Activity 2:Determine the following whether Discrete orContinuous Random Variable:1. Box A and Box B both contain the numbers1,2, 3 and 4. Construct the probability massfunction and draw the histogram of the sumwhen one number from each box is taken ata time, with replacement.2. Write the probability distribution of therandom variable Q defined by the outcomesof rolling a fair die.

Let X can be the discrete (or) continuous random variable. A discrete random variable (X) can take…

Answered: Activity 2: Determine the following…

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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There are eleven 6-sided dice, thirteen 10-sided dice, and five 20-sided dice in a brown paper bag. If one is chosen at random, construct a probability distribution displaying the probability of picking each die. Let X be the number of sides on the chosen die. Express your answer as a fraction or decimal rounded to two places. X 6 10 20 P(X) A Enter your answer for A in Blank #1. Enter your answer for B in Blank #2. Enter your answer for C in Blank #3.
Section: District: Construct the probability distribution of the situation below: I1. Comle ar drawn in succession without replacement from an urn containing 5 white balls and 6 w balls Let B be the random variable representing the number of black balls. Construct the probability distribution of the random variable B. at sha S= {WW, WB, BW, BB} uli 1 OUTCOMES al VALUE OF VARIABLEB 1. 2. 5. 6. 3. 4. 7. 8. NO. OF BLACK BALLS FREQUENCY 9. 12. P(B) 10. 16. 13. 11. 17. 14. ΤΟΤΑL 15. 18. 19. 6709
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The random variable X can take on the values 2, 4 and 6, and the random variable Y can take onthe values 2, 6 and 10. Their joint probability distribution is given by the following table:Y2 6 10X2 0.10 0.05 0.104 0.10 0.15 0.256 0.10 0.10 0.05a. Describe in words and notation the event that has probability 0.25 in the table.b. Calculate the marginal distribution of X.c. Calculate ?ሺ? ൒ 4ሻ.d. Calculate the population mean of X.e. Calculate the conditional distribution of Y given X=2.f. Calculate E(Y|X=2).
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. child(ren) (Round to one decimal place as needed.) X 0 1 2 3 4 5 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. P(x)…
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age Number of Multiple Births 15-19 90 20-24 512 25-29 1633 30-34 2839 35-39 1842 40-44 379 45-54 115 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)=0.6320.632 (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=nothing (Type an integer or decimal rounded to three decimal places as needed.)
statistic rondom variables
Part C
K The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age 15-19 20-24 25-29 30-34 35-39 40-44 45-54 Number of Multiple Births (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)= (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) = 90 510 1622 2838 1845 373 119
Number 2 and 3
A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 4 5 6 7 1 1 13 5 a. Determine the probability distribution of the random variable Y. 4 6. 7 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 6, a value less than 6, and a value of at least 6. The event that Y takes on the value 6 can be represented as The event that Y takes on a value less than 6 can be represented as The event that Y takes on a value of at least 6 can be represented as c. Find P(Y = 6), P(Y 6). P(Y = 6) = (Type an integer or a decimal. Do not round.) P(Y<6) = (Type an integer or a decimal. Do not round.) P(Y 2 6) = (Type an integer or a decimal. Do not round.)
Let A be a random variable corresponding to the sum of the outcomes of two independent rolls of a fair 6-sided die (numbered from 1 to 6). Determine the variance of A.

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