2. Two dice are rolled and their sum recorded. What is the probability of rolling a sum that is less than 7 or a sum that is divisible by 3?

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A: Given that mean(λ) = 29 per call service rate per line (μ)= 18 calls per hour

Q: b) A box contains four red balls and six yellow balls. Two balls are drawn one by one from the box…

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Q: If the probability distribution for the random variable X is given in the table, what is the…

A: The expected value of X is calculate as E(X) = ∑x.p(x)

Q: Cerebral blood flow (CBF) in the brains of stroke patients is normally distributed random variable.…

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Q: A study was done about people that watch the Superbowl and World Series.      Did not watch the…

A: The null hypothesis is shown below: H0: Gender and watching the world series independent. The…

Q: Suppose (i) (ii) (iii) X, has a pdf f(x₁) =< x₁²e- 16 0 X₂ has a pdf f₂(x₂)=- Examine whether Y₁ =…

A:

Q: (a) Obtain the distribution function of X. (b) Find the probability density function of Y 1 X

A: f(x)=0; x&lt;0,12; 0≤x≤1,12x2; 1&lt;x&lt;∞ a) Distribution function of x is given as; F(x)=∫∞x f(x)…

Q: You roll 4 standard dice. Find the probability of rolling at least 2 fives.

A: Given Roll 4 standard dice

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A: Let G denote the good credit risk and B denote the bad credit risk. From the given information,…

Q: If the probability of 5% movement within 1 week is 95%, what is the weekly movement range with the…

A: It is given that in 1 week, the probability of 5% movement is 95%. We have to calculate the movement…

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

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Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A: Given,no.of math books=6no.of science books=5no.of english books=4Total no.of books=15

Q: quiry Based Learning, I have a statement for you. raw cookie dough. fiction. for you to answer this…

A: Fact or Fiction: Fact: Based on some evidence the statement can be considered as True  Fiction:…

Q: Test the pair of events C and F for independence based on the following table. = A B C Total 0.22…

A: From the given table we have P(C) = 0.10 + 0.07 + 0.03 = 0.20 P(F) = 0.18 + 0.09 + 0.03 = 0.30 And…

Q: (4) If X and Y are two random variables, the joint moments can be derived from the joint…

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Q: Question 5 Suppose that the random variables X₁,..., X and Y₁,...,Y, are random sample from…

A: Linear combination of normal distributed random variable is also follows normal distribution.

Q: A group of fifteen tourists is stranded in a city with four hotels of the same class. Each of the…

A: Given information: Total number of hotels = 4 Total number of tourists in the group = 15

Q: Suppose we are given a sample of 60 observations from a distribution whose mean is 0 and variance is…

A: The sample size n is 60, the mean is 0 and the variance is 3/5.

Q: Use the following information to answer the next question There are 52 cards in a standard deck of…

A: Solution: Given information:  There are 52 cards in a standard deck of cards There are 4 suits of 13…

Q: (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females?

A: NOTE : HERE AS PER GUIDELIENS I HAVE CALCULATED 3 SUBPARTS , PLZ REPOST FOR REMAINING  here given ,…

Q: a. The of UConn professors is normally distributed. Suppose you know that 33 percent of professors…

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Q: 7. What are the stationary distributions for the following graph? 0.6 0-4 2 0.5 40.5 0.5 0.5 07 0.5…

A: Solution: The graph of Markov chain is given.

Q: fx,y(x, y) = [ce-2(x+y) if a > 0 and y> 0 otherwise Now consider X and Y with a different joint…

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Q: (a) How many words have length 10 in this set? (b) A word is called special if it is…

A: 1) consider the set of words consisting "a" and "b" a) Words having length 10. - - - - - - - - - -…

Q: 3. Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably…

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Q: From a deck of poker, which contains 52 cards, hands of 10 cards are drawn. How many hands contain:…

A: Probability: In a random experiment, probability indicates how likely an event is going to occur.…

Q: Let X and Y have the joint probability density function ¹, for 0<x<2, 0<y<1 otherwise 0, Find the…

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Q: Find the following probabilities for the standard normal random variable z:   (a) P(-0.87 \leq z…

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Q: Mr Chimbukutu, owner of a bakery said that the average weekly production level  of his company was…

A: We have given that  Mean(µ) = 11398 Standard deviations (σ) = √ 49729 = 223

Q: Calculate: E(x) and D(x), which means expectation and variance. (2) 2( TT: x > D

A: First we have to calculate the probability distribution function pdf of X by differentiating the CDF…

Q: A bank classifies its customer as either good or bad credit risks. Based on historical data, the…

A: Solution: From the given information,

Q: L) Compute the probability that the fourth 1 appears on the 10th roll

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Q: i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S -…

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Q: In a survey of 169 people, the following data were obtained relating gender to color-blindness:…

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Q: Three coins are tossed. Find the probability of tossing each of the following events:   1. Three…

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Q: a. Find the probability that the student answers between 33 and 43 questions correctly on the test…

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Q: It is commonly presumed that an unborn child has a 50% prob ability of being female. But is this…

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Q: Example 2.2 Two desperados A and B are playing Russian roulette, and they have agreed that they will…

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Q: 4) Let X₁, X₂, X, be mutually independent and identically distributed continuous random variables…

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Q: The heights of American men are normally distributed with a mean of 65.3 inches and a standard…

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Q: b. In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.…

A: b.) In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.…

Q: ng a e. Construct a probability distribution of the number of tails

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Q: The average dividend declared by a group of 10 chemical companies was 18 per  cent. Later on it was…

A: Given that  Incorrect Mean = MI = 18 Number of observation = n = 10 Correct figure = XC = 12…

Q: 4. Suppose that a coin lands on heads with probability 0.5 and is tails otherwise. You toss the coin…

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A: Given that.   X~N( μ , ?^2 )   μ=50    , ?=1.2  , n=9   Z-score =( x - μ )/?

Q: 1. How many free throws went into the basket? 2. How many free throws missed the basket? 3. What is…

A: Chart: TOSS NUMBER WENT IN(HEADS) MISSED(TAILS) 1 X   2 X   3   X 4   X 5 X   6   X…

Q: In a poll, 29% of 18- to 29-year-olds had money invested in the stock market (either in an…

A: The following information has been provided: The total number of trials are n=9 The probability of…

Q: generating functions, Mx, (t) = e²¹², Mx₂(t) = e²t + 3t², and Mx₂(t) = (-¹2) ². 1-2t, c) Find the…

A: