7. Suppose that there is 50% chance that it will rain today and 60% chance that it will rain tomorrow. Suppose also that there is 30% chance that it will rain both days. The probability that it either will rain today or tomorrow, but not both, is A. 0.5

Q: 1 1 Let A and B be independent events with P(A)= and P(B)= 5. Find P(An B) and P(AUB). 7 P(ANB)= ***

A: given data P(A)= 18P(B) = 15independent eventsfind P(A∩B)and P(A∪B)

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A: Solution

Q: Page 348, 5.3.10.* Forty four measurements are recorded to several decimal places. Each of these 44…

A:

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A: x P(x) x*P(x) +200 0.20 40 +300 0.50 150 -800 0.30 -240

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A: 52 deck=13(heart)+13(Club)+13(Diamond)+13(spade) 4 queen and 4 king

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A: Given that  Number of trials n=3 Success of probability =0.9 X~binomial (n,p)

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A: Given thatp = 1.9% = 0.019n = 700

Q: Z is distributed as a standard normal variable. Calculate the following probability using Excel.…

A:

Q: s it possible for this to be written out thanks

A: a)

Q: Test the pair of events C and D for independence based on the following table. B 0.28 D E F Total A…

A: From the given table we know that,P(C)=0.20P(D)=0.50P(C∩D)=0.10

Q: Problem 4 Suppose that the pdf of a certain rv X is given on the right. (1) Determine P(X < 1/2).…

A: Answer: - Given, the pdf of X is                 f(x) = 3x20&lt;x&lt;10otherwise         (1).  Find…

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A: 42-48

Q: 4.91 Let the variable Y be defined by Y = 10%, where X is uniformly distributed on (0, 1). Verify…

A: It is given that  X follows Uniform(0, 1), then the pdf of X is  f(x) = 1, 0 &lt; x &lt; 1

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A: From the given information, If it is sunny on one day, it will be sunny the next day 1/5 of the…

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A: In the given group there are 5 Democrats and 8 Republicans.

Q: (a) P (Z'nY') = (b) P (Z'UY') = (c) P (Z'UY)=[ (d) R(70X - (Type an integer or a decimal.) (Type an…

A: It is given that  P(Z) = 0.42,     P(Y) = 0.39 P(Z and Y) = 0.16   Note: According to Bartleby…

Q: 2. Suppose the weekly amount spent on computer repairs is normally distributed with a mean of $500…

A: Given that.   X~N( μ , ?)   μ=500     , ?=30   Z-score =( x - μ )/?

Q: The goal of empirical observations is to be able to make inferences about the population we are…

A: The goal of empirical observations is to be able to make inferences about the population we are…

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A:

Q: The price that watermelon farmers get for their watermelons has a normal distribution with unknown…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: x y A random sample of two variables, x and y produced the following observations: 17 8 19 7 13 9 9…

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A: Given that Let Z be a discrete random Variable Suppose you know that Var(Z)=(k+1)E(Z) where k = 7…

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Q: Let X and Y be uniformly distributed over the region given by 0≤x≤ 1, 0 ≤ y ≤ 1, and y ≤ x. (a) Find…

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Q: Suppose that (Xn) is a sequence of random variables on Rd and (d) suppose Xn →Xo. Suppose further…

A: From the given information, Xn0∞ is a sequence of random variables. Suppose Xn→n→∞dX0 Here, X0 is a…

Q: person with tuberculosis is given a chest x-ray. Four tuberculosis x-ray specialists examine each…

A: Given that  n = 4 , p = 83% = 0.83 , q = 1 - p = 1 - 0.83 = 0.17 X ~ Binomial (n = 4 , p = 0.83) X :…

Q: The weight of a certain machined part has a standard deviation of 11 grams. How many parts from the…

A: We have given thatStandard deviation(σ) = 4.23Margin of error (E) = 4.23Significance level (α) = 1 -…

Q: This slot machine is a one-coin game. For 95% confidence interval z = 1.96. Variance is 5.401. Net…

A: Given that  Variance =5.401 Standard deviation =2.324 Zc=1.96

Q: A fair six-sided dice is thrown. The probabilities of the following events have  been marked on the…

A: Given: A: No. less than 7 {1,2,3,4,5,6} B: A "6" is thrown {6} C: An odd number is thrown {1,3,5}

Q: A certain disease has an incidence rate of 0.5%. If the false negative rate is 4% and the false…

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A: Given that The average number of students per day in any given classroom at Lakeland High School is…

Q: You are interested in carrying out a statistical test of income in a particular neighborhood. Your…

A: given data n = 64x¯ =27500σ = 10000α = 0.01claim : μ &lt; 30000

Q: Exercise 2: Let X be a random density variable                        f(x) = { e−2θx if x ≥ 0…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: anice was given a piggy bank on her seventh birthday, and she put it to use immediately. Each time…

A: Given that there are 660 coins, which were worth $78 in Janice piggy bank and she collects only…

Q: A bag contains 2 gold marbles, 7 silver marbles, and 26 black marbles. Someone offers to play this…

A: Here we have given the information, A bag contains 2 gold marbles, 7 silver marbles, and 26 black…

Q: Consider a company which has a total population of 100 employees. The company recently conducted a…

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Q: Suppose that P(A') = 0.4, P(B') = 0.5, P(An B) = 0.4. Find P(A), P(B), P(AUB), P(An B') and P(AIB).

A: given data P(A') =0.4P(B') = 0.5P(A∩B) = 0.4

Q: 3.7% of a population are infected with a certain disease. There is a test for the disease, however…

A: event  A : infected person event B : positive test   P(A) = 0.037 P(A') = 1-0.037 = 0.963 P(B|A) =…

Q: where's the spphomore?

A: The data of Sophomore is shown below  X 19 18 23 24 21 26 25 26 20 30 25…

Q: Y = 0 1 2 X = 0 .10 .25 .25 1.05 a .25 p(v) p(x) Find: (a) a. (b) The marginal probabilities for X…

A: Solution: We need to find the value of constant a and the marginal probabilities for X and Y

Q: come in a pint is 30.7, with a standard deviation of 12.2. Assume that the number of strawberries in…

A: Given that.   X~N( μ , ?)   μ=30.7    , ?=12.2   Z-score =( x - μ )/?

Q: QUESTION 3 Solve the problem. Round to the nearest hundredth, if necessary. Assume that the mean…

A: Let , X = denotes the length of human pregnancies

Q: 5. A fair, six-sided die is rolled 10 times. Find the probability that it lands on four at least 3…

A:

Q: Suppose V~ Geom(p) with p = 0.5 and that W = 2V. Find P(W ≥ 8), giving your answer correct to two…

A: Given that  V~Geom(p), p=0.5 The pmf of V is, P(V=v) = (1−p)v−1p, v=1, 2, 3,.....               =…

Q: The expected times and variances for the project activities are given below, critical path is…

A:

Q: If n=27, ¯xx¯(x-bar)=39, and s=2, construct a confidence interval at a 95% confidence level. Assume…

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Q: A fair coin is flipped three times. Let X represent the number of heads to occur on the first two…

A: A fair coin tosses 3 times So the sample space is ={HHH, HHT , HTH ,THH , HTT , THT , TTH , TTT }…

Q: Suppose U~ Binomial(n, p) and n > 2. What is P(U > 1)?

A: It is given that  U ~ Binomial( n, p ) and n &gt; 2.

Q: binomial experiment consists of 500 trials. The probability of success for each trial is 0.6. What…

A: