input the probabilities of 0.4‚ 0.4 and 0.2 for “good”‚ “moderate” and “poor” market reception. We then proceed to develop the marginal‚ conditional‚ and joint probabilities for each terminal end-point. The formula for the conditional probability of events A and B is changed as: P(A ∩ B) = P(B) P(A | B) By developing the likely revenue of market response outcome and summing the results‚ we obtain the expected
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PROBABILITY QUESTIONS Q1). You draw a card at random from a standard deck of 52 cards. Neither you nor anyone else looked at the card you picked. You keep it face down. Your friend then picks a card at random from a remaining 51 cards. a) What is the probability that your card is ace of spades? 1/52 b) What is the probability that your friend’s card is ace of spades? (Hint: Construct the sample space for what your friend’s card can be.) 1/51 c) You turn over your card and it is 10 of
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specific event will occur. If the event is A‚ then the probability that A will occur is denoted P(A). Example: Flip a coin. What is the probability of heads? This is denoted P(heads). Properties of Probability 1. The probability of an event E always lies in the range of 0 to 1; i.e.‚ 0 ≤ P( E ) ≤ 1. Impossible event—an event that absolutely cannot occur; probability is zero. Example: Suppose you roll a normal die. What is the probability that you will get a seven? P(7) = 0. Sure event—an event that is
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UNIT CODE: BIT 3102 UNIT TITLE: EVENT DRIVEN PROGRAMMING Assignment Two This assignment focuses on the following • Controlling program flow using if control structure and select case control structure • Use of option buttons and checkboxes Create a VB project and save it as assignment two – your name and in this project add the following forms i. A form that reads in a student’s cat1‚ cat2 and final exam marks then computes the total and displays the total in a text box. It then displays
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table is a tabular summary of probabilities concerning two sets of complementary events. Answer: True Difficulty: Medium 2. An event is a collection of sample space outcomes. Answer: True Difficulty: Easy 3. Two events are independent if the probability of one event is influenced by whether or not the other event occurs. Answer: False Difficulty: Medium 4. Mutually exclusive events have a nonempty intersection. Answer: False Difficulty: Medium (REF)
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Objectives of Current Lecture In the current lecture: Introduction to Probability Definition and Basic concepts of probability Some basic questions related to probability Laws of probability Conditional probability Independent and Dependent Events Related Examples 2 Probability Probability (or likelihood) is a measure or estimation of how likely it is that something will happen or that a statement is true. For example‚ it is very likely to rain today or I have a fair chance of passing
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MAT540 - Quantitative Methods (Homework # 2) Section A True/False Indicate whether the sentence or statement is true or false. __F__ 1. Two events that are independent cannot be mutually exclusive. __F__ 2. A joint probability can have a value greater than 1. __F__ 3. The intersection of A and Ac is the entire sample space. __T__ 4. If 50 of 250 people contacted make a donation to the city symphony‚ then the relative frequency method assigns a probability of .2 to the outcome of
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154 200 a. Give an example of a simple event Need less than 3 more clicks to be removed. b. Give an example of a joint event Need three or more clicks to be removed in 2008 (2 events : needs 3 or more clicks and happened in 2008) c. What is the complement of "Needs three or more clicks to be removed from an email list"? Need less than 3 more clicks. d.Why is "Needs three or more clicks to be removed from an email list in 2009" a joint event? It neeeds to fit both criteria‚ 3 or more
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revealed that 400 people could recall seeing the commercial and that 320 people actually bought the product. Of the people that bought the product‚ 240 could recall seeing the commercial. 1. Using the alphabetic characters B and R to represent the events “buying the product” and “recalling seeing the commercial” respectively‚ construct a 2x2 contingency/cross tabulation table to summarise the findings of the survey. 2. If the information revealed by the survey is typical of the population as a whole
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exact being Type of Criminals Terms of less than Five years Longer Terms First Offenders 120 40 Hardened Criminals 80 160 If one of the inmates is to be selected at random to be interviewed about prison conditions‚ H is the event that he is a hardened criminal‚ and L is the event that he is serving a longer term‚ determine each of the following probabilities: a. P(H) b. P(L) c. P(L∩H) d. P(L’∩H) e. P(L|H) f. P(H’ |L) 6. Let Z be a random variable for the number of heads obtained in four flips of a
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