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The number of imperfections in an object follows a Poisson distribution with a mean=8.3. If the number of imperfections is 4 or fewer, the object is called "top quality." If the number of imperfecti
Let R1 and R2 be uniform random variables on the interval (a, b).
The average number of articles produced by 2 machines per day is 200 and 250 with standard deviation 20 and 25 respectively on the basis of records of 25 days production. Can u regard both the mach
What research design was used in this study? What is the independent variable in this study? What is the dependent variable in this study?
There are 4 yellow, 6 black, and 4 pink marbles in a hat. Marbles are not returned after they have been drawn. How do you find P(the first marble is black, the second marble is not pink, and the third
Follow the instructions in the applet to fill out the 1st graphs then answer the following question: What is the impact of the new point on the standard deviation?
Correlation is often miscast as causation. That is, cause is attributed to a variable when in fact, there is no causal relationship but only a correlation between the two variables.
You toss n coins, each showing heads with probability p, independently of the other tosses. Each coin that shows tails is tossed again. Let X be the total number of heads.
Suppose that the distribution function of a discrete random variable X is given by
The six readings, in parts per million, were 9.54, 9.61, 9.32, 9.48, 9.70, 9.26. Estimate σ^2, the population variance for readings on this standard, in a 90% con dence interval. What assumpti
A random sample of 90 students at a private high school is tested and and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (s= 200).
We pick a number between 0 and 999, then a computer picks one at random from that range. Compute the probability at least two of our digits will match the computers number. ( Note: We include any le
An investor picks 3 stocks out of 10 recommended by his broker. Of these, six will show a profit in the next year. What is the porbability the investor will pick
The set of numbers chosen is all that is important. The order in which they were chosen is irrelevant.
Marks on a Chemistry test follow a normal distribution with a mean of 65 and a standard deviation of 12. Approximately what percentage of the students has scores below 50?
Given the estimated relationship Y = 4 + 3.1X +e where the standard deviation of the coefficient on X is 2 and we have a sample of 17 observations, test whether the coefficient is significantly diff
Make assumptions about the marginal pdf fx1(x1) and the conditional pdf fx2 I x1 (x2 I x1).
Construct a stemplot of the amounts of strontium-90. What does the stemplot suggest abut the distribution of those amounts
An information center provides services in bilingual languages; requests for service arrive by telephone. Major language service requests and minor language service requests arrive according to inde
A telemarketer with B2B Communications has a 20 percent historical probability of making a sale during a shift where 100 calls were made.
A contractor wishes to set up a special fund by making uniform semiannual end-of-period deposits for 20 years. The fund is to provide $10,000 at the end of each of the last 5 years of the 20-year pe
On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a standard deviation of 16.8. A student is randomly selected.
Assume a student received the following grades for the semester: History, B; Statistics, A; Spanish, C; and English, C. History and English are 5 credit hour courses, Statistics a 4 credit hour cour
What is the power of a two-tailed test at the 0.05 level, difference of 25, standard deviation of 10, and sample size of 100? Assume outcomes are normally distributed.
What sample size in each of two groups is needed to detect a difference in the true means from each group of 10 with a two-tailed test at the 0.05 level, a power of 0.90, and standard deviation of 1