Using the letters in VERMONT to form words, whether they have meaning or not, how many distinguishable 5 letter words can you form that start with a vowel and end with a consonant? Write out each step and explain what you are doing in each step.

Q: .1 The probability of an event depends on the random variable X and can be expressed by the…

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Q: ge of X is {0, 1, 2, ...}. e non-integer answers in the form of proper fractions for the cumulative…

A: Giventhe cumulative distribution function for the random variable X with the probability mass…

Q: Six balls numbered 1 to 6 are placed in a bag. Some of the balls are grey and some are white. The…

A: Here we have to find out given events probabilities and complete table by using given events data.…

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: When an experiment is without replacement then the draws become dependent on the previous draws.…

Q: Let T follow the student distribution with degree of freedom v = 12. If P(T> k) = 0.02, then k-…

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Q: 7 11 13 17 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 Find the probability that the number…

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Q: Solve for the probability of drawing 4 diamonds in a row from a standard deck of cards, without…

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Q: box contains 6 glazed doughnuts, 4 jelly doughnuts, and 5 chocolate doughnuts. If a person selects a…

A: Given Glazed doughnuts=6 Jelly doughnuta=4 Chocolate doughnuts=5

Q: There are 30,000 adults living in Oak City. In examining attitudes toward the news, a research group…

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Q: On Sundays 35% of the TV’s watch a program. Find the mean and standard deviation for the number of…

A: Given : probability of success, p=0.35 sample size,n=2000

Q: The daily sales at a convenience store produce a normal distribution with a mean of $2,271 and a…

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Q: An automobile manufacturing plant produced 36 vehicles today: 17 were trucks, 5 were motorcycles,…

A: It is given that Number of trucks = 17 Number of sedans = 14 Total = 36

Q: The probability density function of the life span of a battery is given by the function below, where…

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Q: What is the expected value of X²?

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Q: 4) Suppose a company manufactures components for electronic devices. In the manufacturing process,…

A: Given   Pmotherboard adjustment=25% Pmemory adjustment=35%      Pcase adjustment=40%…

Q: 1 (a) On a particular day a random sample of 12 tins of peas is taken from the output of a canning…

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Q: b) Currently, there are many students who stay in UTM campus residence. Statistics shows that 62% of…

A: Dear student as per guidelines we solve only first three subparts only . Solution  We will use Bayes…

Q: n. Assume that calibration attempts are independent. What is the probabi ·mont the specifications…

A: Given The probability is 0.8 that a calibration of a transducer in an electronic instrument conforms…

Q: Golden Years Insurance company estimates the probability that a randomly selected male senior…

A: In here we've the details of senior citizens own supplemental health insurance from Golden Years…

Q: Cardiovascular Disease The data in Table 1 are a sample of cholesterol levels taken from 24 hospital…

A: Mean, x̄= ΣXi/n Here sample size is n= 24 Mean x̄= 499/24 = 20.79167   Standard deviation=…

Q: The distribution of weights of the dogs in a certain park has a mean of 15.3 kilograma. The weight…

A: From the provided information, Mean (µ) = 15.3 The weight of one of the dogs is 25.4 kilograms is…

Q: Karen is in charge of planning a reception for 1400 people. She is trying to decide which snacks to…

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Q: me are white and some are grey, as shown below. 6 1 4 3 swer the following questions. Write each…

A: Given that

Q: Consider the given statement. All rooms at the hotel have a bed. For each statement below, determine…

A: Given problem Given that   All rooms at the hotel have a bed. Ans) At least one room at the hotel…

Q: 6-24. In the 2000 Sydney Olympics, a special program initi- ated by IOC president Juan Antonio…

A: Here, we need to find sample mean and sample standard deviation, plot a dot diagram and also state…

Q: The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the…

A: Solution

Q: The probabilities that a market inspector will discover violations of the public health code in a…

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Q: ) Mr Ledwaba from Department of Health assumed that a random variable X is normal with mean 2 and…

A: Solution

Q: Rafael has 5 pairs of pants and 10 pairs of shorts. How many possible ways can he choose what to…

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Q: Process X(t) = A cos (wot +O) is wide- sense stationary if A, wo: are constants and is Uniformly…

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Q: What is the probability that this social media group of 6 people has 2 seniors, given that it has 1…

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Q: Probability of an Event The probability of an event, denoted as P(E), is the numerical measure of…

A: Comment: As per the our company guidelines we are supposed to answer only one question. Kindly…

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: Let R be the event that a ball drawn is red, B for blue  G for green

Q: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

A: Given that  Number of men = 5 Number of women = 4 Number of children = 3 Number of seats in the row…

Q: Consider a random variable K with parameter p, whose probability mass function (PMF) is given by…

A: Solution: From the given information, the probability mass function is

Q: score

A: *Answer:

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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Q: A financial institution is willing to lend you $400. However, $450 is repaid at the end of one week.…

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Q: If 10 cards are to be chosen at random (without replacement) from an ordinary deck of 52 cards, find…

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Q: Evaluate the cumulative distribution function of a binomial random variable with n = 3 and p = 1/7…

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Q: n a conducted experiment, study shows the relationship of obesity and drinking habits, the following…

A: Guven that, in a conducted experiment, study shows the relationship of obesity and drinking habits,…

Q: is the sum 4. The length of a certain rectangle of the 1st nine consecutive geometric progression in…

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Q: Q8/ If the average height of 500 students in a secondary school is 151 cm, with a standard deviation…

A: The following information has been given: The sample size is n=500. The population mean is μ=151.…

Q: a) A merchant receives a shipment of five photocopying machines, two of which are defective. He…

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Q: On Saturday's lunch rush at Ada's diner, they sold 291 sandwiches.  Of those sandwiches sold: 65…

A: Given problem Given that   On Saturday's lunch rush at Ada's diner, they sold 291 sandwiches . Of…

Q: ..14.5 The demand for subassembly S is 100 units in week 7. Each unit of S requires 1 unit of T and…

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Q: average. What is the probability that four or fewer patrons will enter the restaurant in a 9-minute…

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Q: Consider a Brownian motion {X(t), t≥ 0} with parameter o = 2. Find the E[X(t)]] (the expectation of…

A: Solution: From the given information, {X (t),t≥0} is a Brownian motion with a parameter σ = 2.

Q: f(x₁,x₂) = {Wx1x2, (Wx₁x₂, 0≤x₁ ≤ 1, 0 ≤ x₂ ≤ 1 elsewhere Find: i) the value of w that makes f(x₁,…

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Q: If f(x y) = 1-y 0 and y unif(0, 1), then J.p.d.f x and y (f(x, y)) is: -4. x-y 0 for y<x< 1,0 <y<1…

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