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1. Suppose we randomly select two students from a mathematics class and asked whether the student selected each time is a member of a math-club or not. Write all the outcomes for this experiment. Draw the Venn and Tree diagrams for this experiment.
2. In your class, some students may be in favor of a closed-book exam and others may be in favor of an open-book exam. Suppose you select two students randomly from this class and asked whether they are for closed-book or for open-book exams. How many distinct outcomes are possible? Draw the Venn and Tree diagrams for this experiment.
Find out the area using Normal distribution. As, if Z is a standard normal variable find out the probability that Z lies.
Determine following probabilities where Z follows standard Normal distribution?
Conduct post hoc comparisons with the LSD method. Which groups differ significantly at α = 0.05?
Registration process takes, on average, 2 minutes per patient. Among patients who get prescriptions, average time spent with doctor is 5 minutes. Among those admitted to hospital, average time is 30 minutes.
Determine marginal probability distributions of X and Y . Compute conditional probability P ( Y = 2 | X = 1)
In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely..
Normal distribution has mean of 80 and standard deviation of 14. Find out the value above which 80 percent of values will occur.
A major problem resulting from the lack of randomization in a cohort study is: the possibility that a factor that led to the exposure, rather than the exposure itself, might have caused the disease.
Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.
Which is the estimated or dear proportion of defective cups in the population?
To find out whether the course is effective in increasing sales, the appropriate set of hypothesis for testing is:
As a sample size approaches infinity, how does the student's t distribution compare to the normal z distribution? When a researcher draws a sample from a normal distribution, what can one conclude about the sample distribution? Explain.
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