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Suppose 94% of all students taking a beginning programming course fail to get their first program to run on the first submission. Use a binomial distribution and assign probabilities to the possibilities that among a group of 4 such students,
(a) all fail on their first submissions
(b) at least 3 fail on their first submissions
(c) less than 3 fail on their first submissions
(d) Continuing to use this binomial model, what is the mean number who will fail?
(e) What is the standard deviation?
Find the correlation coefficient for the data. Find the equation for the regression line for the data and predict the final grade of a student who misses 3.5 days.
The weights of adult male beagles are normally distributed with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle's weight is less than 23 pounds.
In what sense is this business problem? A societal problem? An individual problem?
Can researcher conclude that humidity has significant effect on eating behaviour? Use two-tailed test with a = 0.05.
How would you determine which test would be appropriate to use? What characteristics of the problem would you use to determine which hypothesis test you should use? Explain your answer.
A IRS auditor randomly selects 3 tax returns from 57 returns of which 6 contains errors. What is the probability that she selects none of those containing errors?
The incubation time for Rhode Island Red chicks is normally distributed with a mean of 21 days and standard deviation of approximately 1 day.
Is this a statistically significant difference? Write the two statistical hypothesis and conduct the appropriate test with your conclusion justified.
Your objective is to maximize the expected utility of your final fortune (after 4 bets). If you are a log-utility investor, determine the optimal policy and find the maximal expected utility.
Assume that the value of X is controllable. What should be the value of X if the desired value for Y is 100. Construct a residual plot. Are the residuals random
In a random sample of 512 parents with young children, 275 admitted to spanking their child as a regular form of punishment. Use the classical approach, at a 10% level of significance, to test the sociologist's claim.
Each contact will result in either no sale or a $50,000 sale, with the probabilities .9 and .1, respectively. Give the probability distribution for daily sales. Find the mean and standard deviation of the daily sales.
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