Use either the letters in your surname or numbers in your student id card to explain the difference between “permutations” and “combinations.” Give a real-world example where the distinction between permutations and combinations is crucial.? name is Muhammad

Q: Given events A and B are events with P(~(A u B)=2/3, we can determine the probability of which other…

A: HERE given, P(~(A  ∪ B ) ) = 2/3

Q: (b) A certain area of the Philippines is, on average, hit by 6 typhoons per year. (b.1) Find the…

A: (b.1)   Obtain the probability that for a given year fewer than 4 typhoons will pass the area.   The…

Q: (a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the…

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Q: Four different math books, th ree different economics books, and five different history books are to…

A: Given:Four different math books, three different economics books, and five different history books…

Q: Identify the parameter of interest and the type of error committed in the given example. 2. A…

A: The parameter of interest here in this example is the two different types of medication used in this…

Q: 1) How many percent of a normal distribution curve falls within 2 standard deviation from the mean?…

A: It is given that the normal curve falls within 2 standard deviations from the mean.

Q: Example – 5: Consider an item with reliability function R(t) = (0.2 t+1)2 , t > 0, where the time t…

A: Given Information: Consider the reliability function:     Rt=10.2t+12  , t≥0

Q: c) Let X and Y be two discrete random variables. We define Z = X + Y , i.e. Vw e Ω,Ζ(ω) -Χ(ω) + Υ(ω)…

A: Given that,    Let X and Y be independent random variables that have the Poisson distributions with…

Q: Explain the Graphic method of trend estimation in a time series and give its nmerits and demerits.

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Q: 19. The following data describes the export quantity of a company. Year: 1995 1996 1997 1998 1999…

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Q: Explain the semi average method of trend estimation in a time series and give its merits and…

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Q: Consider a sample with data values of 10, 20, 16, 12, and 17. Compute the mean and median. mean…

A: Given data value is 10,20,16,12,17sample size(n)=5

Q: QUESTION 2 Suppose the random variables x and y are independent and both uniformly distributed in…

A: Suppose the random variables X and Y are independent and both uniformly distributed in the interval…

Q: The joint pmf of X and Y are given in the table below: Y X 4 2 15 1 15 15 15 15 2 3

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Q: Example 3. A survey company investigated 800 car owners and found, 65- owned Maruti car and 300…

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Q: A 6-sided die is rolled twice. What is the probability of showing a 5 on both rolls? Your answer is…

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Q: The joint pmf of X and Y are given in the table below: Y X 2 4 27 15 6 15 1 15 3 15 3 15

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Q: Example 8. In a survey of Magazine 10,000 families it was found that 4000 families buy Magazine A,…

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Q: Show that the natural numbers and the rational numbers have the same cardinality.

A: Let integers Z are countable, we might wonder whether other infinite sets are also countable. We…

Q: Annual high temperatures in a certain location have been tracked for several years. Let X represent…

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Q: There are 45 tickets, each one has a digit between 1 and 9 on it and each has a letter A, B, C, D,…

A: When there is uncertainty, the concept of probability is introduced. Probability of an event is…

Q: An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that…

A: When we rolled pair dice one green and one red  X : outcome on the green die Y : outcome on the Red…

Q: • If a pair of dice is tossed. What is the probability that a. the sum is either 7 or 11? b. the sum…

A: Given that  A pair of dice is tossed  Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: 6. What are the odds against drawing a red Jack from a deck of Euchre cards (which only include:…

A: Here Given  Total no of cards= 6 ×4 = 24 No of Red jack = 1

Q: Suppose that N+ 1 balls, of which a+b+1 are red and N-a-bare blue, are arranged in a linear order in…

A: From the given information, There are N+1 balls, of which a+b+1 are red and N-a-b are blue arranged…

Q: If Y = 2x, then X and Y are not independent?

A: Independent and dependent variables: Two variables are said to be independent if the result of one…

Q: A radio station runs a promotion at an auto show with a money box with 12 $50 tickets, 10 $25…

A: A radio station runs a promotion at an auto show with a money box with 12 $50 tickets, 10 $25…

Q: IV. Associative Laws : If A, B and C are any three sets, then (1) (A U B) U C = AU (BUC) (ii)…

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Q: Example 6 Find the median wage of the following distribution graphically: Wages (in Rs): No. of…

A: We have given that the grouped frequency table of wages and number of labourers.

Q: Record the number of individuals passing the nearest road intersection (your house is the point of…

A: The probability distribution of a discrete random variable will be Poisson distribution if i) all…

Q: A mechanical device has a wear out time distributed normally with a mean of 1100 hours and a…

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Q: Example 5. Find the coefficient of correlation between the heights of brothers and sisters from the…

A: It is given that X denotes the heights of brothers And Y denotes the heights of sisters. Required :…

Q: 4.) Determine the range and standard deviation of 60, 58, 62, 67, 48, 51, 72, 70

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Q: Example 7. In a survey of 35 students, 17 have opted Management, 10 have opted Management, but not…

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Q: 9. Out of 14 employees in a company, 8 are in the accounting department and 6 belong to the…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  PLZ REPOST FOR REMAINING Here use…

Q: d.) In a random sample of 500 police officers, how many have an annual salary of at least $58,750.

A: Let X denote the annual salaries of police officers. Given that X follows N(mean = 50000, SD =…

Q: C. Find ež, the minimum Mean Square Error (MSE) of the optimum linear estimate

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Q: (b) A certain area of the Philippines is, on average, hit by 10 typhoons per year. (b.1) Find the…

A: Let λ be the average  Let X be the number of hyphoon  will Pass the area λ=10  X~Pois(λ=10)…

Q: A simple binary communication channel carries messages by using two signals 0 and 1.It was assumed…

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Q: 20. The following data states the number of ATM centres during 1995–2001. Year: 1995 1996 1997 1998…

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Q: I have a biased coin. The probability of the coin coming out Heads is three times as likely as it…

A: We have given that the biased coin.     Note: According to Bartleby expert guidelines, we can answer…

Q: A study of working actors looked at age and gender. One sample of 45 male actors had a mean age of…

A: Given that,  n1=45, X1bar=28, sigma1=5 n2=45, X2bar=35, sigma2=3 We have to find 92% confidence…

Q: A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed…

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Q: The table summarizes results from 982 pedestrian deaths that were caused by automobile accidents.…

A: Given that table.    pedestrian intoxicated      Driver intoxicated  Yes No   Yes 55 85 140…

Q: The 3-point shooter star of your favourite team usually attempts six 3-point shots in a basketball…

A: From the provided information, Sample size (n) = 6 The team record shows that the shooter makes 25%…

Q: Use permutation or combination in solving the problems below. 5. How many octagons can be drawn on a…

A: Permuation and combination is one the principle counting measure. They measure the number of…

Q: (ii) An(BUC) = (AN B) U (A nC). i.e., union and intersection are distributive over intersection and…

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Q: (i) Only Palio (iv) Palio and Chevlot but not Matiz

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Q: S The profit made by 130 firms in a year are as follows. Find the arithmetic mena Profits (*000) Rs:…

A: Given that  Frequency distribution table  Profit  Number of firms  1-2 5 2-3 27 3-4 36…

Q: 5. Find the median for the following distribution. Income above Rs 1000 1500 2000 2500 3000 3500…

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