A company has 5 machines that will be damaged randomly every time. On average, every machine will experience damage every 2 times a day. The machines are repaired by a mechanic by spending an average of 2 hours on each machine. Determine traffic intensity or utilization factors .

Q: Find the indicated area under the standard normal curve. To the left of z = -1.36 and to the right…

A: Z be the standard normal distribution P(Z<-1.36 or Z>1.36)=?

Q: If a fair die is tossed once, find the probability that the uppermost face displays an even number…

A: From the provided information,A fair die is tossed once.Total outcomes = 6

Q: LAUSE SALT a) What sample size is necessary if the 95% CI for p is to have a width of at most 0.11…

A: A state legislator wishes to survey residents of her district to see what proportion of the…

Q: A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The…

A: The formula of test statistic is,

Q: Suppose that 100 students take a test in a class. Each student has a 2/3 probability of passing the…

A: a. Markov's Inequality:Markov's Inequality states that for a non-negative random variable X and any…

Q: to three decimal places.) (a) The expected time between two successive arrivals (b) The standard…

A:

Q: 4. Suppose that X is a random variable taking just two possible values {a, b}, where P(X = a) = 1-p…

A: Given that X is a random variable having just two possible values (a, b), where P(X = a) = 1 - p and…

Q: You wish to hire Ricky to manage your new Chicago office. The profits will depend partially on how…

A: Given the probability table:Profit = $100,000Profit = $20,000Lazy / Gaming20%80%Engaged / Hard…

Q: A random sample of 5008 adults in a country includes 760 who do not use the Internet. Construct a…

A: n=5008x=760

Q: Question 3 Calculate the probability of getting 3 hearts when you draw 5 cards; that is, calculate…

A: We have to draw  cards from a standard deck of  cards.i.e. Let, be the number of cards drawn. be the…

Q: Do bears treat their cubs equally? A random sample of 50 caretaking acts reveals that a bear with 3…

A: This is a problem of hypothesis test on chi- square test for Goodness  of fit,so we haveThe…

Q: Use the normal distribution to the right to answer the questions. (a) What percent of the scores are…

A: X~N( μ , ?)μ=20.2    , ?=5.4Z-score =( x - μ )/?

Q: 1. Martha has 4 different colored pens in her bag. After she uses a pen she just throws it back into…

A:

Q: (b) What is the probability that preparation time exceeds 26 min? 0.9 ng Saved Work Revert to Last…

A:

Q: Let X₁, X₂,... be independent random variables, each taking a value of either 1 (with probability p)…

A: Given:Let  be independent random variables, each taking a value of either 1 (with probability p) or…

Q: Let A and B be events. Assume that P(A) = 0.55, P(B|A) = 0.36, and P(B|A') = 0.84. Then, P(A∩B)=?,…

A: P(A) = 0.55P(B|A) = 0.36P(B|A') = 0.84

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative…

A: To find the  -score that corresponds to the cumulative area, we use the standard normal…

Q: Suzan sees a bag of marbles; she grabs a handful at random. She has seen a bag containing 4 red…

A: 4 red marbles, 3 green ones,2 white ones,1 purple one

Q: Forty bus drivers were asked how many hours they spend each day running their routes (rounded to the…

A: The data for amount of time spent on route for 40 bus drivers were given.

Q: Describe the difference between odds and probability. Give an example of each to support your answer…

A: Here we have to describe the difference between odds and probability. Give an example of each to…

Q: Ten applicants applied for jobs in a company. The review process has three stages. The company first…

A: In this first stage, the probability that an applicant is not rejected at this stage is 0.5. The…

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

A: and Note : As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In…

Q: A random variable X has cumulative distribution function

A: A random variable X has cumulative distribution function is,

Q: 2. A retailer for a petroleum product sells a random amount X each day. Suppose that X, measured in…

A: Given a retailer for a petroleum product sells a random amount X each day. Suppose that X, measured…

Q: 1. Given the directed graph as follows 1 1 201 3 2 a. Write the corresponding stochastic matrix. b.…

A: From the given directed graph, the stochastic matrix is given as:

Q: 6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is…

A:

Q: The number of raisins in a randomly chosen Jamaican spice bun can be modeled as a random variable…

A: The random variable number of raisins follows Poisson distribution with mean 5.2.

