1a) Use Matlab to compute and simulate the roots of the following function; (i) 5x4+21x2−14x+30=0 (ii) x4−4=0 b). It is known that only 60% of a defected computer can be repaired. A sample of 8 computers is selected randomly, find the probability that; (i) At most 3 computers can be repaired. (ii) 5 or less can be repaired (iii) None can be repaired Based on your output for these, how will you have advised after a critical analysis from your output.

Q: n Show that for any &> 0 and S₁ = 1X₁, lim P(|S₁ - 01 ≥ ) = 0. Show that a statistic S, in a) is the…

A: We will use Chebychev's inequality to calculate the required limit of probability. To obtain the MLE…

Q: A production manager determines that t months after production on a new product begins, units…

A: A production manager determines that t months after production on a new product begins,  units…

Q: If you apply two steps of the Secant Method to x3 = 2x + 2 initial guesses x0 = 1 and x1 = 2, Then…

A:

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: Hello. Since your question has multiple sub-parts, we will solve first and last sub-parts for you.…

Q: Suppose we have the quadratic function f(x)=A(x^2)+C where the random variables A and C have…

A: A quadratic equation is written as f(x)=Ax2+Bx+C. f(x) has real roots if B2-4AC≥0.

Q: In a clinical trial, 15 out of 800 patients taking a prescription drug complained of flulike…

A:

Q: 1. In financial mathematics, investors use utility functions to compare the "joy" of earning money…

A: Given problem is :

Q: 8. What is the probability that the equation x² + px + q = 0, where 0 < p,q < 4 are chosen randomly,…

A: Given: The quadratic equation:          x2+px+q=0  where, 0≤p,q≤4 Objective is to find the…

Q: Find the critical value for a two-tailed t test if n = 13 anda 0.05. You can ignore the .

A:

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: Here, X~Bin(n1=4,p1=0.993) and Y~Bin(n2=4,p2=0.997) Therefore, Since the devices are independent,…

Q: a) b) c) Show that for any >0 and S, X₁. lim P(|S, -612 ) = 0. Show that a statistic S, in a) is the…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: If H1: μ1 – μ0 < 0, then zobs = -1 has a lower p-value than zobs =1. True or false?

A:

Q: 10. Research has sleep can have of complex ta & Bergstroem enon, a sampl a problem-sol at noon on…

A: Given data : sample size, n =25 sample mean, x̄ = 4.7 sample standard deviation,s=…

Q: Imagine that before the debate, a sample of 75 likely voters had 41 who preferred candidate A. After…

A: Solution: Let X1 be the number of voters who preferred candidate A before the debate, X2 bet the…

Q: Suppose that a manufacturer is testing one of its machines to make sure that the machine is…

A: From the provided information, The hypotheses are as follow: H0: µ = 15 Ha: µ &gt; 15 The p value =…

Q: use the beta function to compute P(3<Y≤5).

A:

Q: Give a clear and detailed solution of the intergral of e^-ct/m 2)

A: You want intergral of e^-ct/m. I am assumig the variable of integration is "t". That is, the task in…

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: A2.a.  There are 5 identical computers and three people  We  need to distribute in such a way such…

Q: 2S. A four sided die is rosted twice, and a is drawn form a Stand ard deck of Playing Cards. what is…

A: Total outcomes for rolling four sided twice = 4 x 4 = 16 There is only one possible outcome for…

Q: A research center claims that 24% of adults in a certain country would travel into space on a…

A: Given that p is the population proportion of successes, where a success is an adult in the country…

Q: Suppose f"(x) = N;(h) + a,h + azh² + azh³ + -…- ... The value of N2(h) using Richardson's…

A:

Q: 2. Use Fixed-Point Iteration Method to obtain a real root of a- 5x +1 0with xo = 0 accurate to six…

A:

Q: If n is 30 and p is 0.04. using the Poisson approximation to the Binomial, the P(X < 2) is equal to…

A: Givenn=30p=0.04

Q: Suppose that a person has a 3% chance of contracting COVID-19 attending a concert without wearing a…

A: So here it is given that P(contracting covid)=0.03 Let X be a random variable which denotes how many…

Q: Suppose that a random number  is chosen from the interval (0,2). What is the probability that the…

A: Given: The random number is chosen from the interval (0,2). Quadratic equation is 4x2-x+k

Q: Ex:- Min Z= X-3 X2-2 X3 %3D sub to 3X1 - X2 + 2 X3<7 -2 X + 4X2 く12 -4Xi+ 3X2+8X3 slo Find anew…

A:

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 3.1. Use the Neyman-Person lemma to find the best critical region of size 0.034 for testing Ho:0 = 1…

A:

Q: 4. Suppose that estimators ₁ and ₂ are unbiased estimators of 0 and third estimator Ô3 = aê1 + (1 −…

A:

Q: 9. Show that if t is a consistent estimator of e, then ť is a consistent estimator of 0°.

A:

Q: Suppose each of 1000 players face a challenge in which a Bernoulli trial is repeated until the first…

A: Solution

Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

A:

Q: (b) Compute P(X > 0). (c) Compute P(-1 0.8). (Round your answer to four decimal places.)

A:

Q: Suppose that a person has a 5% chance of contracting COVID-19 attending a concert without wearing a…

A: In question, We have given probability of contracting covid-19  attending a concert without wearing…

Q: Suppose f(x) = N₁ (h) + a₂h + a₂h³ + ... The value of N₂(h) using Richardson's extrapolation is: O O…

A: Replacing the h by h/2 and deduce the formula

Q: (b) Compute P(X > 0). (c) Compute P(-1 0.3). (Round your answer to four decimal places.)

A:

Q: A random sample of 80 poultry farms of one variety gave an average production of 240 eggs per bird.…

A: Given Sample size of 1 variety of poultry farm, n1=80Sample size of another variety of polutry farm,…

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A:

Q: of n, randomly selected male smokers, X, smoked filter cigarettes, whereas of n, randomly selected…

A: Solution: Given information: n1= 200n2= 200x1= 126x2= 164p^1= x1n1= 126200= 0.63p2^= x2n2=…

Q: Find the probability that in five years' time : (a) both machines will be performing a usual…

A: Here Given two machines A and B  And  Probability their preforming usual in 5 years time…

Q: Ivy is not sure whether a particular c the coin is not fair if she observes 4 4.24 and alternative…

A: Ans:

Q: Amanda has a von Neumann-Morgenstern utility function given by U VM, where Mis her income. If she…

A:

Q: c) Let Ô₁ = X₁+2X₂+2X3-X4 one of the two estimators is more efficient? and Ô₂ = (X₁ + X₂ + X3 + X4)…

A: The given pdf of is Poisson distribution with parameter θ. Then E(Xi) = θ = Var(Xi)

Q: Question 5 1 Q.5.1 Determine whether (-pVq) A (q→ -r-p) A(pVr) (denoted with p) is satisfiable.

A:

Q: was predicted that a country will have an elderly population​ (65 and​ older) of 7,387,000 in the…

A: Given, it was predicted that a country will have an elderly population​ (65 and​ older) of 7,387,000…

Q: Question 4 Suppose that 1000 customers are surveyed and 850 are satisfied or very satisfied with a…

A:

Q: project requires an initial outlay of $92000 and produces a return of $30000 at the end of year 1,…

A: Given that a project requires an initial outlay of $92000 and produces a return of $30000 at the end…

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: From given data : X~Bin(4,0.993)Y~Bin(4,0.997)   Solution to a) As the events are independent…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.