What is the probability that in a race between 10 friends, Billy is first and Michael is last?

Q: A bag contains 4 red balls, 3 green balls and 5 blue balls. What is the probability of not getting a…

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Q: A chain of restaurants has historically had a mean wait time of 9 minutes for its customers.…

A: The random variable wait time follows normal distribution. We have to test whether the mean wait…

Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: GivenIn a pet storeNo.of puppies=6No.of kittens=9No.of gerbils = 4No.of parakeets = 7Total no.of…

Q: 8. A spinner is divided into 5 equal parts. If it is spun twice, find the probability of both spins…

A: if a spinner is spun twice than the possible outcomes are 25The possible outcomes that both spins…

Q: Use the given degree of confidence and sample data to construct a confidence interval for the…

A: Given that  n=569 , X=487

Q: Apply the knowledge you obtained from the discussion by solving the given problems below. 1. A 99%…

A: The random variable X follows normal distribution. We have to find the sample size for the different…

Q: Table 1. Tally sheet for single-coin toss (individual) Group of 10 throws Deviation from expected…

A: The given information is presented in the following table Group of 10 throws No of tails No of…

Q: 1. The scores for a standardized test are normally distributed with a mean of 85 and a standard…

A: Given data  Mean μ=85, standard deviations σ=5.3

Q: (a) What is the probability that the receiver gets a 0? (b) If the receiver gets a 0, what is the…

A: Let us define some events A : the system transmits 0. B : the system transmits 1. E : the receiver…

Q: A raffle is going to be held and which the winner gets $200 if 1000 tickets are sold what is the…

A: According to the given information in this question We need to find the fair value for a ticket

Q: a. A bag holds 13 marbles. 6 are blue, 2 are green, and 5 are red. Match the events on the left with…

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Q: In is required to seat five men and four women in a row so that the women occupy the even places.…

A: Given that In is required to seat five men and four women in a row so that the women occupy the even…

Q: Approximately 6% of the male population is color-blind. If a random sample of 250 male adults is…

A: The random variable color-blindness follows binomial distribution. We have to find the probability…

Q: What is the probability of picking either a club or a heart for the first trial and either a red…

A: here in given figure , there are total 16 cards  first 2 row of cards of suit heart and diamond , so…

Q: (b) Based on your answer to part (a), choose the correct statement. O The value of the test…

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Q: If the probability of success is 0.4, find the probability of failure in 3 out of 3 trials.

A: Let X be the number of failure  from binomial distribution with probability of success (p) = 0.4 and…

Q: Find the unknown in each item. 1. C(8, 3) =. 2. C(n, 4) = 15 3. C(8, r) = 28 4. C(9, 9) = 5. C(n, 3)…

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Q: b) Keep-Fit gymnasium offers four types of subscriptions, Gold, Silver, Bronze and Platinum. It was…

A: Tree diagrams can be used to determine probability of multiple events occuring.

Q: a) Who is right, or are they both right, or are neither of them right? Explain briefly. b) Which way…

A: Here use binomial distribution  Each  trial is independent  Finite number of trial  Here two…

Q: Example An oil corporation is competing for the rights to drill wells in field A and field B. It has…

A: Since you have posted a question with multiple sub-parts, as per our guidelines, we have provided…

Q: The number of people arriving for treatment at an emergency room can be modeled by a Poisson process…

A: Let X be the random variable from Poisson distribution with a rate parameter λ = 5 Then,  We will…

Q: women and 8 men are on the faculty in the mathematics department at a school. a) How many ways are…

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Q: eviation of 0.8 penalties per game. What is the probability that, for a sample of 40 college games…

A: A study of college football games shows that the number of holding penalties assessed has a mean of…

Q: A study of the consultants in a particular industry has determined that the standard deviation of…

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Q: a) How many four-letter words may exist in this language? b) How many four-letter words can be…

A: “Profanities” in a rudimentary language whose alphabet consists of the five letters A, B, C, D, and…

Q: In a pizza restaurant, 95% of the customers order pizza. If 65% of the customers order pizza and a…

A: Given information- The probability of the customers order pizza = 0.95 P (Pizza) = 0.95 The…

Q: The owner of a factory that sells a particular brand of bottled fruit juice claims that the average…

A: (1) Given: Sample size(n)=100Sample standard deviation(s)=5Sample meanx¯=248Population meanμ=250

Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: let S be the number from 1 to 20  S={1,2,3,......20}  A be the even numbers…

Q: 6. Consider a normal distribution whereu = 80 and o 8 and answer the following: %3D a. If x 72, what…

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Q: Example: Let's P be the probability That's a new aircraft engine will fail at least half of their…

A: Given Information: P indicates the probability that a new aircraft engine will fail at least half of…

Q: Sweet Glee is an ice cream shop chain that has locations all across the nation. Customers at Sweet…

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Q: (AN B)°n C°

A: Given,         sets(events): A = {2 ≤ outcome ≤ 5}, B = {outcome ≥ 3}, and C = {outcome is odd}

Q: EXAMPLE 3.7d A laboratory blood test is 99 percent effective in detecting a certain disease when it…

A: Given that, A laboratory blood test is 99 percent effective in detecting a certain disease when it…

Q: DETERMINE THE DISTINGUISHABLE PERMUTATION IN: 136675121157

A: Here use permutations

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: It is given that, there are 4 paintings and 5 vases.

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination

Q: probability prep Two machines- A, B operate independently in a factory. Machine A is out of action…

A: Given,P(machine A is out of action)=0.1P(machine B is out of action)=0.05and both A , B operate…

Q: Two fair dice are thrown once. Find the probability that the sum is 5, given that one of the dice…

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Q: ustomers are used to evaluate preliminary product designs. In the past, 60% of highly successful…

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Q: A researcher wants to estimate the proportion of depressed individuals taking a new anti-depressant…

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Q: At a company a central computer is used in half of the working time in accountancy related to…

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Q: F. 9. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be…

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Q: A random sample of patients are selected and their blood pressures (high, low, or normal) and…

A: Probability is about determining the chance of occurrence of any event.

Q: A research team of 7 members must be formed from a group of 10 teachers consisting of 3 senior…

A: Given: Total members (n)=10number of seniors (s)=3number of juniors (j)=4number of rookie(r)=3Number…

Q: 2. Suppose that a box initially contains b black balls and w white balls. In each step, we select a…

A: Box -  (  b black balls and w white balls) One ball drawn, put it back with one new of same colour.…

Q: List the elements of the set. The set of all outcomes of tossing a pair of distinguishable coins or…

A: outcomes of tossing a pair of distinguishable coins or a pair of indistinguishable coins

Q: Two machines- A, B operate independently in a factory. Machine A is out of action for 10% of the…

A: Let E= machine A is out of actionF=machine B is out of action.Given,P(E)=0.1P(F)=0.05

Q: a. The following are some scores from the exam. Circle whether student passed or failed. a. 81…

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Q: Use the given degree of confidence and sample data to construct a confidence interval for the…

A: Givenx=487n=569p^=xn=487569=0.855887522Confidence interval =99%

Q: 12. Imagine that the proportion of all e-mails in our training data that are spam is .62, and the…

A: From the given information, the proportion of the emails spam is, P(Spam) = 0.62. The proportion of…