d. of 29lb.
Based on data from a car bumper sticker study, when a car is randomly selected, the number of bumber stickers and corresponding probabilities are shown below.
After careful analysis, East West has determined the following cost breakdown for the four manufacturers (in $1,000's) based on whether or not the trade bill passes:
The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. The proportion of batteries with lifetimes exceeding 520 hours is approximately.
Let X1 and X2 denote the proportion of two different chemicals found in a sample mixture of chemicals and used as an insecticide. Suppose X1 and X2 have the joint probability density function given by:
A busy landscaping supplies company sells wood chips for garden mulch. The mulch is sold by the cubic metre and delivered to households in a small truck.
Suppose the inspector is unhappy with the previous result and would like to resample. How many rolls should be sampled to estimate the mean tensile strength within 1.5 PSI with 95% confidence?
According to the regional bar assoc., 60% of people who take the bar exam pass. Find the approximate probability that at least 61% of 200 randomly selected people taking the bar will pass. Round to three decimal places as needed.
Genetics of peas. According to genetic theory, the blossom colour in the second generation of the certain cross of sweet peas should be red or white in a 3:1 ratio. That is, each plant has probability 3/4 of having red blossoms, and the blossom co..
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