A 6 sided die is thrownrepeatedly, until the first time (if ever) that a‘1’ is tossed. Generalize a formula for the probability of the first ‘1’ occurring at the n-th toss or later

Q: a jar contains 6 red marbles and 15 blue marbles. If you reach in the jar and pull out 2 Suppose…

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Q: From a box containing 4 black balls and 5 white balls, two balls are drawn one at a time. Find the…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: Suppose a jar contains 138 red marbles and 153 blue marbles.  If you reach in the jar and pull out 2…

A: 138 + 153 = 291 marbles in total. At our first pull, there is an 138/291 chance that a red will be…

Q: A die is continuously rolled until the total sum of all rolls exceeds 225. What is the probability…

A: Given data : A die is continuously rolled until the total sum of all rolls exceeds 225. To find:…

Q: According to a recent survey, 80% of all teenagers own a smartphone. If we select 10 teenagers at…

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Q: A fair die with 6 sides is rolled 3 times, and every time it lands on a 4. Find the probability…

A: Introduction: The given die is fair and has 6 sides. Thus, the probability of each possible outcome,…

Q: 8. Approximate the probability that exactly two people amongst a group of 365 people were born on…

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Q: find the probability that both are red.

A: Let , the jar contains 10 red marbles and 24 blue marbles. The total marbles are 10 red +24 blue =34…

Q: The probability that a randomly selected 40-year old female will live to be 41year old is 0.988…

A: Let p denote that the probability that a randomly selected 40-year old female will live to be 41…

Q: The averag companys page is selected at random: number of misprints per page reports is O.h If in a…

A: Let, X=the number of misprints per page. X follows a Poisson distribution with mean= 0.4

Q: 2000 independent rolls of a fair die will be made. Compute an approximation to the probability that…

A: Given N=2000 P=1/6

Q: According to a recent survey, 5 out of 60 people who purchase pet insurance are women. If 7 pet…

A: According to a recent survey, 5 out of 60 people who purchase pet insurance are women. If 7 pet…

Q: We will toss a fair 6-sided die repeatedyl and let X denote the number of 5s that we roll. What is…

A: This problem can be solved using Binomial distribution

Q: A 3-sided die is rolled twice and each time a number is recorded. Find the theoretical probability…

A: It is given that 3-sided is rolled twice and each time a number is recorded.

Q: In a survey year of married couples with earnings, 96% of all husbands were employed. Of all…

A: In that survey year of married couples with earnings, 96% of all husbands were employed. Of all…

Q: suppose a jar contains 5 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: A new surgery is successful 75 % of the time. If the results of 7 such surgeries are randomly…

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Q: Suppose a jar contains 12 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

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Q: In a certain country, the true probability of a baby being a boy is 0.537. Among the next nine…

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Q: Suppose a jar contains 13 red marbles and 12 blue marbles. If you reach in the jar and pull out 2…

A: Given: Red marbles = 13 Blue marbles = 12 Thus the total number of marbles = 13+12 = 25

Q: In a survey in a certain year of married couples with earnings, 91% of all husbands were employed.…

A: Let the events A and B denote "Husband is employed" and "Wife is employed". Given:  P(A)=Probability…

Q: Suppose a jar contains 10 red marbles and 13 blue marbles. If you reach in the jar and pull out 2…

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Q: Assume that when an adult is randomly​ selected, the probability that they do not require vision…

A: The probability that exactly 3 of them do not require a vision correction is obtained below:Here, do…

Q: In a certain​ country, the true probability of a baby being a boy is 0.533. Among the next four…

A: Given data, Probability of being a boy is =0.533 Thus, Probability of being a girl is =0.467 If n=4…

Q: An agent sells life insurance policies to five equally aged, healthy people. According to recent…

A: Given data, n=5 p=3/5 P(X=2)=?

Q: Suppose that a professional runner can finish a specific marathon in 108 minutes to 135 minutes with…

A: A professional runner can finish a specific marathon in 108 minutes to 135 minutes with any time in…

Q: The incidence of a certain disease is such that on the average 20% of workers suffer from it. If 10…

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Q: The probability that a man aged 50 years will die within a year is 0.01125. What is the probability…

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Q: A new surgery is successful 75% of the time. If the results of 9 such surgeries are randomly…

A: Given that,Probability, p = 75% = 0.75Sample size, n = 9

Q: A 4-digit PIN is selected. What is the probability that there is exactly one repeated digit and that…

A: In a 4 digit pin each of the positions can be filled with one of the 10 digits. Therefore one…

Q: When a new machine is functioning properly, only 3% of the items produced are defective. Assume that…

A: We are given,Probability of defective = p =3% = 0.03             Randomly selected sample size = n =…

Q: From a bag containing 4 black balls and 5 white balls, two ball are drawn one at a time. Find the…

A: Given that  Number of Black balls =4 Number of white balls =5  2 balls are drawn one at a time…

Q: Suppose a jar contains 18 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, A jar contains 18 red marbles and 36 blue marbles. Total marbles = 18…

Q: The probability of rolling an even number on a die is 1/2  . Does this probability mean that, if you…

A: Given: Probability of rolling an even number on a die…

Q: 1000 independent rolls of a fair die will be made. Given that the number 4 appears exactly 128 times…

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Q: new customer enters a shop every 4.1 minutes, on average. After a customer arrives, find the…

A: Given: X:TimeX~exp(λ) λ=4.1P(X<5.28)=? The formula for exponential probability is: fX(x)=1λe-xλ,…

Q: A weighted coin has been made that has a probability of 0.4512 for getting heads 5 times in 9 tosses…

A: As Prof. A. M. Gun said "If we have a sequence of trials each having two outcomes, say Success and…

Q: In a certain region, it rains on average once every 10 days during the summer. Rain is predicted on…

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Q: Calculate the probability that in i consecutive rolls of the same die, a six is not rolled twice in…

A: We need to find here six is not rolled twice in row and a six is rolled on the last roll.

Q: All 10 of the orangutans at a certain zoo contract a very serious disease which claims 84% of its…

A: Let "X" be the orangutans at this zoo that will survive.

Q: Suppose we know that births in a hospital occur randomly at a average rate of 1.8 births per hour.…

A: Given: Births occur randomly at a rate of 1.8 births per hour Number of births occur at 2 hours…

Q: Suppose that in a certain country, the literacy rate is 86%. If 10 people are selected at random,…

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Q: During the period of time that a local university takes phone-in registrations, calls come in at the…

A: Obtain the probability of three calls in five minutes. The probability of three calls in five…

Q: Suppose that a professional runner can finish a specific marathon in 108 minutes to 136 minutes with…

A: Since you have posted multiple questions, we only provide the answer of first question.please repost…

Q: A fair die is cast three times. What is the probability that it shows an even number on the first…

A: According to the given question:Outcomes when a die is rolled are: 1,2,3,4,5,6In the given question…

Q: A bank teller successfully completes 85% of all transactions and within four minutes and 26…

A: We have given that, P= 0.85   = percentage of successfully complete transactions within four…

Q: Suppose that a professional runner can finish a specific marathon in 105 minutes to 131 minutes with…

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Q: A die is tossed only once. What is the probability that either a number less than 5 or an even…

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Q: A new surgery is successful 85% of the time. If the results of 10 such surgeries are randomly…

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Q: The probability that Mr. Johnson goes for an evening walk on any given day during the winter is…

A: Formula : E(X) = np'

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.