a) Mrs Legodi, a registered student at the University of Limpopo, tossed a fair coin threetimes. She decided to let X to be a random variable that takes the value 1 if the outcomeof a toss is a head and the value 0 otherwise. She also defined Y to be a random variableof the total number of heads in the three tosses.i) What will be her joint probability mass function (PMF) of X and Y?

Given information: No. of tosses=3X=random variableX=1, if outcome is head=0, elseY=total number of…

Answered: a) Mrs Legodi, a registered student at…

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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The probability that a person in the United States has type B+ blood is 10%. Three unrelated people in the United States are selected at random. Complete parts (a) through (d). (a) Find the probability that all three have type B+ blood. The probability that all three have type B+ blood is nothing. (Round to six decimal places as needed.)
A die is rolled 6 times. Find the probability of rolling no more than 4 fours. The probability of rolling no more than 4 fours is. (Type an integer or decimal rounded to four decimal places as needed. Round all intermediate values to four decimal places as needed.)
Suppose that six cups of yogurt are selected at random. What is the probability that at least three cups have at least 11.5 g of protein? Give your answer to at least three decimal places. The variable Y represents the number of cups out of the six randomly‑selected cups that contain at least 11.5 g of protein? The probabilty of at least 11.5 g of protein in a cup is 0.70.
need ans asap pls: A box contains six bags of Haribo Starmix and two bags of Haribo Goldbear. Justin chooses five bags at random without replacement. Let S be a discrete random variable counting the number of Starmix bags he ends up with and G a discrete random variable counting the number of Goldbear bags he ends up with. a) Find the probability mass function of G. Work out at least one of the probability values as a simplified fraction. b) Without doing any more calculations, write down the probability mass function of S and briefly explain.
12. The table shows the number of students who took the March Bar Test for the first time and thc numbcr of students who repact the exam. Passed Failed Total 6458 2058 First time 4427 2252 1845 407 Repeat Total 8737 4834 3903 a. )Find the probability that a student failed, given that the student took the exam for the first time. b.) Find the probability that a studnt repeated the exam, given the student passed.
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Of the 45 students enrolled in a statistics class last semester, 21 received a high grade and 24 used the recommended textbook. 10 of those who used the recommended textbook also received a high grade. Report answers accurate to 4 decimal places. What is the probability that a randomly selected student from the class: a) did not use the recommended textbook?b) used the recommended textbook but did not receive a high grade?c) either used the recommended textbook or received a high grade?d) neither received a high grade nor used the recommended textbook? If two students were selected from the class, one after the other and without replacement, what is the probability that: a) the second student used the recommended textbook given the first student also did?b) the second student used the recommended textbook given the first did not?c) both students used the recommended textbook?d) only the second student received a high grade?e) only one of the two students received a high grade?f)…
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A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 90 relays are selected at random from those in use by the company, find the probability that at most 59 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)
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