Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, ..., 20}. 1. The number chosen is an odd number. 2. Getting an even number

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A: Binomial distribution   The Binomial distribution may be a statistical distribution of the possible…

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A: Given polynomial function is- p(x)=x3-4x2+5x-2 ; c=2 To show that c is zero of given polynomial…

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A: given principal amount (P)=php 120,000 interest R=9% T=5years sum of amount after five year? formula…

Q: 1. Consider A = (0,4, 2), B = (6,0, 0) and C = (3,0,-1). %3D %3D %3D | (a) Find the unit vector in…

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Q: General Direction: Perform each of the following steps. a. Find the Spearman rank correlation…

A: The mathematics achievement scores of grade 4 and grade 8 are as shown below. Grade 4 Grade 8…

Q: II. Use the grouped frequency distribution below to answer item numbers 19 to 25. Class Interval f…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the angle between the following pair of lines: i. 7=21-53+k+ 2(31 +23+ 6k) and r = 7î - 6k+ µ(i…

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Q: WHICH OF THE FOLLOWING ARE DISCRETE PROBABILITY DISTRIBUTION? IF IT IS NOT A DISCRETE PROBABILITY…

A: Solution: Probability function is a function which assigns probabilities to the values of a random…

Q: A. Find the domain and range for each function. Write your answer in interval notation. Functions…

A: To find the domain and range for each function.FunctionsDomainRange(1) (2) (3) (4) (5)

Q: 8.5.53-LS Question Help Suppose that at each birth, having a girl is not as likely as having a boy.…

A: From the given information, the probability of getting girl child is not equal to getting boy…

Q: 3:) Consider the function g defined by g(x ,y) = cos( mxVy) + log3 (x-y) (b) calculate the…

A: Given,g(x, y)=cosπxy+1log3(x-y)To find: Instantaneous rate of change of g(x, y) at point (4,1,2) in…

Q: 7. 1 1 -4-2 Let A-2 3 2 4 -8-5 . (a) Show that A is diagonalizable and find a nonsingular P such…

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Q: SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and…

A: Given, sphere: x2+y2+z2=2z paraboloid: x2+y2=z For Spherical coordinates, we have to substitute…

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Q: Evaluate: S 2y+3 (y-1)(³-1) dy ° − In\y − 1| − § (y − 1)³ + ¼ln|y² + y +1| - O √3 ○ – In|₁¹|- (y −…

A: We will use partial fraction decomposition to solve the given integral .

Q: The average value of f(x, y) over the rectangle R = {(x, y) a s*S b, csysd} is %3D 1 fave (6- a)(d-…

A: The Formula for the average value of a function over an region is given. So use it we have

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A: Given Data : Sample Size, n = 40 Sample Mean, x̄ = 28.1 standard deviation,…

Q: ponent form of u +v given the = 8, 8, = 9 %3D

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Q: 19. Hospital Noise Levels Noise levels at various area urban hospitals were measured in decibels.…

A: Given n = 84X = 61.20 = 7.9z= 1.96 for 95% confidence interval

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A: For the given frequency distribution table,  we need to find; 22. The class boundaries containing…

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Q: Let R be the solution region for the system of inequalities { x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

A: The system of inequalities is provided as: x2+9y2-18y≤0y2+2y-x2>0 The solution region is R and we…

Q: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

Q: Problem Suppose the number of beds in a sample of 12 private hospitals and 15 public hospitals were…

A: As per our guidelines, I can solve only first 3 subparts. Please post the remaining subparts again…

Q: 3. Evaluate sin5 xdx

A: