[pic] TITILE : THEORY OF PROBABILITY NAME : KYRIOS JOYCE ERDAYA RAJOO IC NO : 930603-10-5700 CLASS : 5 MULIA TEACHER : MRS.MALLIKA a) History of Probability The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia‚ but exact mathematical
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cutting a deck of cards for $1‚000. What is the probability that the card for the gambler will be the following? a. A face card – there are 12 face cards in a deck of 52 cards. The probability would be 12/52 b. A queen – there are 4 queens in a deck‚ so the probability would be 4/52 c. A Spade - There are 13 cards of each suit so the probability is 13/52 or ¼. d. A jack of spades - There is only 1 jack of spades in a deck‚ so the probability would be 1/52 2. The employees in the textile
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Conditional Probability How to handle Dependent Events Life is full of random events! You need to get a "feel" for them to be a smart and successful person. Independent Events Events can be "Independent"‚ meaning each event is not affected by any other events. Example: Tossing a coin. Each toss of a coin is a perfect isolated thing. What it did in the past will not affect the current toss. The chance is simply 1-in-2‚ or 50%‚ just like ANY toss of the coin. So each toss is an Independent
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the use of statistics and the study of probability. He gives us historical background on the development of probability studies tied to games of chance; basic ideas of probability that are part of our mental arsenal and can be used in all kinds of unexpected situations; implications on statistics. First of all‚ he talks about that probabilities take their place in every part of our life‚ how can we put statistics in our life‚ how can we calculate the probability‚ which is born in the study of games
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1. A quality control engineer knows that 10% of the microprocessor chips produced by a machine are defective. Out of a large shipment‚ five chips are chosen at random. What is the probability that none of them is defective? What is the probability that at least one is defective? 2. An automated manufacturing process produces a component with an average width of 7.55 centimeters‚ with a standard deviation of 0.02 centimeter. All components deviating by more than 0.05 centimeter from the mean must
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CONTROL CHARTS FOR VARIABLES TUTORIAL 4 : CONTROL CHARTS FOR VARIABLES 1. Control charts for X and R are to be established on a certain dimension part‚ measured in millimeters. Data were collected in subgroup sizes of 6 and are given below. Determine the trial central line and control limits. Assume assignable causes and revise the central line and control limits. SUBGROUP NUMBER 1 2 3 4 5 6 7 8 9 10 11 12 13 X 20.35 20.40 20.36 20.65 20.20 20.40 20.43 20.37 20.48 20.42 20.39 20.38 20.40
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2010 Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Key Words: subjective probability‚ confidence‚ belief‚ frequency‚ verbal expression Abstract There are everyday expressions such that ’probably’; ’might be’;’could be’ etc.‚ to describe the strengths of one’s confidence in the occurrence of events in the future. On the other hand there are probability theory expressions
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uniformly distributed over (0‚ 10)‚ calculate the probability that a. X < 3 (Ans: 3/10) b. X > 6 (Ans: 4/10) c. 3 < X < 8. (Ans: 5/10) 2. Buses arrive at a specified stop at 15-minute intervals starting at 7 AM. That is‚ they arrive at 7‚ 7:15‚ 7:30‚ 7:45‚ and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:30‚ find the probability that he waits d. Less than 5 minutes for a
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1 Why probability and statistics? Is everything on this planet determined by randomness? This question is open to philosophical debate. What is certain is that every day thousands and thousands of engineers‚ scientists‚ business persons‚ manufacturers‚ and others are using tools from probability and statistics. The theory and practice of probability and statistics were developed during the last century and are still actively being refined and extended. In this book we will introduce the basic notions
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BBA (Fall - 2014) Business Statistics Theory of Probability Ahmad Jalil Ansari Business Head Enterprise Solution Division Random Process In a random process we know that what outcomes or events could happen; but we do not know which particular outcome or event will happen. For example tossing of coin‚ rolling of dice‚ roulette wheel‚ changes in valuation in shares‚ demand of particular product etc. Probability It is the numeric value representing the chance‚ likelihood‚ or possibility
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