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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Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
A supermarket has a self-service checkout area. The management knows that the self-service checkout area can handle 6 customers per minute without a line of customers forming--waiting to get into the self-service checkout area. If 7 or more customers arrive during any minute, some customers will have to wait in line.The random variable C is the count of customer arrivals at the supermarket's self-service checkout area per minute (between 2 pm and 4 pm on weekdays). From long record-keeping, and given usual conditions at its cashier-assisted checkout lanes during that time period, management knows that the population mean of C is 4 and that C has a Poisson distribution. Compute the probability that the supermarket will have a line of customers waiting to get into the self-service checkout area at any time between 2 pm and 4 pm on weekdays.
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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7. A random sample of 400 men and 400 women was randomly selected and asked whether they planned to attend a concert in the next month. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion of men who plan to attend a concert in the next month is the same as the proportion of women who plan to attend a concert in the next month. Use a = 0.05. Меп Womeп Plan to attend concert 230 255 Don't plan to attend concert 170 145
12. A biased coin with probability of heads p = 0.6 is thrown 10 times. Find the variance of the number of heads. Give the answer as an irreducible fraction p/q with integer p and q. Answer. enter number enter number
80. Florida State University has 14 statistics classes scheduled for its Summer 2013 term. One class has space available for 30 students, eight classes have space for 60 students, one class has space for 70 students, and four classes have space for 100 students. What is the average class size assuming each class is filled to capacity? Space is available for 980 students. Suppose that each class is filled to capacity and select a statistics student at random. Let the random variable X equal the size of the student’s class. Define the PDF for X. Find the mean of X. Find the standard deviation of X.
3-
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29. For any three events A, B and C, show that = P( - (ii) 30. For any three events A, B and C depend up the sample space S, such that BcC and P(A)>0. Show that P(Bs P%).

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