"Detrmine the probability that" Essays and Research Papers

Summary Chapter 1-7 Chapter 1 * Population – consists of members of a group which you want to draw a conclusion * Sample – portion of population * Parameter – numerical measure that describes a characteristic of a population * Statistic – numerical measure that describes a characteristic of a sample * Descriptive statistics – collecting‚ summarizing and presenting data e.g. survey * Inferential statistics – drawing conclusions about a population based on sample data

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die is rolled‚ find the probability of getting a a. 5 b. 6 c. Number less than 5 2. When a card is selected from a deck‚ find the probability of getting a. A club b. A face card or a heart c. A6 and a spade d. A king e. A red card 3. In a survey conducted at a local restaurant during breakfast hours‚ 20 people preferred orange juice‚ 16 preferred grapefruit juice‚ and 9 preferred apple juice with breakfast. If a person is selected at random‚ find the probability that she or he prefers

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SIDS31081 - Statistics Refresher 2006 – 2007 Exercises (Probability and Random Variables) Exercise 1 Suppose that we have a sample space with five equally likely experimental outcomes : E1‚E2‚E3‚E4‚E5. Let A = {E1‚E2} B = {E3‚E4} C = {E2‚E3‚E5} a. Find P(A)‚ P(B)‚ P(C). b. Find P(A U B) . Are A and B mutually exclusive? c. Find Ac‚ Bc‚ P(Ac)‚ P(Bc). d. Find A U Bc and P(A U Bc) e. Find P(B U C) Exercise 2 A committee with two members is to be selected from a collection of 30

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Example: large standard deviations let us conclude distribution has lots of variability * Now‚ we will test relationships based on probability Probability – mathematical measure of the likelihood of an even occurring * Chance of the desired even occurring written in %‚ proportion‚ or ration. * 40% chance of rain * Batting average .313 * Probability of a royal flush is

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idea of probability to describe the outcomes of real life phenomena has been an invaluable tool for many different fields. The concern of the present discussion is blackjack. Though to some a seemingly trivial topic‚ the use of probabilistic strategies in blackjack and other gambling games has earned many players a fair amount of reward (Thompson‚ 2009). Indeed‚ some of the earliest applications of probability were motivated by gambling games (Jardine‚ 2000). In blackjack‚ the use of probability underlies

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the ‘B’ analogous event for a Master Card. Suppose that P(A)=0.5; P(B)=0.4; P(AB)=0.25 a. Compute the probability that the selected individual has at least one credit card. b. What is the probability that the selected individual has neither type of card? c. Describe in terms of A and B‚ the event that the selected student has a Visa Card but not a Master Card and then calculate the probability of this event. Solution: a.

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observe his or her maior. a. What is the probability he or she is a management major? b. Which concept of probability did you use to make this estimate? 4. A large company that must hire a new president prepares a final list of five candidates‚ all of whom are equally qualified. Two of these candidates are members of a minority group. To avoid bias in the selection of the candidate‚ the company decides to select the president by lottery. a. What is the probability one of the minority candidates is hired

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Subject : Probability and Statistics = PS Strand 1: Introduction to Statistics. Strand 2: Organizing Data. Strand 3 : Averages and Variation Strand 4: Elementary Probability Theory. Strand 5: The Binomial Probability Distribution and Related Topics. Strand 6: Normal Distributions. Strand 7: Introduction to Sample Distributions. Benchmark Code Subject (M‚ S‚ SS‚ LA).Grade#.Strand#.Standard#. Benchmark# Example: PS.1.4.3 – Probability and Statistics‚ Strand 1‚ Standard 4‚ Benchmark 3 Strand: 1 INTRODUCTION

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Special Probability Distributions Chapter 8 Ibrahim Bohari bibrahim@preuni.unimas.my LOGO Binomial Distribution Binomial Distribution In an experiment of n independent trials‚ where p is a the probability of a successful outcome q=1-p is the probability that the outcome is a failure If X is a random variable denoting the number of successful outcome‚ the probability function of X is given P X  r  nCr p r q nr Where q=1-p r=0‚1‚2‚3‚….. X~B(n‚p) The n trials

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Can be used to steal the user’s funds. Low/medium risk‚ high probability Can be used by terrorist organizations for money laundering. Very high risk‚ medium possibility Loss of brand reputation to the bank as being less secure. medium risk‚ medium possibility Account Numbers of Bills stored in Bill Pay Used to access bill information and change information as personal attack on individual. Low/medium risk‚ medium probability Used to access additional information about user through user’s

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