Probability they are both diamonds
Two cards are drawn from a deck (without replacement). What is the probability they are both diamonds? Please show your work.
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A sample of 50 scores on the admission test for a school of engineering is drawn at random from the scores of the persons who applied to the school in 2010. If the sample mean and the standard deviation are ¯X=546 and and s = 85,
What sample size is needed to estimate with 95% confidence the mean intake of calcium within 20 units of the true mean if the intake is normal with a variance of 1900 units?
Letting represent the mean composite satisfaction rating for the XYZ-Box, set up the null hypothesis H0 and the alternative hypothesis Ha needed if we wish to attempt to provide evidence supporting the claim that ? exceeds 42.
By counting the appropriate elements of the sample space if necessary, find the probability of each of the following events:
A box contains three black pieces of cloth, two striped pieces, and four dotted pieces. A piece is selected randomly and then placed back in the box. A second piece is selected randomly. What is the probability that:
You are given that on average a particular insurance sales person is successful 15% of the time. On a given week this person makes 12 sales calls.
We wish to survey n people to estimate the proportion p of all people who have lied on an survey. People are asked to ?ip 2 coins. If both times it comes up as heads, they are asked to reply "no" if they have lied and "yes"if they have not.
Assume that there are 7 different issues of Newsweek, 6 different issues of Sports Illustrated, and 2 different issues of Time, including the December 1st issue, on the rack. You choose 4 of them at random.
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