An unfair die is rolled repeatedly. Assume that the rolls are independent and the probability of getting a ‘3’ is 0.75 a) What is the probability that that the first time getting a ‘3’ is on the 4th roll? b) What is the probability that the third ‘3’ is obtained on the 5t

An unfair die is rolled repeatedly. Assume that the rolls are independent and the probability of getting a ‘3’ is 0.75 a) What is the probability that that the first time getting a ‘3’ is on the 4th roll? b) What is the probability that the third ‘3’ is obtained on the 5t

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

Related questions

Q: A researcher had conducted a study at one the Orang Asli settlements in Pahang. He stays at one of…

A: "Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Let X be the number of times '4' is rolled out of a total of 8 rolls. What is the probability that…

Q: Assuming the probability of a male birth as find the probability that a family of 3 children will…

Q: How about for b) b) What is the probability that a defective part is produced at this factory?

A: From the given information, the probability of products producing by first machine is 0.35. The…

Q: Vinny has a chest which contains 5 orange balls and 4 yellow balls. He draws balls one at a time…

A: We have given that Number of orange balls = 5 Number of yellow balls = 4 Total number of balls = 5…

Q: (a) Suppose that you throw 4 dice. Find the probability that you get at least three 3s. (b) Suppose…

A: Given data : For first question : Sample size , n = 4 We have to find the probability that you get…

Q: The probability of a man hitting a target is If he fires 7 times. what is the prob- ability of his…

Q: a) What is the probability that at least five people arrive during a 35 minute period? (Answer in 4…

A: The number of people arriving for treatment at an emergency room has a rate of six per hour. Here…

Q: The amount of time an A&M student spends looking for a lost piece of paper per month is N(1610,…

A: Given,meanμ=1610standard deviation(σ)=160sample size(n)=27

Q: A manager of a café estimates that an average regular customer visits the store 4 times in a week (7…

A: GivenOn average customer visits the store 4 times in a week(7 days)λ=4 times per weekLet "x" be the…

Q: A jar contains 6 red balls and 4 green balls. Two balls are chosen from the jar, with replacement.…

Q: The probability of an archer to miss the target is 75%. a) What is the expected number of attempts…

A: Given - Probability (miss the target) = p = 75% = 0.75

Q: Q) Find the probability that a person flipping a coin gets (a) the third head on the seventh flip

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Given that, The chance of rain is 20% The chance of it being sunny is 60% The chance of it being…

Q: The switchboard in a law office gets an average of 5.4 incoming phone calls during the noon hour on…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Q // an assembly company has 10 machines in operation all the time. Assume that the probability that…

A: In question, Given that an assembly company has 10 machines in operation all the time. Assume that…

Q: The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For…

A: We have to find out given probability.

Q: 32. A die is thrown twice. Then the probability that 5 will come up at least once is: (a) 11 36

A: Since you have posted multiple questions, we will provide the solution only to the first question…

Q: The probability that a bomb will not strike the target is 3/4 i) If six bombs are dropped what is…

A: Given that the P(not striking the target)=3/4 P(striking the target)=1/4 i) n=6 The probability of…

Q: A baseball player’s batting average is 0.320 (32%). This player batted 100 times. 1) Find the…

A: Solution Given That, A baseball player’s batting average is 0.320 (32%). This player batted 100…

Q: What is the probability of being dealt four cards of one denomination and two of another in six-card…

A: Given data: What is the probability of being dealt four cards of one denomination and two of…

Q: he probability that a civil work will be completed on time (W) or there is rain (R) is 0.8. The…

Q: Q // an assembly company has 10 machines in operation all the time. Assume that the probability that…

A: Given: An assembly company has 10 machines in operation all the timen =10 The probability that any…

Q: table below shows the distribution of responses by party and ideology, where the counts have been…

A: Note: As you have posted multiple sub-parts, and already correctly answered the first one, we have…

Q: A single die is rolled 3 times what is the probability that a 5 will show atkeast once

A: A single die is rolled 3 times what is the probability that a 5 will show atleast once

Q: a. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic…

A: Given , the probability that the customer will order a non alcoholic beverage = 0.53 sample size…

Q: 1) In a class, the probability that a student reviewed only his/her lesson a night before the quiz…

A: 1) The probability that a student reviewed only his/her lesson a night before the quiz is 0.7, then…

Q: Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F…

A: We have to find Pand F and also Find the probability that the first occurrence of event F (rolling…

Q: Assume that when adults with smartphones are randomly selected, 36% use them in meetings or classes.…

A: We have to find given probability..

