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email: A1 Next FOUR questions are based on the following: Professor Bob asked his introductory statistics students to state how many siblings they...

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NAME: Enter your LETTER answers HERE A1 e-mail: Next FOUR questions are based on the fol owing: 1 Note: 2 When done, using your last name and firstname, save THIS FILE as,  3 e270Lastname Firstname HW (No space between E270 and Last name) 4 and e-mail it to 5 x 6 Example: 0 0.200 7 e270Smith Adam HW2 YES 1 0.425 8 e270 Smith Adam HW2 NO 2 0.275 9 3 0.075 10 4 0.025 11 12 13 1 14 PAY ATTENTION 15 a 0.625 16 b 0.780 17 c 0.850 18 d 0.900 19 20 2 What is the probability that the number of siblings is greater than 2? 21 a 0.100 22 b 0.150 23 c 0.255 24 d 0.375 25 26 3 27 a 1.05 28 b 1.10 c 1.25 d 1.30 4 What is the variance of x? a 0.84 b 0.91 c 1.12 d 1.24 Next TWO questions are based on the fol owing: The fol owing table is a probability distribution for the random variable x. x 6 0.30 10 0.50 15 0.20 5 The expected value of x is:  E(x) = ______. a 7.9 b 8.4 c 8.8 d 9.8 6 The standard deviation of x is:  sd(x) = _______. a 2.755 b 2.846 c 3.124 d 3.456 Next 8 questions are based on the fol owing: x ($1,000) f(x) -100 0.10 0 0.20 50 0.25 100 0.30 150 0.10 200 0.05 7 a 0.05 b 0.10 c 0.15 d 0.20 8 a 0.95 b 0.90 c 0.70 d 0.45 9 What is the probability that profit wil  be at least $100,000? a 0.45 b 0.35 c 0.30 d 0.20 10 What is the expected value of Z-Lab’s profit? a $50.5 thousand b $52.5 thousand c $57.5 thousand d $60.5 thousand 11 What is the variance of profit? a 4,500.45 b 5,125.30 c 5,568.75 d 5729.55 12 On average, each profit (loss) amounts deviate from the mean profit by ______ thousand. a 71.59 b 74.62 c 75.69 d 76.84 13 E(y) var(y) a 157.5 5,668.75 b 157.5 5,568.75 c 115.0 5,668.75 d 115.0 5,568.75 14 E(y) var(y) a 115.0 22,275.0 b 115.0 11,137.5 c 157.5 5,568.8 d 57.5 11,137.5 15 a 4.5 °C b 5 °C c 5.5 °C d 6 °C 16 In the previous question, the standard deviation of the temperature in degrees Celsius is. a 6.5 °C b 6 °C c 5.5 °C d 5 °C Next TWO questions are based on the fol owing: 17 Bob's average annual salary is ________. a $42,750  b $45,850  c $48,450  d $49,250  18 In the previous question, what is the standard deviation of the annual salary? a $8,620  b $8,400  c $8,100  d $7,900  Next SIX questions are based on the fol owing: Consider a binomial experiment with n = 25 and   = 0.20.  Let x denote the number of successes. π 19 f(x = 2) = _______. a 0.0566 b 0.0708 c 0.0982 d 0.1387 20 f(x ≤ 2) = ______. a 0.1697 b 0.1414 c 0.1178 d 0.0982 21 f(x ≥ 2) = ______. a 0.9726 b 0.9531 c 0.9340 d 0.9153 22 E(x) = ______. a 2 b 3 c 4 d 5 23 sd(x) = ______. a 2 b 3 c 4 d 5 24 a 0.0645 b 0.0457 c 0.0217 d 0.0029 25 a 7 b 6.5 c 6 d 5.5 Next three questions are based on the fol owing: 26 What is the probability that Bob wil  get one ticket during the week (Monday-Friday)? a 0.3000 b 0.3245 c 0.3486 d 0.3602 27 What is the probability that Bob wil  get at least one ticket during the week? a 0.8319 b 0.6842 c 0.5881 d 0.1681 28 a $32.50  b $30.00  c $27.50  d $25.00  Professor Bob asked his introductory statistics students to state how many siblings they have.  Let  x   denote the number of siblings.  The fol owing shows the  relative  frequency, denoted by  f ( x ) of the  number of siblings reported by students. [email protected] f ( x ) If a student is selected at random, what is the probability the student's number of siblings is less  than or equal to 2? What is the expected value of  x , that is, the average number of siblings? f ( x ) In the table below  x  denotes the Z-Lab Company’s projected annual profit (in $1,000), along with the  probability of earning that profit.  The negative value indicates a loss. What is the probability that Z-Lab wil  break even? ( x  = 0)  What is the probability that Z-Lab wil  be profitable, that is, the probability of  x  > 0? Suppose $100 thousand is added to each previously projected profit (loss) level (y = 100 + x),  but probabilities are maintained as before.  The updated expected value of profit and the variance  of profit, respectively, are: probabilities maintained as before.  The new expected value of profit and the variance of profit,  respectively, are: The average temperature in Janesvil e in January is 41°F with a standard deviation of 9°.  The  average temperature in degrees Celsius is ______.  Use the fol owing formula to convert degrees  Fahrenheit to degrees Celsius: Bob is a salesman.  He receives 10% of the price of the item sold as sales commission plus a fixed  salary of $200 per week.  Bob's average weekly sales is 50 items with a standard deviation of 12.  The  average price of itmes Bob sel s is $150.  Bob works 45 weeks a year. provide that 2% of Gizmos turn out defective.  You randomly select a sample of n = 40 from  each lot and return the shipment if more than 2 are found defective.  The probability of returning  a shipment is: If you guessed the answers to al  the questions, how many questions should you expect to answer  cor ectly? Bob would rather risk get ing a parking ticket than pay the parking fee at a campus parking facility.  Bob parks at the facility Monday through Friday.  The probability of get ing a ticket on any given  weekday is 30%.  Answer the questions based on a five-day period. If each ticket costs Bob $20 what is the average cost of parking violation in the 5-day  period?
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