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Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 is less than and equal to 1. Find the a) marginal density of X and b) the conditional density of Y given X = x.
Suppose we draw 13 cards out of a deck of 52. What is the expected value of the number of aces we get?
Future Electronics makes CD Players. Its research department found that the life of the laser beam device is normally distributed, with mean 5000 hours and standard deviation 450 hours.
Suppose X and Y have joint density f(x,y) = 10x^2y when 0 < y < x < 1. Find the marginal densities of X and Y and the,
A random sample of 16 size D batteries for cars yield a mean of 2.8 hours with standard deviation, 1.3 hours. Find the critical value, t*, for a 99% CI. t* =
Calculate a 95% confidence interval for the mean price of this model of digital phone:
What is the value of t*, the critical value of the t distribution for a sample of size 10, such that the probability of being greater than t* is 1%?
Assume that IQ scores are normally distributed with a standard deviation of 15 points and a mean of 100 points. If 100 people are chosen at random, what is the probability that the sample mean of IQ
An ANOVA table for multiple regression has the required information to compute the coefficient of multiple determination.
In an experiment on magazine advertisements, a researcher is examining visual displays to determine if one is more memorable. Only a small number of subjects will be avaliable for study. Should the
Although you can compute a z-score for a single score (a sample of n=1) it is impossible to compute a t statistic for a sample that has only one score. Explain why.
To find the sample size needed for a hypothesis test, if Ho: mu=10, Ha: mu<10, sigma is unknown, alpha = 0.01, beta = 0.05 and E = 0.80(sigma), find:
The P-value for a one-mean t-test is estimated using a t-table as 0.05 < P < 0.10. Based on this information, for what sigificance levels can the null hypothesis be rejected?
If all cars in the usa ran with petrol blended with 20% bioethanol produced by enzymatic hydrolysis of cellulosic feedstock, what would be the annual reduction in co2 production in tonnes?
When conducting a hypothesis test with chi-square analysis, the null hypothesis is rejected when the differences between the expected and observed frequencies are relatively large.
A sample of 850 people resulted in a confidence interval estimate for the proportion of people who believe that the Fed. Gov.'s proposed tex increse is justified is between .14 and .20. Based on thi
After the recalibration, the quality-control manager randomly selects 19 bottles from the line and determines that the standard deviation is 0.38 ounce. Is there less variability in the filling mach
Find the value of z that would be used to test the difference between the proportions, given the following. (Use G - H. Give your answer correct to two decimal places.)
A fair coin is tossed 500 times. Find the probability of obtaining more than 300 heads.
A multiple-choice test consists of 77 questions with possible answers of a, b, c, d, e. Estimate the probability that with random quessing, the number of correct answers is at least 33.
Use normal approximation to estimate the probability of getting more than 49 girls in 100 births. Assume that boys and girls are equally likely.
In a clinical trial of a drug used to help subjects stop smoking, 812 subjects were treated with 1 mg doses of the drug. That group consisted of 49 subjects who experienced nausea. The probability o
A fair coin is tossed 20 times and x=6 heads are observed. Let p=P(head). A test of Ho:p=.5 versus Ha: p<.05 is to be performed based upon the results of the 20 tosses. What is the p-value for th
In a past election, the voter turnout was 51%. In a survey, 843 subjects were asked if they voted in the election. Find the mean and standard deviation fot the numbers of voters in groups of 843.