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Find the conditional probability mass function of the number of cars that arrive between 11:15am and 11:25am given that 600 cars arrive between 11:00am and 12:00pm.
Can we use the Normal approximation to the binomial distribution to find the probability of finding more than 5 defective items in the sample of 100?
Suppose that scores on the Math SAT exam follow a Normal distribution with mean 500 and standard deviation 100. Two students that have taken the exam are selected at random. What is the probability
Given that the size of the sample is extremely large, can this sample size compensate for a poor method of sampling? What valid conclusion can be made from the sample results? Based on the sample res
Construct a cross-tabulation to examine the relationships between the two nominal/ordinal level variables you selected in Week One. Assume that you have selected a random sample of 200 cases and col
Using a normal curve table, give the percentages of scores between the mean and a z-score of
Suppose the people living in a city have a mean score of 47 and a standard of 3 on a measure if concern about the environment. Assume that these concern scores are normally distributed. Using the 50
The probability of getting a defective widget is .10. You select five widgets for the National Widget Championship.
Describe type 1 and type 2 errors in this situation and the consequences of committing each type. which error is more expensive for the franchisor to make
A purse contains $101 in Anthony dollars and $1 in pennies. Smith is allowed to draw and keep coins, one at a time, until he has drawn 30 pennies. Find the variance of the random variable.
A converging lens (f = 12.8 cm) is located 30.3 cm to the left of a diverging lens (f = -5.4 cm). A postage stamp is placed 35.4 cm to the left of the converging lens. Find the overall magnification
Steve and his friends are relaxing at a local tavern. The number of drinks that Steve's table receives is Poisson distributed with an average of 9 drinks per 3 hours. Write out the distribution and
Lily estimates that her time to fall asleep each night is approximately exponentially distributed. It takes her an average of 30 minutes to fall asleep.
Let F be the number of failures on the network during one 24 hour day. State the distribution and parameter(s) of F. What is the probability that there are between 5 and 7 network failures inclusive i
Suppose we draw 13 cards out of a deck of 52. What is the expected value of the number of aces we get?
Assume that Bob's golf scores, G, approximately follow a normal distribution with a mean of 77
Find the value of z that is equal to the 80th percentile.
It is your birthday and you are waiting for someone to write you a birthday message on Facebook. On average (on your birthday) you receive a facebook message every 10 minutes.
Let X have the density fx(x) = c(2x + 1) for 0 ? x ? 4 and fx(x) = 0 otherwise, where c is a constant. Find the value of c that makes this a valid probability density function.
At a track and field tournament, Fred's long jumps vary evenly from 6.5 to 7.2 meters. Let X be the length of Fred's long jumps. Name the distribution and parameter(s) of X.
Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 <= 1. Find (a) the marginal density of X and (b) the conditional density of Y given X=x.
Estimate with 95% confidence the number of Californians between 25 and 55 years of age who are in the market segment the university wishes to target.
Assume that the mean has shifted to 20.10. Calculate the percentage of metal plates that exceed the tolerance limits in part (d).
A poll was taken of a simple random sample of movie viewers in a test audience at a new romantic comedy. The movie was given an average rating of 4.5 out of 5 by the 41 women in the audience, with a
Find the covariance between the random variables X and Y. What is the correlation between the random variables X and Y?