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    Probability

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    Probability

    If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb,bbg,bgb,bgg,gbb,gbg,ggb,ggg: 1. Construct a similar sample space for the possible gender outcomes (using b for boy a g for girl) of two children? 2. Assuming that the outcomes listed in part 1 were equally likel

    Probability of baby girls in a test of a gender selection

    In a test of a gender-selection technique, results consisted of 261 baby girls and 16 baby boys. Based on this result, what is the probability a girl born to a couple using this technique? Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?

    Exponential Probability and Confidence Interval of a Policy

    At a maintenance facility the standard policy with respect to the replenishment of a particular fluid is: When the amount of fluid remaining drops to 100 litres a replenishment order is placed and during the time the replenishment is on order the demand is exponential with 1/lambda = 80 litres a. What is the probability th

    Classify as dependent or independent occurrences

    Classify as dependent or independent (if two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent)? Randomly selecting a city in Texas Randomly selecting a county in Texas Is it - 2 events are independent because the occurence of one

    Bay's Theorem: Smoking Cigar

    In a county, 53% of adults are male. One adult is randomly selected for a survey involving credit card usage. 1) find the prior probability that the selected person is a female? P (female) = ______ (integer or decimal) 2) It is later learned that the selected survey subject was smoking a cigar. Also, 8.7% of males smo

    Probability

    A research center poll showed 80% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? The probability that someone does not believe that it is morally wrong to not report all income on tax returns is ____ (integer or decimal)

    Calculation of probability based on normal distribution.

    The number of shark attacks per year in the US is distributed approximately normal, with a Variance of 31.8 and a standard deviation of 10. A) Determine the number of shark attacks per year that separate the top 2% from the bottom 98 % B) Determine the number of shark attacks per year that constitute the middle 80% of shar

    Stat Market Survey: Microsoft Windows as the Operating System

    A survey conducted by Stat Market showed that 94% of computer users use Microsoft Windows as their operating system. Suppose 12 computers users are randomly selected. A) Find the probability that exactly 10 of them use Microsoft Windows B) Find the probability that 10 or more of them use Microsoft Windows C) Find the pr

    Analyze probability of guessing correct answers

    While taking a multiple choice test, I realize I cannot answer the 5 questions without guessing. There are 5 choices for each question, A B C D or E. Only one answer is correct for each questions. What is the probability of me guessing. A) Exactly two correct B) At most two correct C) All Five Correct

    Probabilities of number of fish caught at a particular location on a river

    At a particular location on a river the number of fish caught per man-hour of fishing effort has a Poisson distribution with ?= 1.3 fish per man hour. Find the following probabilities: a. That four fish will be caught by one man fishing 2 hours. b. That six fish will be caught by three men fishing 20 minutes each.

    Poisson distribution: Manuscript pages typing errors

    In a lengthy manuscript, it is found that only 2/3 of the pages contain no typing errors. Assume that the number of errors per page has a Poisson distribution. a. Find the expected number of errors per page? b. What percentage of pages has exactly one error?

    Probability of rejecting a sample of a roll of carpet

    An inspection plan is set up to to randomly sample 3ft^2 of a 1000 ft^2 carpet and to accept the carpet if no flaws are found in the 3 ft^2 sample. What is the probability that a roll of carpet with an average of 1 flaw per square foot will be rejected by the plan?

    Known mean population and an unknown variance

    A normal population has a known mean 50 and unknown variance. a) A random sample of n=16 is selected from this population and the sample results are x-bar = 52 and s= 8. How unusual are these results? Explain. b) A random sample of n=30 is selected from this population and the sample results are x-bar = 52 and s=8. How unu

    Probability in coin tosses, fair die rolling

    See attached file for complete problem set. 1. Find the probability of obtaining three heads. 2. What is the probability that he will be at his starting point after three flips of the quarter? 3. What is the expected number of 1's? 4. What is the standard deviation of the number of 2's?

    Discrete Probabilty Distributions for Lottery Payouts

    The payouts of the lottery and their corresponding odds and probabilities of occurrence are shown below. The price of a ticket is $1.00. Find the mean and standard deviation. Hint: don't forget to include the cost of the ticket and its corresponding probability. Divisions Payout Odds

    Microsoft, Apple and Google, descriptive, correlation matrix

    Date Google Close Microsoft Close Apple Close 31/12/2009 619.98 30.34 210.73 30/12/2009 622.73 30.82 211.64 29/12/2009 619.4 31.24 209.1 28/12/2009 622.87 31.02 211.61 24/12/2009 618.48 30.86 209.04 23/12/2009 611.68 30.78 202.1 22/12/2009 601.12 30.68 200.36 21/12/2009 598.68 30.38 198.23 18/12/2009 596.42 30.22 195.43

    How Much Time for Those Who Take the Examination

    The time it takes to answer an examination for admission to a school in a random variable that is presumed normal. On average, answer it completely takes people 70 minutes, with a standard deviation of 12 minutes. Determine how much time should be given to those who take the examination for 90% of the candidates can answer it

    Estimate difference in defective units from production lines

    Samples were taken of 400 units of each of the two production lines, X and W, of a manufacturing plant. The sample of the production line X had 40 defective units while the sample of line W had 80 defective units. Estimate the difference in the fraction of defective units produced by the two lines with a confidence coefficien

    Determine what is the minimum size of sample to be taken

    You want to determine the size of sample needed to estimate the mean of a population with an error no greater than 1.6, with a probability of 95%. Based on previous experience you know that the standard deviation of the population is 12.7 Determine what is the minimum size of sample to be taken.

    Probability & Statistics

    Wages of workers in a company have an average of $38,000 and a standard deviation of $2,500. They took in the company a sample of 60 workers' wages. a) Within which limits you would expect to find that the sample mean falls to a 95? b) Determine the probability of observing a sample mean more than $38,600. c) What would

    Statistics Probability 3 problems

    1. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in les

    Probability Distribution 3 problems

    1. The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Corvallis, Oregon. The probability of at least 3 accidents is ________. a. 0.25 b. 0.15 c. 0.75 d. 0.20 2. A certain type of new business succeeds 60% of the time. Suppos

    A General Rule Regarding the Amount of Capacity to Build

    4. Chapter 12: Suppose we are considering the question of how much capacity to build in the face of uncertain demand. Assume that the cost is $20 per unit of lost sales due to insufficient capacity and $2 per unit due to excess capacity. Also assume that there is a cost of $7 for each unit of capacity built. The probability of

    Binomial & Normal Probabilities..

    1. CNBA basketball player Steve Swoopes scores on 85% of his foul shots. If he gets eight foul shots during a game, what is the probability that he will score on exactly seven of them? 2. A manufacturing company uses a binomial distribution to predict the number of defective units among its products. What is a "success" in t

    Probability: American Intellectual Union

    See attached file. What is the distribution of individuals by gender? What is the "tenure with company" distribution by gender? What percentage of the survey participants are in each department? What is the sample mean for extrinsic value by gender? What is the probability that an individual will be between 16-21 year

    Desired failure rate, reliability analysis, confidence levels

    A "one-shot" device can be used only once; after use, the device (e.g. a nuclear weapon, space shuttle, automobile air bag) either is destroyed or must be rebuilt. The destructive nature of a one-shot device makes repeated testing either impractical or too costly. Hence, the reliability of such a device must be determined with m