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In answering a question on a multiple choice test, a student either knows the answer or he doesn't and he guesses. Let p be the probability that he knows the answer (1-p is therefore the probability that he guesses.) Assume that a student who guesses at the answer will be correct with probability 1/m, where m is the number of multiple choice alternatives.
What is the probability that a student knew the answer to a question given that he answered it correctly? Assume that if he knew the answer, he did not make a mistake and he wrote down the answer correctly, i.e. P (C|K) = 1.0.
P (K) = p P (K') = 1 - p
a) Find P (K|C) in terms of m and p.
b) If there are 5 choices for a question and there is a 50% chance that the student knows the answer, what is the probability that the student knew the answer to a question he correctly answered?
At the .01 significance level, can we conclude that the 30-yeer mortgage rate for small banks is less than 6 percent? Estimate the p -value.
Draw two pie charts, which allow the total yearly exports to be compared. Explain the trend in the export of fish as shown in the two pie charts.
What are the best-case and worst-case outcomes the owner may face on this product if she implements your suggestion?
prevent coronary artery vasoconstriction and the attendant reduction in blood flow to the heart and mechanical function.
Then use ogive to estimate median and first and third quartiles. Also utilize it to reply following question: What percent of 60 mutual fund loads are less than 75.
If 25 men aged 18-24 are arbitrarily chosen, determine probability that their mean serum cholesterol level is between 165 and 200.
If probability the first truck is available is= .75, probability the second truck is available is= .50, and probability both are available is= .30, determine the probability which neither truck is available?
This distribution is positively skewed. The standard deviation of the population is not known.
A survey of college students collected information on several variables: Distance from Home, Age, Major, Gender, and Class. The variable Major is
An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are:
Based on the equation of the least-squares line, we use software to predict the average number of home runs hit per game per team for the year 2001. We obtain the following.
Modify above problem (Problem 8th) so that each hardware vendor now demands seventy-five (75) units. Any units available from the vendors that are not shipped cost nothing.)
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