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Statistics

1)If X and Y are both discrete, show that xPX/Y9x/y)=1 for all y such that pY(y)>0. 10) Suppose X and Y are independent continuous random variables. Show that E[X/Y=y]=E[X] for all y

Subject:

Statistics

Topic:

All Topics

Posting ID:

4038

OTA ID:

102922

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Probability

An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced and then a second chip is drawn. What is the probability of? a.) A white chip on the first draw b.) A white chip on the first draw and a red on the second. c.) Two green chips being drawn. d.) A red chip on the second draw given a white chip was drawn on the first.

Subject:

Statistics

Topic:

All Topics

Posting ID:

4062

OTA ID:

101733

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Probability and binomial distributions 20 point value

Acme plumbing supply just received a shipment of 5,000 stainless steel valves, but 50 regular steel valves were also sent. There is no way to tell the difference between the valves. A customer orders 5 stainless steel valves . What is the probability that one or more will be regular steel? What distribution will be used? What are the parameters? Represent the question as a probability statement? Calculate the probability?

Subject:

Statistics

Topic:

All Topics

Posting ID:

4127

OTA ID:

101733

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Hypotheses Testing

A MANUFACTURER OF COMPUTER CHIPS CLAIMS THAT MORE THAN 90% OF HIS PRODUCTS CONFORM TO SPECIFICATIONS. IN A RANDOM SAMPLE OF 1000 CHIPS DRAWN FROM A LARGE PRODUCTION RUN, 875 WERE ACCEPTABLE. DO THE DATA PROVIDE SUFFICIENT EVIDENCE AT THE 1% LEVEL OF SIGNIFICANCE TO CONCLUDE THE MANUFACTURER'S CLAIM IS FALSE? a. State the Null and Alternative hypotheses. b. Define the test statistic. c. Develop the decision rule. d. Compute the test statistic. e. State the conclusion.

Subject:

Statistics

Topic:

All Topics

Posting ID:

4163

OTA ID:

102799

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Confidence Interval

Using sample results and level of confidence of 0.01, test to determine whether the figure published by Runzheimer International is too high. Was it a one- or two-tailed test?

Subject:

Statistics

Topic:

All Topics

Posting ID:

4167

OTA ID:

101733

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