To investigate the relation between hair color and eye color, the hair color and eye color of 5383 persons were recorded. The dataare given in the following table:Hair Color...EyeColor12Light1168825305Dark57313121200a. Determine the joint and marginal probability distributions of X and Y.b. P(X + Y = 5)C. P(1 < Xs 3, 1

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Answered: To investigate the relation between…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Below is a probability distribution for the number of failures in an elementary statistics course. Determine the following probabilities: a. P(X= 2) = b. P(X 2) = e. P(X = 1 or X = 4) = f. P(1 ≤X ≤ 4) = X 0 1 2 3 4 P(X=x) 0.41 0.18? 0.05 0.15 ab ab 12
Suppose we are interested in the relationship between an individual's brown hair and skin color. Based on a random sample of LIU students, we have the following joint probability distribution given by: X-degree of brown hair color 2 3 4 0.12 0.01 0.05 0.07 0.07 0.12 0.09 0.16 Y- degree of skin color 2 0.12 3 0.16 | 0.03 The probability that an individual with degree of brown hair 2 has a degree of skin color 1 is: None of these 0.263 0.167 0.3
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
The following table shows the joint probability distribution of X and Y, where Y is the income level of a sample of countries, and X represents whether the countries' public debt to GDP ratio is high (above 100%) or low (below 100%) Debt Ratio(X) Income(y) High Low High income 0.24 0.29 Low Income 0.12 0.35 Question 2: Find the probability that a given country is classified as high-income, given that it has a low debt ratio
A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c). 1345788 2012 23457889 3001112233445577789 40012234555567889 Key: 115 = 15 50 235578 61 367 7 87 (a) If a team is selected at random, find the probability the team scored at least 32 touchdowns. 0.651 (Round to three decimal places as needed.) (b) If a team is selected at random, find the probability the team scored between 40 and 49 touchdowns inclusive. 0.254 (Round to three decimal places as needed.) (c) If a team is selected at random, find the probability the team scored more than 70 touchdowns. 0.016 (Round to three decimal places as needed.) Are any of these events unusual? Select all the unusual events below. A. Scoring between 40 and 49 touchdowns inclusive is unusual. B. Scoring more than 70 touchdowns is unusual. C. Scoring at least 32 touchdowns is unusual. D. None of the events are unusual.
The following table represents the probability of the number of cars owned by a college student. Give your answer to at least 3 decimal places.
Suppose you were given this Joint Probability Distribution: x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength y=number of times city name is stated 1 2 3 Marginal probability distribution of y 4 0.15 0.1 0.05 0.3 3 0.02 0.1 0.05 0.17 2 0.02 0.03 0.2 0.25 1 0.01 0.02 0.25 0.28 0.2 0.25 0.55 Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Find the conditional mean and variance of Y|3 Mean = Variance =
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,
Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot.
3
6. A study was conducted to determine the number of emergency calls per day received by the Conestoga Valley Fire Company. The data are shown here: # of phone calls Frequency 5 7 8 28 32 21 10 (a) Construct a probability distribution for the number of phone calls. (b) Find the mean number of phone calls, rounded to the nearest tenth.

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