Find the total probability of the event A if X is a normally distributed random variable with expectation x and variance o².

Q: (²²) + (²) + („) z + (†) − (†) Evaluate:

A: According to the given information in this question We need to evaluate the given

Q: Five windows in a house could be either open, ajar, or closed. How many possible states could the…

A: There are five windows.

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Q: Decode the answer to the trivia by solving the given measures of position. Write your answer on the…

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

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

A: Solution

Q: A new vaccine against the coronavirus has been developed. The vaccine was tested on 10,000…

A: Solution To calculate the probability we will use multiplication theorem.

Q: What is the expected value of X²?

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Q: four fair dice are thrown. What is the probability that the sum of the dice is divisible by 5?

A: Given problem Given that   Four fair dice are thrown. We have to find the probability that the sum…

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

A: 1.  a) Given that,  Sample size = n = 12 tins Sample mean = X= 301.8 gm Sample standard deviation…

Q: A standard provincial landline telephone number in Cavite contains area code of 3 digits and…

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Q: Sex² f(x)=cis a probability density function? 0.111 (2 c) 0.5 / The value of the constant, which…

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Q: Let denote the probability that a randomly sampled individual in some population voted Conservative…

A: * SOLUTION :-    From the given information the answer is provided as below as ,

Q: The Venn diagram below shows the 9 students in Mr. Howard's class. The diagram shows the memberships…

A: Given: N = 9

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: (a) Draw an event tree and show on the event tree all the probabilities in branch points.

A: here define events from given Information  person get sick from corona virus  = S getting side…

Q: f(x₁, x₂) = {1,- ([1-a(1-2e-x₁)(1-2e-x₂)]ex₁-x2 otherwise ,0 ≤ x₁,0 ≤ x₂. 0, i) Find the marginal…

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Q: A total of 50 students were interviewed. Let A be the event that a student prefers Coke over Pepsi.…

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Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. 3 P(4) - ²/2…

A: Let, A: The student is in Math club B: The student is in the Computer Club The total number number…

Q: Let {W} be an SBM. Define the process {B} on the time interval [0, 1] by Bt = Wt-tW₁.

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Q: (a) If a shaft is selected at random, what is the probability that the shaft conforms to surface…

A: According to our guidelines, we can answer only three subparts. So Please repost the rest questions.

Q: A fair die is rolled 6 times. What is the probability of having no 3 and no 4 among the rolls? Round…

A: It is given that a fair die is rolled 6 times, then we will get sample space as S=…

Q: The magnitudes of earthquakes recorded in region of North America can be modeled by an exponential…

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Q: A box has 14 candies in it: 9 are peppermint, 3 are caramel, and 2 are taffy. (Each candy falls into…

A: A box has 14 candies in it: 9 are peppermint, 3 are caramel, and 2 are taffy. Bob wants to select…

Q: Z = A sequential circuit has one input X and one output Z. The output 1 and remains 1 thereafter…

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Q: The Venn diagram below shows the 8 students in Ms. Taylor's class. The diagram shows the memberships…

A: Given n=8

Q: 2B. (a) An exponential distribution has probability density function f(x) = de*, x=0. a Show that…

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Q: f(1, 1) = f₁(1)f₂(1) f(1, 2) # f₁(1)f₂ (2) for x = 1, y = 1,2 then x and y are: dependent O…

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Q: Random variable X represents the number of successes in 35 Bernoulli trials. The probability of…

A: The following information has been given: X is a random variable represents the number of successes…

Q: Suppose that 75% of people in a certain metropolitan area live in the city and 25% of the people…

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Q: c) Ms Loom is writing a quiz that contains a multiple-choice question with five possible answers.…

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Q: c. The proportion of small and large car buyers from a car manufacturer are respectively P₁ =156/400…

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Q: It has been reported that men are more likely than women to participate in online auctions. A recent…

A: Solution: As per the guidelines first three sub parts should be answered. In case the remaining…

Q: a) Mrs Legodi, a registered student at the University of Limpopo, tossed a fair coin three times.…

A: Given that tossing a fair coin three times. X be a random variables that takes the value 1 if the…

Q: In Bill the Boring's dryer there are 15 black shirts, 7 gray shirts, 9 black sweaters, and 6 gray…

A: Given problem Given that   In Bill the Boring's dryer, There are 15 black shirts 7 gray shirts 9…

Q: The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson…

A: Given that  The number of surface flaws in plastic panels used in the interior of automobiles has a…

Q: 2B. (a) An exponential distribution has probability density function f(x) = ¹²e-x/a, x≥0. a Show…

A: A continuous random variable X is said to follow Exponential distribution with parameter λ if its…

Q: QUESTION 9 Decision Alternative D1 The State of Nature 0.65 1-0.65= S1 S2 5 11 4 8 D3 12 5 What is…

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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: For each experiment, determine whether events A and B are independent or dependent. Experiment…

A: Given problem Given that   A coin is flipped. Then a number cube with sides labeled 1 through 6 is…

Q: Let us suppose that some article modeled the disease progression in sepsis (a systemic inflammatory…

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Q: Find median and mode of the messages received on 9 consecutive days 14, 11, 9, 5, 18, 4, 15, 13, 18.…

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Q: A university class has 27 students: 13 are business majors, 8 are art majors, and 6 are history…

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Q: If you choose two numbers from 1 to 67, what is the probability that one number is greater than…

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Q: The Venn diagram below shows the 14 students in Ms. Reed's class. The diagram shows the memberships…

A: Solution.

Q: and a, b Ek = a²Var (X), Y) = VarX + Var Y, + by) a²VarX + b²Var Y. =

A: The expected value of a random variable is defined as follows: Discrete Random Variable  E[X] = ∑all…

Q: The number of content changes to a Web site follows a Poisson distribution with a mean of 0.18 per…

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Q: .6 (a) Two sets of n independent trials are performed, independently of each other, and each trial…

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Q: At the end of the month, Jepoy's Kitchen hired another crew member whose age is 21, the data now…

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