A manufacturer knows that their items have a normally distributed length, with a mean of 11.3 inches, and standard deviation of 2.5 inches. If one item is chosen at random, what is the probability that it is less than 5.9 inches long?

Q: Show that A and B are inverse matrices if A = - 1 -2-5 2 0 1 0 2-1 and B = 5 2 5 -2 -1 -2 6 2 5…

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Q: 1. Nine chairs are numbered 1 to 9. Three women and four men wish to occupy one chair each. First,…

A: Given Nine chairs are numbered 1 to 9. Three women and four men wish to occupy one chair each.…

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: Given information,  All area codes has a 0 or a 1 ad the middle digit and the first digit could not…

Q: A person must pay $5 to play a certain game at the casino. Each player has a probability of 0.12 of…

A: From the provided information, The probability distribution table can be constructed as:…

Q: A company has six male and four female applicants for vacancies. a)  If two applicants are randomly…

A: From the provided information, A company has six male and four female applicants for vacancies.…

Q: The backoff torque required to remove bolts in a steel plate is rated as high, moderate, or low.…

A: Given that  X ~ Binomial (n1 = 15 , p1 = 0.58) Y ~ Binomial (n2 = 15 , p2 = 0.15) Z ~ Binomial (n3 =…

Q: 1. Suppose C1, C2, C3, ... is a nondecreasing sequence of sets, i.e., Ck C Ck+1, for k= 1, 2, 3, . .…

A: This is a simple problem from set theory and limit

Q: Find the number of ways in which two Americans, two British, one Chinese, one Dutch and one Egyptian…

A: Given that, two Americans, two British, one Chinese, one Dutch and one Egyptian.

Q: An LG Dishwasher, which costs $950, has a 20% chance of needing to be replaced in the first 2 years…

A: To find: a. To find the probability distribution b. To find the expected value.

Q: After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a…

A: 13 black socks 6 brown socks 2 blue socks ______________ 21 total socks select 2 at random.…

Q: The average count calculation errors at a local accounting firm per 12-h shift are 2.8. What is the…

A: Given that : λ=2.8

Q: Use the binomial formula to calculate the following probabilities for an experiment in which n = 4…

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Q: Please! I need help with this. This is a probability question. Please answer in a written paper.…

A: PROBLEM STATEMENT : - There are three doors, behind one a nice car, behind each of the other two a…

Q: What is the best way to describe the point in the yellow box? An outlier far from the other points…

A: Given scatter plot.

Q: Suppose W is a random variable with the pdf f(w) -12W + 11, what is the pdf of Y? = 3w² 343 e-w³/343…

A: Solution

Q: If the odds that a particular horse will win a race are 1:6, what is the probability of the…

A:

Q: Suppose that a family has 6 children. Also, suppose that the probability of having a girl (based on…

A: given data, n=6p(girl)=12=0.50p(boy)=p=0.50x= no. of boys p(X=x)=nCx*px*qn-x  (binomial…

Q: Give that A ∼ Poisson(3) Find P(A >

A: Given that : A ∼ Poisson(3) we have to Find  P(A > 2)

Q: 4. Let X₁, X2,... be i.i.d. r.v.'s with finite expectation 0 and finite variance 1, and define the…

A: a) Convergence in Probability: limn→∞PXn-X≥ε=0, for all ε>0   From the given information,…

Q: Assume a variable is normally distributed with a mean of 30 and standard deviation of 6. P(x>32) =…

A: From the provided information, Mean (µ) = 30 Standard deviation (σ) = 6 X~N (30, 6)

Q: You roll a 4-sided die, numbered 1-4. Your payoffs for this game are: Roll Pavoff

A: In the given experiment, 4-sided die is rolled. Here, P(1)=P(2)=P(3)=P(4)=1/4 Let us denote X as…

Q: Page 328, 5.2.2.* Let Y₁ denote the minimum of a random sample of size n from a distribution chat…

A:

Q: Problem 10-21 (Algo) A process that produces computer chips has a mean of .04 defective chips and a…

A: Given that USL = 0.041 LSL = 0.039 Mean = 0.04 St . Deviation = 0.003 a) Cpk = min((USL- mean )/ st…

