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Suppose two cards are drawn without replacement from a regular deck of 52 playing cards. Consider the events A1 5 an ace is selected on the first draw; A2 5 an ace is selected on the second draw.
a. Find P(A2 | A1) and P(A2). Are the events A1 and A2 independent? Justify your answer.
b. Suppose the two cards are drawn without replacement from six regular 52-card decks shuffled together. Find P(A2 | A1) and P(A2) for this experiment. Are the events A1 and A2 independent? Justify your answer.
c. In part (b), the events are almost independent. For six decks, find P(A1 ∩ A2) exactly, and then find the same probability assuming the two events are independent (with the probability of an ace on any draw being 24/312).
audrey an astronomer is searching for extra-solar planets using the technique of relativistic lensing. though there are
Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
A new restaurant with 123 seats is being planned. Studies show that 57% of the customers demand a smoke free area. How many seats sould be in the non-smoking area in order to be very sure (mean+3StandardDeviation) of having enough seating there?
The average height of male physicians employed by a Veterans Affairs med- ical center is 180.18 cm with a standard deviation of 4.75 cm. Find the probability of obtaining a mean height of 184.93 cm or greater for a sample size of 5.
In 1997, who announced he was leaving the BBC to stand as an independent candidate in the Tatton constituency in Cheshire?
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in a random sample of 1002 701 said they voted in a recent presidential election.a find the best point estimate of the
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Plot stem-and-leaf plot and boxplot for Mtotal. Illustrate hand calculation of median location and upper hinge location of boxplot, and determine their corresponding data values.
What is the portion of students obtaining scores between 85 and 95 and what is the score needed to be at the top 10% of the class and what is the probability that the value of the portfolio is greater than $2,000?
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