Given 15 balles numbered 1 to 15. What is the probability that 3 balls chosen without replacement are not consecutive. Provide your answer with FULL SOLUTION and explain each step.

Q: 5. A pair of dice is tossed. Find the probability of getting a total of 8.

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Q: Direction: Compute and Illustrate the distribution of the mean. 1. The average price of a computer…

A: Given  Population mean μ=789, standard deviations σ=348, n=27,   P( x̄<650)=? Note: This…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 red ​balls, 5 green…

A: The answer is attached below,

Q: Let X1, X2, ..., Xn be independent and identically distributed random variables such that P(X1 = 1)…

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Q: Finding a probability density function A continuous random variable X, with mean unity, has…

A: We have given that the the continuous random variable X has pdf, fX(x) = { a(b-x)2, 0 ≤ x ≤ b…

Q: Consider a Markov Chain with three possible states S = {1,2,3}, that has the following transition…

A: Given a Markov Chain with three possible states, S = {1,2,3},

Q: A student has five mathematics books four history books, and eight fiction books. In how many diff…

A: Given that A student has five mathematics books four history books, and eight fiction books

Q: 2. The probabilities that a printer will make 0, 1, 2, 3, or 4 or more mistakes in setting a…

A: Given Information: Sample space={0.19, 0.34, 0.25, 0.43, 0.29}Respective Events={0,1,2,3, 4 or more}

Q: ANSWER THE FOLLOWING PROBLEM WITH COMPLETE, DETAILED, UNDERSTANBLE, CORRECT, AND NEAT SOLUTION AND…

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Q: Kate is in the French club. There are 32 students in the club. The French teacher will pick two…

A: We have given that,  French teacher will  pick two students at random to guide visiting students…

Q: 1. Solve the following problems by using the Binomial formula.  a. If n = 4 and p = 0.10, find…

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Q: What is the probability that 2 persons will have the same birthday? 1 year = 365 days

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Q: You have plastic chips in your hand. On each chip, the top side is read , and the bottom side is…

A: From the given information we find the solution.

Q: (a) Show that for a Poisson distribution the mean is equal to the variance. (b) In a bakery 3600…

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Q: Fitting plungers into holes A random variable X has a N(u,, o?) distribution. Independently, a…

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Q: A box contains 13 defective and 7 non-defective bulbs, find the probability mass function (pmf) of…

A: Solution-: Given: Number of defective bulbs =13 and Number of non-defective bulbs=7 We select 5…

Q: The following experiment is repeated 5 times: a fair coin is tossed, and if the outcome is heads, a…

A: The six sided die is rolled when coin's outcome is heads. The 20-sided die is rolled when coin's…

Q: Medical researchers are interested in determining the relative effectiveness of two drug treatments…

A: We have given the following data  Sample mean 1=188 Sample mean 2= 185 Sample standard deviation 1 =…

Q: 2. The following are the grade point averages of 30 students recently admitted to the graduate…

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Q: Let 0 denote the probability that a randomly sampled individual in some population voted…

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Q: At Roberta's cafe half of her regular customers order her famous low-fat chicken sandwich. The…

A: Consider the following events A : someone regularly ordered the sandwich. B : someone losing weight.…

Q: d) Science club only e) Mathematics and science club but not English club

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Q: The average score of employees on a mental examination is 120. Suppose that nothing is known about…

A: The average score of employees on a mental examination is 120.

Q: Table 1 22 33 37 53 57 69 85 102 106 112 23 33 38 53 59 70 86 104 107 112 24 35 41 54 61 70 101 105…

A: Arrange given data in ascending order 22,23,24,28,30,33,33,35,36,36 37,38,41,42,49,53,53,54,54,56…

Q: d. Coefficient of correlation means: Interpret the coefficient of correlation using this table.…

A: d. From the part b, the correlation value is r=0.4018. Here, the correlation value is positive and…

Q: A businessman is considering investing in a small business. A random sample of 45 companies revealed…

A: Given data : sample size, n =45 sample mean, x̄ = 9.6 sample standard deviation,s= 1.2…

Q: A deck consist of 3 jacks, 3 queens, and 3 kingsof different suit. what is the probability of…

A: A deck contains  3 jacks, 3 queens and 3 kings of different suit. The total number of cards in a…

Q: Refer to the table below: Table 1. 1985 Philippine Statistics Report…

A: Given Information: Total Males=27,437,246Total Females=27,231,086Females aged 15-44…

Q: A researcher wants to determine the causal relationship among number of family members who are at…

A: Endogenous variables are nothing but the dependent/response variables and it is determined or…

Q: Amazon Revenue The annual revenue of Amazon is given in the table below (source ). Amazon Annual…

A: The following information has been given: Year (x) Amazon Annual Revenue(Y) 2020 386.064 2019…

Q: P(female)?

A: It is given that Number of females = 20 Total = 40

Q: 2. The number of hours spent playing video games a week by the residents of Minneapolis has a mean…

A: here given ,  population mean   = 10 hour  population standard deviation = 13 hour  sample size  n=…

Q: In a random sample of males, it was found that 25 write with their left hands and 218 do not. In a…

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Q: 1. What is the probability that an arrival to an infinite capacity 4 server Poison queueing system…

A: Given information: λμ=3P0=110c=4

Q: d. The probability of getting a random sample of 150 people with a mean blood sugar level less than…

A: The provided information is µ=4.7 mmol/L σ=1.4 1. The distribution is normal. 2. Yes. a.…

Q: Medical researchers are interested in determining the relative effectiveness of two drug treatments…

A: Given ,  First group :  Sample size = n1 = 10  Sample mean = x¯1 = 188 days  Sample standard…

Q: Calculate the risk of fire if the probability of a release is 2.13 x 106 per year. The probability…

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Q: I oll two dice and observe two numbers X and Y. 1. Find Rx, Ry and the PMFS of X and Y. 2. Find P(X…

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Q: There are twenty balls in a box numbered 1 to 20. After mixing them thoroughly, one ball is randomly…

A: Given problem Given that   There are twenty balls in a box numbered 1 to 20. After mixing them…

Q: A deck consist of 3 Jacks, 3 Queens and 3 Kings of different suit. What is the probability of…

A: Given Information: No. of Jacks = 3 No. of Queens = 3 No. of Kings = 3 Total no. of cards = 9

Q: Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately…

A: The answer is attached below,

Q: wenty-six percent of couples who plan to marry this year are planning destination weddings. In a…

A: Given that  Twenty-six percent of couples who plan to marry this year are planning destination…

Q: Let X denotes the reaction time, in seconds; to a certain stimulants and Y denote the temperature at…

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Q: A case-control (or retrospective) study was conducted to investigate a relationship between the…

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Q: 2) A study was conducted to determine the effect of cigarette smoking on the carbon monoxide…

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Q: The TOEFL scores of 8 students were researched before and after the training. The results are given…

A: From the given information using minitab we find the solution.

Q: . A sandwich can be made with 3 different types of bread, 5 different meat, and 2 types of cheese.…

A: Here, Bread=3 Meat =5 cheese =2

Q: The lifetime in hours of a certain component of a machine has the continuous probability density…

A: Given that, The lifetime in hours of a certain component of a machine has the continuous probability…

Q: (a) Two sets of n independent trials are performed, independently of each other, and each trial…

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Q: Answer each permutation problem completely. Show complete solution. There are 12 people in a dinner…

A: The following information has been given: The total number of people n=12.