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1. Nordstrom stores conducted a study to examine the preferences of the color for womens shirts with the following results ge 50 or older Age less than 5 White Black Brown Yellow Blue 20 50 60 130 30 40 70 90 120 60 (a) What is the probability that a randomly selected woman like a black case the best (b) What is the probability that brown or black case is the favorite color (c) Assuming a woman is less than 50 years old, what is the probability that a black case is her favorite color? (d) Assuming a woman is older than 50 years old, what is the probability that a brown case is her favorite color? (e) Assuming a woman is older than 50 years old, what is the probability that a yellow case is her favorite color? (f) Assuming a woman is less than 50 years old, what is the probability that a brown, white, or black case is her favorite color?
2. A recent study by the University of Pittsburg showed that the average number of airplanes flying over downtown Pittsburg is four per hour. Assume the passing of these airplanes is approximated by the Poisson distribution. (a) Find the probability that no airplanes flew over Pittsburg between 8am and 9am on Sunday. (b) Find the probability that exactly three airplanes flew during that time. (c) Find the probability that exactly four airplanes flew during that time. (d) Find the probability that nine or more airplanes few during that time.
3. A study by WPU showed that 50% of students attending an open house for the first time will return for future open houses Suppose six students are selected at random, what is the probability that (a) Exactly two students will return? (b) All six students will return? (c) At least five students will return? (d) At least one student will return? (e) How many students would be expected to return for future open houses? 4. A study by Professor Smith of University of South Carolina showed that students taking Business Statistics I spent an average of 5 hours studying for the midterm exam, with a standard deviation of 2 hours and it follows the normal probability distribution. (a) Find the portion of the students who spent between 5 and 6.5 hours studying for the midterm. (b) Find the portion of the students who spent more than 6.5 hours studying for the midterm. (c) Find the portion of the students who spent between 6.5 and 8.5 hours studying for the midterm. (d) Find the portion of the students who spent between 4.5 and 8.5 hours studying for the midterm.
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Answer #1

( 1 )

Column 1 Column 2 Total
Row 1 20 40 60
Row 2 50 70 120
Row 3 60 90 150
Row 4 130 120 250
Row 5 30 60 90
Total 290 380 670

a1202 6斗 610 1So 120 2チ 610 64 380 oming 0omanSo he probab 6 290 Assom ellow is -le.vom.te cobloヶ 1S 290 29 Sumina woman So he 380 3 80 38

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