If n(A) = 102, n(A U B) = 159, and n(A n B) = 45, find n(B).

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A: Yes NO Total Yes 240 27 267 No 13 20 33 Total  253 47 300

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A: The following information has been given: We have given that X is a discrete random variable. P(X =…

Q: The probability distribution for the random variable,x, is x: 2, 2.5,3.0,3.5.4.0,4.5 and…

A:

Q: 1 Find skewness and kurtosis for the RV X with PDF f(x) = 2T -∞ < x < x.

A: PDF of X,  fX(x) = 12πe-x22, -∞&lt;x&lt;∞ So, μ = E(X) = ∫-∞∞x f(x) dx=∫-∞∞x 12πe-x22 dx=0 [as…

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A: Given information: Cato drinks 8 glasses of water each day. There are 365 days in the year.

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Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 107 and…

A: Introduction:  Here we need to find probabilities associated with normal distribution.

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Q: he probability a component is acceptable is 0.8. .Five components are picked at random What is the…

A: P(acceptable) = p = 0.8 select 5 components at random  x = no. of acceptable component P(x=X) =…

Q: Let Z be a standard normal random variable and calculate the following probabilities, drawing…

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

Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

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Q: . In the past few years, outsourcing overseas has become more frequently used than ever before by…

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Q: 8) a bag contours 5 blue, 4 red. marbles. A sample of 4 is taken and without replacement. Set up a…

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Q: A child rolls two 6-sided dice. Which diagram can be used to determine all possible outcomes of the…

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Q: 3. A) If X and Y are independent random variables with variances o variance of the random variable Z…

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Q: Hi! from the previous explanation I have doubts about how the probabilities of the table are found…

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Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: x P(X) 1 0.12 2 0.15 3 0.23 4 0.3 5 0.2

Q: Let the random variables X and Y follow the joint pdf 2yex fx,y (x, y) = ifx > 0, 0 0. Oe. The…

A: Given that             We have to find

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Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable.  P(X =…

Q: The picture hows a family that has had nine girls in a row. Find the probability of this occurrence.

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Q: construct the probability distribution for the random variable X which pertains to the number of…

A: From the information, The two coins are tossed The sample space for two coins is,

Q: 5. Suppose that the probability of a defect in a foot of magnetic tape is 0.002. Use the Poisson…

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Q: Use the basic probability principle to solve the following problem. Express each probability as a…

A: Given that  A 12 sided die is rolled  Sample space = S = ( 1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 ,10 ,11 ,12 )…

Q: 8) The probability that Olivia goes to Queen's university is 0.25. The odds in favor of Alice going…

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Q: . About 5% of a store’s customers respond to advertised sales. The other 95% shop when they have…

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Q: How many squares (of all sizes) are there on a standard 8x8 Chess board?

A: we have to find  how many squares of all sizes in 8*8 chess board ;

Q: A building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 75%…

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Q: (g) P(-1.70 sz≤ 2.00) 3 2 (h) P(1.46 ≤ Z ≤ 2.50) (1) P(1.70 s2) (1) P(IZI ≤ 2.50)

A: We will use Excel function to find the required probabilities based on Standard Normal distribution.

Q: FIGURE 7.4 Sampling distribution of for n=2 dice .30- 8

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Q: for the binary system if the entropy =0.9710, so the probabilities are:

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Q: Drug tests are designed with a known sensitivity. However, those interested in such tests want to…

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Q: Mickey Mantle played for the New York Yankees for 18 years from 1951 to 1968. Year by year he hit…

A: Note: As per the guidelines only three sub-parts can be answered. Kindly, repost for other parts.