Q: You went to a clinic to visit the doctor. There were 4 patients ahead of you in the waiting room.…

A: Given that there are 4 patients ahead in the waiting room. Their waiting times to meet the doctor…

Q: According to a university's report, only 35% of all surgical operations at that time required an…

A: Given,The percentage of surgical operations requiring an overnight stay at a hospital is = 35%.So,…

Q: USE SALT (a) (c)= 0.9857 2.189 (b) P(0 ≤Z≤ c) = 0.3133 0.89 (c) P(C≤ Z) = 0.1335 1.11

A:

Q: A campus radio station surveyed 500 students to determine the types of music they like. The survey…

A: A campus radio station surveyed 500 students. 207 like rock, 163 like country, and 119 like jazz.…

Q: (a) Find the number of these patients that had either high blood pressure or high cholesterol…

A: A survey was conducted among 68 patients admitted to a hospital cardiac unit during a two-week…

Q: State whether you think the two variables are dependent or independent. Explain your reasoning. a)…

A: a)Being a college professor and being female: These two variables are not inherently dependent on…

Q: (1) What is the probability that exactly 6 of the characters are digits? (2) What is the expected…

A: Given,the exam will consist of a sequence which students will have to write in stats class. They…

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Given,Number of red chips, n(red) = 5Number of blue chips, n(blue) = 3Number of orange chips,…

Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…

A: a. b. c.

Q: (a) Compute the cdf of Y. 0 F(y) 1₂² 24 2 1 Graph the cdf of Y. F(y) 1.0 36 y 12 F(y) 1.0

A: Given,the pdf of  as follow,(a)lets find out the cdf of  is,Hence the cdf of  islets we use the…

Q: Consider the well failure data is given below. Let A denote the event that the geological formation…

A: Let A denote the event that the geological formation has more than 1000 wells.Let B denote the event…

Q: Q 4.2. Let (X, Y) be a random variable with the following density: 15x²y 0 0<x<y <1, otherwise.…

A: Joint pdf of X and Y is f(x,y)=15x2y; 0&lt; x&lt;y&lt;1

Q: Use the Peano Axioms to prove each of the following. (a) 12 • (b) 1 3 and 2 = 3 ●

A: The Peano Axioms are usually formulated as follows:0 is a natural number.For every natural number n,…

Q: In a classroom there are 28 tablets which include 5 that are defective. If seven tablets are chosen…

A: In a classroom there are 28 tablets which includes 5 that are defectiveTotal number of tables…

Q: In a survey of 18-year-old males, the mean weight was 172.2 pounds with a standard deviation of 46.7…

A: Mean()=172.2Standard deviation()=46.7

Q: construct a spreadsheet simulation to simulate 100 customers and collect statistics on the net order…

A: Given,supermarket customers load their carts with goods totaling between  uniformly (and…

Q: Let X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently. 1.…

A: X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently.

Q: Given the probability density function: f(x): = Calculate: 0.08x 0.16 for 2 ≤ x ≤7 elsewhere 0 a)…

A: f(x)=0.08x-0.16 ; 2≤x≤7

Q: Choosing officers: A committee consists of twelve women and eleven men. Four committee members will…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Jeff, a sales manager of a car dealership, believes that his sales force sells a car to 35% of the…

A: As his sales force sells a car to 35% of customers who stop by the shop then probability of selling…

Q: Use the geometric distribution to derive E(Y), E(Y^2), and V(Y) from the Poisson distribution

A: The geometric distribution and Poisson distribution are two different types of probability…

Q: The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place…

A: There are total 9 entries.The trifecta consists of selecting the​ first, second, and​ third-place…