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Question: Consider the following three events based on a class of kindergarten students.
Event A: student 1 has the flu
Event B: student 2 has the flu
Event C: student 3 has the flu
Are these three events independent? Explain.
A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies:
Separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed: what is that chance?
The heights of young women are approximately normal with mean 65 inches and standard deviation 2.5 inches.
For any hypothesis test, if the value of a parameter being tested falls outside the confidence interval for the same level of a, the correct decision is to reject the null hypothesis. Is this True or False?
Manual calculations.
Assuming that this probability does not change, he would like to compute the probability that he will score on 1 or more of his next 4 attempts. He should use?
What is the "best strategy" ie gives the largest expected value? Is it "one toss", "two tosses", "three tosses", ....etc Justify your answer by showing all steps in reaching your conclusion.
A student is selected at random from the class. What is the probability that the student is both a junior and an economics major?
A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European call option with a strike price of $105.
How many questions must the test contain in order to reduce the standard deviation of Julie's proportion of correct answers to one-fourth its value for an 100-item test?
A random sample of 180 individuals had their blood sugar level measured. The 5-number summary was. How many of the people in the sample had glucose levels above 119?
To test the hypothesis that 48% of PC users have never used a Mac, the analyst took a sample of 50 PC customers drawn at random and found that 22 of them had never used a Mac.
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