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You are going to toss a coin repeatedly in successive trials until you get a head for the first time, and then you are going to stop the experiment. Assuming that the coin is unbalanced with P(head) = 1/5, answer the following questions:
(1) Draw a tree diagram that is used to determine the outcomes;
(2) List at least 4 possible outcomes;
(3) Express the event "at least 4 tosses are required" in terms of the outcomes;
(4) Compute the probabilities P("at least 4 tosses are required before the experiment terminates");
(5) Explain why the probability calculated in (4) is large.
Assuming the population is large, which sample size will give the smallest standard deviation to the statistic and select the numbers for the first five to be interviewed.
in a study of the effectiveness of garlic for lowering cholesterol 17 subjects were treated with garlicin which is
Check that the formula (1) holds when X Unif(0, b). Formula (1) also works for b = 1. Check this when X is an Exponential RV with PDF f(x) = e-x for x 0.
Last year the records of Dairy Land Inc., a convenience store chain-What is the p-value? Follow the five-step hypothesis testing procedure.
A basketball player shoots 8 free throws during a game. If we assume that each attempt has the same probability of success, the sample space for the number of baskets he/she makes during the game is ??
The response variable is the change in cholesterol level after two months of treatment. An analysis of variance will be used to compare the three treatments. What null hypothesis is tested by this ANOVA F-test?
Do the data you obtained provide enough evidence to reject the claim? Use a 1% level of significance.
In some ways, ANOVA is like what communications engineers refer to as "signal-to-noise ratio". What could I possibly mean by that statement?
the wayne manufacturing company purchases a certain part from suppliers a b and c. suppler a supplies 65 of the parts b
Write a paragraph or two summarizing what you can conclude from the summaries you generated. You should address the central tendency, variability, and shape of the data.
Use this poll result to give 70%, 80%, 90% and 99% confidence intervals for the proportion of all adults who feel this way. What do your results show about the effect of changing the confidence level? (Use Excel)
Suppose you take a random sample of 15 bearings and compute xbar = 8.2535. What is the probability that you will see a sample mean greater than xbar?
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