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    Probability

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    Probability: Sample Spaces

    Please see http://www.isye.gatech.edu/people/faculty/Robert_Foley/classes/2027/hmwk2.pdf for the fully formatted problems. Probability: This is where the homework 2 is found. I couldn't attach the files for some odd reason. But I ONLY NEED HELP ON PROBLEM # 2, 3, AND 4. 2. Let the sample space be S = {1, 2, 3, 4, 5}. Defi

    Working with outcomes of probability.

    I have been given a question to break a pin code of 5 digits, and to list all the outcomes. The numbers are between Zero and Nine. How do I go about doing this?

    Probability - Expected Value

    Probability Distributions; Expected Values 1. Suppose 5 apples in a barrel of 25 apples are known to be rotten. a. Draw a histogram for the number of rotten apples in a sample of 2 apples. b. What is the expected number of rotten apples in a sample of 2 apples? See the attached file.

    Probabilities from proportion tables

    The following tables give the proportions of men and women in the U S population, and the proportions of men and women who have never married, in a recent year. men age proportion in population proportion never married 18-24 0.133 0.874 25-34 0.205 0.397 35-44 0.232 0.187 45-64 0.287 0.075 65 or over 0.142

    Working with conditional probability.

    The following table shows frequencies for red-green color blindness, where M represents "person is male" and C represents "person is color-blind." Use this table to find the following probabilities. ------------- M---------M'------- totals C----------0.035-----0.004------0.039 C'----------0.452-----0.509------0.961 Totals

    Probability Explanation with Each Roll

    You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers. Please answer with explanation, and show formula. 1. 6 then 5 2. 6 then 2 or 5 3. 6 then number less than 4 4. even number then 2 or 5 5. 1 and 1 6. even number then odd number

    Calculating the probability that the player wins in a game of craps.

    The dice game craps is played as follows. The player throws two die, and if the sum is seven or eleven then she wins. If the sum is two, three, or twelve, then she loses. If the sum is anything else, then she continues throwing until she either throws that number again (in which case she wins) or if she throws a seven in which c

    Conditional Probability Question

    Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards. Calculate the bridge hand of 6 of one suit, 4 of another, and 3 of another.

    Probability: Working with the standard distribution curve.

    A company installs 5000 light bulbs, each with an average life of 500 hours and a standard deviation of 100 hours, and a distribution approximated by a normal curve. Find the percentage of bulbs that can be expected to last the period of time between 540 hours and 780 hours? Less than 690 hours?

    Conditional probability: Example problem

    There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table. Find the probability that: a) All three are defective. b) Two are defective. c) That none are defective.

    Probability: Different Colours of Marbles

    Question: A jar contains 3 white marbles, 2 yellow marbles, 4 red marbles, and 5 blue marbles. Two marbles are picked at random. What is the probability that a.) Both are blue b.) Exactly 1 is blue c.) At least 1 is blue

    Probability: Considering Failure Rates

    The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed mathematics and physics. A student is selected at random. a.) If a student failed physics, what is the probability that he or she failed mathematics? b.)

    Working with probability and combinations.

    There are 5 rotten plums in a crate of 25 plums. How many samples of 4 of the 25 plums contain (a) Only good plums? (b) Three good plums amd 1 rotten plum? (c) One or more rotten plums?

    Calculating the Probability from a Given Situation.

    Mr. X invites 15 relatives to a party: his mother, three uncles, two aunts, four brothers, and five cousins. If the chances of any one guest arriving first are equally likely, find the following probabilities: a. the first guest is an uncle or a cousin b. the first guest is a brother or a cousin c. the first guest is an un

    Using set theory to solve for the probability.

    A survey of a group of military personnel revealed the following information: 95 officers 90 minorities 90 women 40 women officers 38 minority women 40 minority officers 23 women minority officers 16 caucasian male enlisted personnel How many personnel were: a. interviewed b. enlisted minority women c. male minorit

    Drawing Different Colored Balls

    A box contains 7 red, 3 green and 5 blue balls. a) If one ball is drawn at random, find the probability it is red. b) If two balls are drawn, find the probability both are green c) If two balls are drawn, find the probability one is red and the other is blue d) If two balls are drawn, find the probability both are re

    Marginal and Conditional Density

    A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic and other tobacco. The proportion of Turkish and domestic in a blend are random variables (X = Turkish and Y = domestic) with joint density function f (x,y) = { 24xy, 0 < or= x < or=1, 0 < or = y < or=1

    Probability with cards

    In a 2-card hand, what is the probability of holding only face cards? (Aces are not face cards)

    Lottery probability

    A lottery game contains 29 balls numbered 1 through 29. What is the probability of choosing a ball numbered 30?