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1. Suppose that A and B are independent events. Show that Ac and Bc are independent events.
2. There are three cards. The ?rst is green on both sides, the second is red on both sides and the third is green on one side and red on the other. We choose a card at random and we see one side (also chosen at random). If the side we see is green, what is the probability that the other side is also green? Many people intuitively answer 1/2. Show that the correct answer is 2/3.
3. Suppose that a fair coin is tossed repeatedly until both a head and tail have appeared at least once.
(a) Describe the sample space ?.
(b) What is the probability that three tosses will be required?
questionnew spark plugs have just been installed in a small airplane with a four-cylinder engine. there is one spark
Multiple choice questions based on regression - A regression and correlation analysis resulted in the following information
Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly.
Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height
Use the applet to calculate the power of the test against the alternative u = 122. Can the test be relied on to detect a mean that differs from 128 by 6?
q1. calculate each of the following values for the data set below assume it is a population.3.42 4.10 4.15 4.19 4.26
The mean time between failures is found to be 322.4 hours for a sample group. assuming that s= 45.0 hours, find the 99% confidence interval for the mean time between failures for all such radios.
assume that the paired data came from a population that is normally distributed. using a 0.05 significance level find
A sample of size 9 is drawn at random from a Normal distribution. The experiment has a null hypothesis of μ = 0 and an alternate hypothesis of μ > 0. The mean of the sample is 7 with an s of 8. Is there a difference at the 1% level?
a bridge culvert is designed to pass a stream discharge with an annual exceedance probability of 0.02 without
based on available information lead time demand for cd rom drives averages 250 units normally distributed with a
A recent study of 25 students showed that they spent an average of $18.53 for gasoline per week. the standard deviation of the sample was $3.00. find the 95% confidence interval of the true mean.
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