STAT220 Spring 2012 Practice Midterm 1. Let A and B be events such that P(A) = 0.25 and P(B) = 0.16. Find P(A|B) if (a) P(A B) = 0.06 (b) P(B|A) = 0.4 (c) P(AB) = 0.33 (d) A and B are independent (e) A and B are mutually exclusive 2. Among employees of a certain firm‚ 70% know C/C++‚ 60% know Java‚ and 90% know at least one of the two languages. (a) What is the probability that a selected programmer knows both languages? (b) What is the probability that a selected programmer knows C/C++ but not
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Group Case Study: Old Oregon Wood Stove Old Oregon Wood Store Mr. George Brown: From the data that you provided which contained the manufacturing times of your staff consisting of Tom‚ Leon‚ Cathy‚ Randy‚ and yourself we were able to determine the optimal staffing which will produce the fastest manufacturing times by utilizing an assignment algorithm. The process involved in preparing the data and the results of the algorithm is as follows. The first was to determine how many minutes each
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receive one morning and one afternoon 15-minute break with a 30-minute lunch. School administration hours are 8 a.m. to 5 p.m.‚ Monday through Friday. Course outline “A” as the fourth character in the course number designates an Academic Subject. “C” as the fourth character in the course number designates a Competency or Certification. Course/Subject No./Name ELPA 1202 – Electrical Systems ELPA 1203 – Linework Fundamentals ELPA 1204 – Basic Electrical Theory ELPA 2205 – Working on Lines & Equipment
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Table 7.5 A company makes four products that have the following characteristics: Product A sells for $50 but needs $10 of materials and $15 of labor to produce; Product B sells for $75 but needs $30 of materials and $15 of labor to produce; Product C sells for $100 but needs $50 of materials and $30 of labor to produce; Product D sells for $150 but needs $75 of materials and $40 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table
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mid-point of the class interval and then drawing a straight line in order to join consecutive points E X A M P L E O F F R E Q U E N C Y P O LY G O N S G R O U P E D D A TA Fifty bags of sweets were opened. The number of sweets in each bag is recorded in the following table. Number of sweets Frequency 18-22 6 23-27 14 28-32 16 33-37 11 38-42 3 Previous information in frequency polygon form. DEFINITION OF FREQUENCY P
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------------------------------------------------- Prime number A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime‚ as only 1 and 5 divide it‚ whereas 6 is composite‚ since it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than
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three strings over the pulleys. From the strings‚ hang the amount of mass corresponding to your group number in Table 1. Do not permit the masses to swing. The line of each string should pass through the center of the ring. Table 1. Masses and corresponding angles that will be used by each group. The value of the mass represents the total mass (includes the weight hanger). group number String 1 String 2 String 3 m1(g) 1(deg) m2(g) 2(deg) m3(g) 3(deg) 1 150 30 200 135 140
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assessment in 2011 and 2012 STELLAR NUMBERS SL TYPE I Aim: In this task you will consider geometric shapes which lead to special numbers. The simplest example of these are square numbers‚ 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3 and 4. The following diagrams show a triangular pattern of evenly spaced dots. The numbers of dots in each diagram are examples of triangular numbers (1‚3‚6‚)…. 1 3 6 10 15 Complete the triangular numbers sequence with three more terms. Find
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precedence diagram : Calculation of Desired Cycle time Cd = Production Time Available Desired Units of Output Cd = 8 hours x 60 minutes / hour 192 units = 2.5 minutes Calculation of Theoretical Minimum Number of Work Stations : N = ∑t Cd = (40 + 80 + 30 + 25 + 20 + 15 + 120 + 145 + 130 + 115) / 60 2.5 = 720/60 = 4.8
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literature for children each year. Upon reading “Number the Stars” by Lois Lowry‚ the Newbery Medal winner in 1990‚ one can easily understand why this great novel won the coveted John Newbery Medal. There are many reasons as to why “Number the Stars” obtained the Newbery Medal but two main reasons stick out: The use of italics as a descriptive device‚ and the central theme pertaining to the difficulties of growing up. Firstly‚ Lois Lowry’s “Number the Stars” focuses on Annemarie Johansen‚ a young
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