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If when one of two events occurs in an experiment, the other event cannot occur, we call these two events

Suppose that 20% of the Labrador Retrievers in the U.S. have a particular genetic defect.  We randomly select 7 Labs from the population consisting of all Labs in the U.S.  What is the probability that at least 1 of the 7 dogs in this sample has the genetic defect?

The                                   for a discrete random variable (X) is a table, graph, or formula that specifies the probability of observing each value of X.                   

The American Angus Association wants to determine the proportion of their members who breed their cows using artificial insemination (AI).  They randomly sample 200 of their members and ask them whether or not they breed their cows using AI.  120 of the 200 members sampled said “yes”.  The proportion of the 200 members who breed their cows using AI is an example of a ____________.

Assume that 16% of all pigs die between birth and weaning.  In a random sample of 300 births, let X be the number of pigs that die between birth and weaning.  Using the normal approximation to the binomial, find the approximate probability that the number of pigs in the sample of 300 that die between birth and weaning is greater than or equal to 50.

Assume that the mean length of time required to complete the Columbus Marathon is 4.5 hours and that the standard deviation of the times required to complete the race is 0.70 hours.  Calculate the z-score for a time of 2.3 hours.  Based on the z-score, is this time of 2.3 hours an outlier?

We have specific camera angle requirements when taking a proctored exam, so that we can ensure a secure testing environment.  For a proper camera setup, which of the following answers is most accurate? Select the most accurate answer choice (only one).

This test contains the password to your online exam as well as instructions to follow and submit your written work.  Please DO NOT SUBMIT OR CLOSE this test until you have completed your online exam and and answered all four questions.WARNING: If work is not uploaded in a cropped single pdf, or if work is not in order, neatly written, it will not receive credit (-9 points for each problem). WORK FOR EVERY PROBLEM: Every single problem (even the ones that look like you don’t need to write much) must have written reasoning/steps to support the answer you give in Knewton.  Failure to show work will result in a score of 0 for that problem.

Suppose you’re told, “If Paul checked his messages then he’s back in town.” What would you need to know in order to validly infer that Paul isn’t back in town?

Suppose you’re told, “If the car was on sale then Jen bought it.” What would you need to know in order to validly infer that the car wasn’t on sale?