Q: The probability that a newly matriculated student will not get to the second year of their studies…

Q: The probability that a person in the United States has type B+ blood is 13%. Five unrelated people…

Q: A BOX CONTAINS 12 BALLS, INCLUDING 8 RED AND 4 GREEN. TWO BALLS ARE DRAWN RANDOMLY FROM THE BOX ONE…

A: Given,no.of red balls=8no.of green balls=4Total no.of balls=12

Q: 9. Assume you throw one “fair" astragalus 10 times. What is the probability that you get a "6" in 5…

A: Assume you throw one fair astragalus 10 times. Each throw is independent of other. Given that, the…

Q: (a) A card is chosen from a standard deck replaced and a second card is chosen. Find the probability…

A: i) Here, No. of cards that is spade =13 No. of cards that is "10"=4 Total no. of cards in a standard…

Q: 8. At the outset of a billiard game, it is estimated that the probability of a professional billiard…

A: Given,the probability of a professional billiard player sinkinga ball in a pocket is 0.85 .A random…

Q: An old deck of cards is missing the King of spades, but has every other card. What is the…

A: An old deck of cards is missing the king of spades but has every other card.

Q: n an experiment where 2 balls are drawn successively at random without replacement from a 2 +…

A: Given that 2 balls are drawn randomly without replacement. There are 2 Red, 3 Green and 2 blue…

Q: Customers arrive randomly at a checkout counter at an average rate of 2 every five minutes. a)…

Question

An unfair die is rolled repeatedly. Assume that the rolls are independent and the probability of getting a ‘3’ is 0.75
a) What is the probability that that the first time getting a ‘3’ is on the 4th roll?
b) What is the probability that the third ‘3’ is obtained on the 5th roll?
c) What is the expected number of rolls before the third ‘3’ is obtained?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

You roll a fair six sided die 10 times. What is the probability that you roll a 1 exactly two times given that you roll a 1 at least once?
What is the probability that X equal 2?
Suppose you have an unusual die with four faces marked 1 and two marked 2. You roll it 20 times. (Round to four decimal places.) What is the probability that you get 14 ones? 14 twos? What is the probability that you get 8 ones? 8 twos?
Findi) the joint probability function of ?1and ?2.ii) the probability that less than 3 heads will occur and the student will win R1 or less.
What is the mean for the probability experiment that the first one shows up on 5throll, when rolling a 6D (6 sided die)?
Assume that the probability of getting a job that you applied for is 19%. Give all answers to at least 3 decimal places. a) What is the average number of jobs you need to apply to, before you get one job offer? b )If you have a criminal record, then your probability of getting a job that you applied for is 1/5 of your probability of getting a job without a criminal record. What is the average number of jobs you need to apply to, before you get one job offer if you have a criminal record?
I only need e) and f)
Please answer all parts and round your answers to 4th decimal points. Thank you!
The probability of Pakistan to win a KABBADI match against India is 0.9117. Both teams played a series of 7 Matches, Find probability that Pakistan wins 1. exactly 4 matches 2. at most 2 matches 3. at least 5 matches
A shipment of 40 inexpensive digital watches, including 6 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in K the sample are found defective. What is the probability that the shipment will be rejected? The probability the shipment will be rejected is (Simplify your answer Type an integer or decimal rounded to two decimal places as needed) ***
MAN Assume that when human resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 7 human resource managers are randomly selected, find the probability that exactly 4 of them say job applicants should follow up within two weeks. The probability is (Round to four decimal places as needed.)
Correct and detailed answer will be Upvoted else downvoted. Thank you!