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PART ROUNDED TO WHOLE NUMBER AND THE REST TWO TO FOUR SIGNIFICANT DIGITS: A national scholarship program requires applicants to take an IQ test to determine eligibility for the scholarship. IQ scores are normally distributed with a ? of 100 and a ?? of 10. Using these data answer the following questions. a. If a college admission office requires scores of at least the 60th percentile for admission, what is the cutoff score? b. What is the probability of randomly selecting a “test taker” with a score 1) Greater than or equal 100? 2) Less than or equal
You are charged with the responsibility to determine the probability of coincidental birthdays. Initially the following two birthday questions were assigned to you. a. Ignoring leap years, find the probability that two randomly chosen people were born on January 1. b. Ignoring leap years, find the probability that two randomly selected people have the same birthday. c. You have a bag containing 1 red ball, 2 blue balls, 3 yellow balls, 4 black balls and 5 white balls. What is the probability of drawing without replacement a red ball, then a blue ball and lastly a yellow ball in the first three draws? d. For problem 3c how many different combinations are possible for the draw? e. For problem 3c how many different permutations are possible for the draw? f. A statistics professor tosses three coins that cannot be seen by any student. One student asks if at least one of the coins turned up heads and another student asks the same question for tails. Given that the professor’s response to both questions is “yes”, find the probability that two of coins turned up heads? 4. ROUNDED TO WHOLE NUMBER ANSWERS. Last semester in the undergraduate course I was teaching I decided that I would curve the course and, thus, I had to determine where the break in grades would occur. One hundred students were enrolled in the course and the points earned were normally distributed with a mean of 500 and a standard deviation of 50. Therefore, what would the point total be that would separate: a. A grade of F from D if the bottom 10% of the students was to receive a grade of F. b. A grade of B from C if the top 30% of the students was to receive a grade of A or B. 5. FOUR DECIMAL ANSWERS. In the 113th Congress, the United States House of Representatives has 78 women representative with 59 being democrats and 19 being republicans. If a lobbyist for AARP randomly selects three different representatives to visit what is the probability that: a. All of the representatives would be women? b. Two...
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