If the largest of 58 consecutive integers is 529, what is the smallest? Write your answer in the box.

Q: I. Tell whether each of the following is a combination or a permutation. Write PE if each statement…

A: We have given that the statements about to the permutation and combination.     Note: According to…

Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

A: Given that  Simplify 5x - 5x-1 - 5x-2

Q: According to a certain​ survey, adults spend 2.25 hours per day watching television on a weekday.…

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Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, and 2 Italians be seated in a row so that…

A: We have given that  Americans = 3 Frenchmen = 4 Danes = 4 Italians = 2

Q: Components produced by a company have a target weight of 500g but the actual weights of the…

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Q: Example 16. Mr X saved Rs. 18500 in 10 years. In each year after the first he saved Rs. 200 more…

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Q: Find the probability, P(MOR), associated with the tree diagram. 0.2 R. 0.8 S What is P(MOR)? 0.1 M…

A: Solution

Q: 5. a) Two hockey teams, Toronto and Calgary are playing for the Stanley cup. Out of a 3 game series,…

A: Given that, Two hockey teams, Toronto and Calgary are playing for the Stanley cup. We need to find…

Q: Consider the probability density function if x -4 + (x+4)³ Find Pr(X > –1|X < 3). Select one: 18 40…

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Q: Example 6. In a survey of 500 students in a college 180 were listed as drinking Tea, 275 as drinking…

A: Let T=students in a college were drinking TeaC=students in a college were drinking…

Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

A: We have given thatn = 1056 x = 592 Significance level (α) = 1 - 0.90 = 0.10

Q: The probability of A is 0.4. The probability of B is 0.5. The probability that neither A nor B…

A: From the provided information, P (A) = 0.4, P (B) = 0.5 Probability that neither A nor B happen is…

Q: Mission Hotel has an average of 80 customers per hours arrive the front desk waiting check-in. They…

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Q: 3. Calculate mean and median of the following. Income (Rs) 10-20 20-30 30-40 40-50 50-60 60-70 No.…

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Q: A7. Two cards are drawn from a pack of playing cards of 52. Find the probability that both cards are…

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Q: Problem 7. Let A = {1, 2, 3, 4}, B = {1, 2, 3} and C = {2, 4}. Find all sets X %3D satisfying each…

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Q: Example 7. In a random selection of 64 of 600 road crossing in a town, the mean number of automobile…

A: We have given that Sample size (n) = 64Sample mean (x̅) = 4.2Standard deviations (s) =…

Q: Television viewing reached a new high when the Nielson Company reported a mean daily viewing time of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: iterest free loan of Rs. 12000 from Y. The loan is to be repaid in ten installments. Mr X paid Rs.…

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Q: For numbers 15-24, consider the following. The joint pmf of X and Y are given in the table below: Y…

A: Introduction:  Correlation:  The correlation coefficient is given by, ρ=Cov(X,Y)σxσy Where, Cov(X,Y)…

Q: A coin is tossed twice. Let E be the event "the first tos shows heads" and F the event "the second…

A: Given that : A coin is tossed.  It has two choices that " Head " And " Tail " Total outcome = 22  =…

Q: In a standard deck of 52 cards, what is the smallest number of cards you must draw to guarantee…

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Q: Consider the following. (Give your answers correct to four decimal places.) (a) Find P(-2.1 < z <…

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Q: Two fair six-sided dice are rolled. Let A = the event that the dice add to 9, and let C= the event…

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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: Direction: Use the z Table to find the area that corresponds to each of the following. Show your…

A: Given 1. z = 0.56 2. z = -1.353. Between z = -2 and z = 0.89

Q: The heights of American adult males are normally distributed with a mean of 177 cm and a standard…

A: Empirical rules:1) P(μ-σ&lt;X&lt;μ+σ)=68%2) P(μ-2σ&lt;X&lt;μ+2σ)=95%3) P(μ-3σ&lt;X&lt;μ+3σ)=99.7%

Q: 71 4 36 5 32 6 26 7 18 8 16 9 14 10 8 11 2  Total 500 What is the probability…

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Q: 13. Estimate the number of employees earning at least 63 but less than Rs 75 from the following…

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Q: Vanessa has a utility function for income given by U(I) = VI (that is the square root of income).…

A: It is given that the utility function for income is U(I)=square root(I).

Q: 1. A normal population has a mean of 73 and standard deviation of 14. You select random samples of…

A: Given that  X~Normal(μ= 73 , σ= 14 ) μ= 73 , σ= 14 , n=9

Q: A die is loaded such that the odd numbers have the same chances of occurrence, the even numbers have…

A: Let p be probability of observing 5, than by given condition probability of observing 4 is 2p As it…

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

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Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A: Given that, two dice (one red, one green) are rolled. Consider the following events:- A: the red die…

Q: We have the following value pairs: { (X,Y) } = { (1, 10), (2, 12), (1/3, 2) }. We know that the…

A: Given that { X,Y } = { (1, 10), (2, 12), (1/3, 2) } Y = A + B/X

Q: mbers that come up is 6 or 9? 10/36 O 9/36 8/36 ONone of the other answer listed here is correct…

A: If  six sided die rolled two times then sample space (S) is,  S= {(1,1), (1,2),…

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: From the provided information, x y 5 11.3 6 12.52 7 11.54 8 12.86…

Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: The union of two sets are calculated by adding two event and subtracting the intersection of two…

Q: Let the temperature at 8 AM be the first sample, and the temperature at 12 AM be the second sample.…

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Q: 6. Calculate co-efficient of correlation using Karl Pearson's method. Advertisement (000 Rs) (x): 39…

A: Given that    X Y X \cdot YX⋅Y X^2X2 Y^2Y2   39 47 1833 1521 2209   65 53 3445 4225 2809…

Q: The random vector (X,Y) has joint pdf 0<y <x < 0 elsewhere fxv (x, y) = Cee %3D %3D (a) Find C (b)…

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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: Q43. If the difference between three times of mean and three times of variance is two for a binomial…

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Q: Professor Tough's final examination has 20 true-false questions followed by 3 multiple-choice…

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Q: Given discrete X and Y and Probabilities y = 1 0.1 y = 2 0.3 x = 1 x = 2 find Pr(X = 1,Y = 2). 0.2…

A: From the provided information, Probabilities y = 1 y = 2 x = 1 0.1 0.3 x = 2…

Q: A researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16 days from…

A: Given that, a researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16…

Q: An experiment has been conducted for four treatments with eight blocks. Complete the following…

A: Given that ; Here we use two way anova concept of design of experiment to solve this problem.  d. f…

Q: A meeting of consuls was attended by 4 Australians and 4 Japanese. Three (3) consuls will be…

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Q: 1. If the joint probability distribution of X and Y is given by f(x,y)= **Y, for x=0,1,2,3;y=0,1,2,…

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Q: Please interpret box plot given summary statistics.

A: Box plot is a visual display of five number summary.