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Let v be the speed, in meters per second, of an oxygen molecule, and let p(v) be the density function of the speed distribution of oxygen molecules at room temperature. Maxwell showed that p(v)= av
The authorities conducting the examination realized that it was possible to pass by guessing answers, and they decided to fix a maximum number of attempts a student may make. What number of attempts
Math help, Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of $3500 to drill a well regardless of its depth. Company B charges $1000 plus $12 per foot to drill a well
The security Council has 11 members, with the USA , Russia, China, France and the UK as permanent members. If at a meeting the members are seated at random, find the probability that the UK and Fren
"The Poisson distribution can be a reasonable approximation of the binomial distribution." Explain why this may/may not be true.
To determine the health benefits of walking, researchers conduct a study in which they compare the cholesterol levels of women who walk at least 10 miles per week to those of women who do not exerci
A manufacturer claims that the batteries it makes will last 18 hours, with a standard deviation of 1.5 hours. If the durations of the batteries are normally distributed, what proportion of batteries
A survey finds that 55 people out of 170 favor increasing property taxes to help pay for a new library. If this data is used to estimate the population proportion who favor new taxes, the standard e
Suppose a population consists of n pairs of people, meaning there 2n people in the population. Suppose k of the people die. What is the expected number of remaining couples?
A student in the concrete lab places 5 low-strength concrete test cylinders (3500 PSI) with a batch of 8 high-strength concrete test cylinders (8000 PSI). If 5 cylinders are tested, what is the prob
You are invited to play the following game. You may repeatedly roll a fair six-sided die unless you roll a one, at which point you must stop, but you may also elect to stop at any point.
A pair of dice is rolled 270 times. Using the normal curve approximation, what is the probability that a total of 7 occur:
A pair of dice is rolled 270 times. using the normal curve approximation, what is the probability that a total of 7 occurs?
Find the joint probability density of the two random variables x and y whose joint distrubution function is given by :
Describe what is meant by a binomial experiment. How do binomial experiments apply to each of the four probability distributions covered in Chapter 3?
Suppose a previous study has shown the sample standard deviation of a particular model of automobile to be 3.12 mpg. How large a sample is necessary to estimate the mean miles per gallon to within 0
A company makes electric motors. The probability an electric motor is defective is 0.01. What is the probability that a sample of 300 electric motors will contain exactly 5 defective motors?
Scores on an endurance test for cardiac patients are normally distributed with mean = 200 and standard deviation = 30.
The average height of a random sample of 2000 women is 64 inches, with a standard deviation of two inches. What probability distribution most likely applies here?
Personnel tests are designed to test a job applicant's cognitive and/or physical abilities. A particular dexterity test is administered nationwide by a private testing service. It is known that for
What is the probability that one random selected will last more than 7 days? What is the prob that the mean lifetime of 5 bouquets will be less than 5 days? As the sample size increases will the stana
What is the x(alpha/2) critical value that wouls be used to create a 97% confidence level for the true proportion of tax returns with serious errors?
A population variance 34. What is the standard deviation ? What if n= 14 what would be the standard deviation of the mean?
As their sample size increases, what's the expected shape of the distribution of amounts purchased in the sample? As the sample size increases, what's the expected shape of the sampling model for the
Suppose a highlighter manufacturer wanted to find out whether a highlighter lasted longer than the claim of 14 continuous hours. They tested 40 highlighters and recorded the number of continuous hou