For numbers 3 - 5. Two balls are drawn in successionwithout replacement from an urn containing 5 red ballsand 6 blue balls. Let Z be the random variablerepresenting the number of blue balls.3. Which of these is NOT an element (is not a number ofblue balls) of Z?А. ОВ. 1С.2D. 34. How many possible elements are there in the samplespace of Z?А. 1В. 2C. 3D. 45. What is the probability of getting 1 blue ball only?В. 1/4A. 0/4C. 2/4D. 3/4

Probability = Favourable outcomes / sample space

Answered: For numbers 3-5. Two balls are drawn in…

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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1. NBC News reported on May 2, 2013, that 1 out of 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 25 children and let X be the number in the sample who have a food allergy. Then X~ Bin(25, 0.05).
Suppose you rolled a fair six-sided die a few times and recorded the results. (You would have a collection of numbers 1-6.) Now, suppose you wanted to average these numbers. What value would you expect? If the die was rolled 6 times and the results were: 1, 4, 2, 2, 3, 2, then the average of this sample of rolls would be 2.333. This experiment could be peformed again: 6, 5, 2, 1, 1, 4. Now, the average of this sample is 3.167. Obviously, these small samples have a lot of variation in them; however, is there a way to calculate the expected average? If we were to construct a very large sample, rolling this die 1 million times, what would the expected value (mean) be? Luckily, the rules of probability allows us to do this calculation without actually having to roll the die 1 million times! Below, you will find a probability table where all of the possible outcomes from the die are listed. The first column contains the possible outcomes on the die, the second column contains the…
Suppose that a population consists of only 5 members and the values of are as follows. Member 1 2 3 4 5 Y 5 3 5 2 2 a) If a sample size of 3 is taken from the population through random sampling, how many ways can we select a sample? b) Enumerate all possible outcomes of a random sampling of size 3 (in a table). For each outcome, compute for the sample mean ( and sample variance. No need to show solution in this part
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Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at random and without replacement from the box and note the two numbers observed. The sample space S consists of the three equally likely outcomes {(1, 2), (1, 3), (2, 3)} (disregarding order). Let X be the sum of the two balls selected. What is the mean of X? Select one: a. 2.0 b. 2.33 c. 4.0 d. 4.33
In a lottery game, a player will pick at random a number from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. If the number picked is prime, the player wins P10. If the number picked is composite the player losses P10. If the number picked is 1 which is neither prime or composite, the player neither loss nor win anything. Let the random variable ? have the values 0, -10, & 10 representing the possible winnings of the player. Determine whether the game is advantageous or disadvantageous to the player. Please give the reason for your answer.
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