Suppose we are interested in the relationship between an individual's brown hair and skincolor. Based on a random sample of LIU students, we have the following joint probabilitydistribution given by:X-degree of brown hair color2340.120.010.050.070.070.120.090.16Y- degree of skin color20.1230.16| 0.03The probability that an individual with degree of brown hair 2 has a degree of skin color1 is:None of these0.2630.1670.3

From the given information, X: degree of brown hair color Y: degree of skin color

Answered: Suppose we are interested in the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the number of daily newspapers published in cities of over 100,000 populationhas the probability distribution given in Table 1. Find the expected value and standard deviationof the number of newspapers published in these large cities. Hypothetical Probability Distribution of Number of Daily Newspapers Published in Large Cities: Number of Papers 1 2 3 4 5 6 Proportion of cities 0.440 .360 .132 .056 .008 .004
The average time spent by a car salesman each weekend is normally distributed with a mean of 12.5 hr and a SD = 3 hr What is the 2-decimal % probability that an individual will work less than 11 hr? Part 2 of 3: What is the 2-decimal % probability that a worker will work more than 9 hours? Part 3 of 3: What is the 2-decimal % probability that the mean of a sample of 33 workers will be below 14?
Say someone has made a 4-sided die, and states the following probabilities of getting a side (1,2,3, or 4). In each part, state whether a proper probability distribution was used. Why or why not. a. P(1) = 0.25, P(2) = −0.10, P(3) = 0.35, P(4) = 0.25 b. P(1) = 0.25, P(2) = 0.25, P(3) = 0.25, P(4) = 0.25 c. P(1) = 0.25, P(2) = 0.10, P(3) = 0.35, P(4) = 0.25
Every year, the veterinary hospital at a major research university treats a number of horses that have stones called enteroliths in their guts. A sample of 20 years shows that on average about 2% of horses presenting at the veterinary hospital are treated for enteroliths. Some breeds of horses seem more prone to developing enteroliths than others. Below is a table with the distribution of enteroliths among the breeds. Breed Fijian Thoroughbred Morgan Quarter horse Probability 0.4 0.2 0.3 The probability that a horse arriving at the veterinary hospital is not a Fijian,Thorougbred, or a Quarter horse is:
3. A quality engineer exams a batch of manufactured parts. Each part has a probability of 0.9 to pass the exam and 0.1 to fail the exam. (a) What is the probability of only 1 part out of 5 parts passing the exam? (b) What is the probability distribution of n parts out of 5 parts passing the exam? Please write down the pmf and cdf of the distribution. (c) What is the average number of passing parts out of every 10 parts?
We have seen that nonindependence of alleles (possibly caused by differential mortality of genotypes) can lead to deviations from normal proportions of offspring genotypes. Find the probability that a surviving offspring from a selfing heterozygote with genotype Aa has zero, one, or two A alleles. Which cases follow a binomial distribution? Suppose that all of the homozygous offspring survive and half of the heterozygous offspring survive.
A distribution of the probability of race and/or ethnicity of the inmates on Ohio’s death row is: African American: 0.42, Caucasian: 0.43, Native American: 0.01, Asian: 0.01 Assuming no other ethnicity group is represented, what is the probability of a death row inmate being Latino? What is the probability that a death row inmate is not an African American? What is the probability that a death row inmate is not a Caucasian?
A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. Number of Days Absent Probability 0 0.60 1 0.20 2 0.12 3 0.04 4 0.04 5 0.00 What is the mode of the distribution?
Every year, the vetrinary hospital at a major research university treats a number of horses that have stones called enteroliths in their guts. AS sample of 20 years shows that on average about 2% of horses presenting at the veterinary hospital are treated for enteroliths. Some breeds of horses seem more prone to developing enteroliths than others. Below is a table with the distribution of enteroliths among the breeds. breed Fijian Thoroughbred Morgan Quarter Horse probability 0.4 0.2 0.3 ? The probability that a horse arriving at the veterinary hospital is not a Fijian, Thoroughbred, or a Quarter horse is?
A random experiment was run 23 times with groups of 24 mice. Each time the experiment was run, 4 mice were initially infected with a disease; the remaining mice were susceptible to contracting the disease. After one day, they measured the number of number of newly infected mice (not including those originally infected). They found the following frequency table: Newly infected mice Newly infected mice 4 5 6 7 8 9 10 11 Frequency 1 2 2 6 5 4 2 1 Determine the expected probability of transmission for this particular variant of disease. Round your answer to three decimal places.
suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied with their lives, what is the probability that at least 610 adults in our sample are very satisfied with their lives?Let X be the number (out of 1010) of adults who are very satisfied with their lives. What distribution should X have? Why?
Whether a customer at a carry-out restaurant leaves a tip is a random variable. The probability that a customer leaves a tip is 0.42. The probability that one customer leaves a tip is independent of whether another customer leaves a tip. Let leaving a tip represent a “success” and not leaving a tip represent a “failure.” Does this problem describe a discrete or continuous random variable? What kind probability distribution fits the random variable described in this problem? What is the probability that a customer does not leave a tip? Calculate the mean and variance of this distribution. What is the probability that on a day with 100 customers, exactly 50 of them leave a tip?

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