Q: Suppose a spokesman for the restaurant claims that the mean sodium content of their hamburgers is…

A: Given that  Sample size n =40 Sample mean=642 Population standard deviation =38

Q: Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in…

A: Given information: x¯1=0.63, σ1=0.10, m=8x¯2=2.08, σ2=0.50, n=8

Q: 5. Suppose that the observed data X~ f(x; 0). Then the likelihood function is L(0) = f(x; 0). An…

A: Given the formula of log-likelihood statistic for testing the hypotheses H0 : θ=θ0  Vs H1 : θ=θ1 as…

Q: 2. Suppose that we have three cards identical in form except that both sides of the first card are…

A: Let us define some events  A : card with both sides red is selected. B : card with both sides black…

Q: A machine produces rubber balls whose diameters are normally distributed with a mean of 5.50 cm and…

A: From the provided information, Mean (µ) = 5.50 cm Standard deviation (σ) = 0.08 cm X~N (5.50, 0.08)

Q: The probability that a male is colorblind is 4.2% . Given a random sample of 53 men find the…

A: Given n=53 P=0.042

Q: PLEASE HELP ME GET THE ANSWER FOR PART B AND IT HAS TO BE FRACTION/INTEGER/ OR EXACT DECIMAL AND THE…

A:

Q: Suppose that a family has 8 children. Also, suppose that the probability of having a boy (based on…

A: given data, n= 8p(boy)=12=0.50p=0.50q=1-p=1-0.50=0.50x= no. of boys p(X=x)=nCx*px*qn-x( binomial…

Q: If you roll 6 six-sided dice, find the probability that the sum of the dice is greater than 7.

A: Given roll 6 six-sided dice,

Q: An assumption of linear regression is that the relationship between x and y can be modeled by a…

A: We have given that,  An assumption of linear regression is that the relationship between x and y can…

Q: 6 Analyse the following classic Bayes net (See Figure 4). Compute P(BIC) and P(CIB). Take note that…

A: Given the classic Bayes net as

Q: The acceptance of applicants by American agencies can be modeled as a Bernoulli Random Process.…

A:

Q: En charge corrosion inside the pipes that are part of the cooling systems. The inside condition of…

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Q: An agricultural cooperative claims that 85% of the watermelons shipped out are ripe and eady to eat.…

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Q: In this regression, which predictor(s) is/are significant? Coefficients: (Intercept) time pub…

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Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: Suppose that a random variable X has the following moment generating function, Mx (t) = (1-9t)−7, t<…

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Q: 2. a. Provide two dependent events. b. Explain how you know these events are dependent. c. Explain…

A: The two dependent events means that the probability of occurrence of the second event is dependent…

Q: Rework problem 3 from section 4.1 of your text involving the computation of probabilities for…

A: Given,n=5 and q=0.45p=1-0.45=0.55A random variable X~Binomial(n=5 , p=0.55)P(X=x)=Cx(0.55)x(0.45)5-x…

Q: A random sample of packages that were delivered by a company showed that 40% of packages were…

A: It is given that 40% of packages were delayed, 25% of the packages that were on time were…

Q: A shipment contains 14 igneous, 12 sedimentary, and 12 metamorphic rocks. If 8 rocks are selected at…

A: Given  38 rock=14(Igneous)+12(sedimentary)+12(metamorphic) n=8

Q: The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the…

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Q: 5. Imagine playing a game for which the exact odds are known. You have two options. With Option A,…

A:

Q: For a binomial random variable X with n = 10, what is the smallest value of p for which P(X ≥ 4)

A: Given information: n=10 The PMF of X is, PX=x=nxpx1-pn-x               =10xpx1-p10-x

Q: The potholes in a long road occur as a Poisson process of rate 4 per mile. In other words, if we let…

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Q: zzes with probability 1/3, independent of other quizzes. What is the expected number of quizzes that…

A: Given Dave fails quizzes with probability 1/3, independent of other quizzes.

Q: What is the expected number of heads that come up when a fair coin is flipped five times?

A: From the provided information, A coin is flipped five times that is n = 5