9. Two fair 4-sided fair die are rolled. The outcomes of this experiment are as follows: S= (1,1), (1,2), (1,3), (1,4) (2,1), (2,2), (2,3), (2,4) (3,1), (3,2), (3,3), (3,4) (4,1), (4,2). (4,3), (4,4) Let the random variable, X, denote the sum of the two numbers rolled. [4] a. Find the probability distribution of the random variable associated with this experiment (list the valu the random variable X, along with its probability). [2] b. Find P(XS 3).

9. Two fair 4-sided fair die are rolled. The outcomes of this experiment are as follows: S= (1,1), (1,2), (1,3), (1,4) (2,1), (2,2), (2,3), (2,4) (3,1), (3,2), (3,3), (3,4) (4,1), (4,2). (4,3), (4,4) Let the random variable, X, denote the sum of the two numbers rolled. [4] a. Find the probability distribution of the random variable associated with this experiment (list the valu the random variable X, along with its probability). [2] b. Find P(XS 3).

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...

See similar textbooks

Similar questions

An ice cream parlor serves 10 flavors of ice cream. Carrie and Jimmy each randomly and independently choose 3 out of those 10 flavors. Use the method of indicators to find the expected number of flavors chosen by both Carrie and Jimmy and simplify your final answer**** ****Each person has to choose 3 different flavors (Vanilla- Vanilla-Chocolate is not ok) but their flavors are allowed to overlap (Chocolate-Vanilla-Strawberry for Carrie and Chocolate- Blueberry-Mint for Jimmy is ok). The order of flavors doesn’t matter.
Health researchers wish to compare the efficacy of the Moderna vs. Pfizer Vaccine. Here are 4 possible reasons that it would not make sense to run a matched pair experiment for such a study. Pick the TWO that are correct. 1: You would not be able to find twins willing to be part of such an experiment 2: You could not get two large independent samples for the purposes of comparison. 3: It would be hard to match two people for this test, since researchers do not yet understand what individual factors contribute to the variation of immunity to this disease. 4: It would make no sense to test both vaccines on one person and compare the outcomes. The two that are correct are: Oa. 1 and 4 The two that are correct are: 1 and 3 Ob. The two that are correct are: O c. 1 and 4 The two that are correct are: O d. 2 and 3 The two that are correct are: 3 and 4 O e.
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 210 people who snore participating in the experiment. Using a table of random digits starting from the first row and column, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison. Which number range would be needed to label the subjects correctly? O 0-2 O 1-3 O 000-210 O 001-210
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
ess Statistics 1 (section20) || spring21 Suppose all 8 possible outcomes of an experiment are equally likely and denoted as E,, E2, E3, E4, Es, Eg, E7, Eg. If A = {E2, E3, E4, E5} and B = (E, E,, E,), then find P(A NB). a. 0.375 Ob. 0.125 OC. 0.250 O d. 0.625
7. If an experiment the events A and B can both occur then a. P(A U B) = P(A)P(B|A) b. P(A N B) = P(A)P(A|B) c. P(AN B) = P(A)P(B|A) d. P(A U B) = P(B)P(B|A) %3D
1) Given two events A and B: P(A) = .3, p(B) = .5, P(A|B) = .7 Then a) P(A n B) = b) P(B|A)=
Hello can you please help me with this problem because I don't understand it and i don't understand the parts as well can you please do this step by step and can you label the parts as well. Can you please do this step by step and can you label the parts as well.
(a) In an experiment, a pair of dice (green and blue) are tossed and the numbers that come up are recorded. Assume that the first outcome is for the green die whereas the second outcome is for the blue die. (i) List the sample space S; (ii) List the elements for event X = {sum is greater than 8}; (iii) List the elements for event Y = {2 occurs on either die or both}; (iv) List the elements for event Z= {number greater than 4 comes up on the green die}; (v) List the elements corresponding to the event X Z; (vi) List the elements corresponding to the event Y N Z;
Questionl: Three varieties A,B, C of a crop are tested in a randomized complete block design with four replications, the layout being given in the diagram appended. The plot yields in pounds are also indicated therein. Analyse the experimental yields and state your conclusions? 1 A 32.1 C 34.2 B 31.7 98 Replications 2 C 30.7 A 17.0 B 32.7 80.4 3 A 40.8 B 25.3 C 48.2 114.3 C 59.6 A 26.8 134.3 4 B 47.9 151.1 136.1 139.4 427
Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain. This statement ---Select--- is is not correct because P(odd) = and P(even) =