A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a density function given by a(X+3), where a is a constant. Calculate a and Find, P(3

Q: 3.24 Some functions on the probability simplex. Let x be a real-valued random variable which takes v...

A: @solution:::

Q: What is the probability that there are two flaws in 5 square meters of cloth?

A: Let X denote the number of flaws per 5 square meters of cloth. Then X follows Poisson distribution w...

Q: A textile manufacturing process finds that on average, six flaws occur per every 240 yards of materi...

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Q: Maria has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is thi...

A: Probability : The term "probability" simply refers to the likelihood of something occurring. It cann...

Q: 1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a tabl...

A: There can be two possibilities (i) when the first card is also one face card and (ii) the one the fi...

Q: Persons entering a blood bank are such that 1 in 3 have type O* blood and 1 in 18 have type o blood....

A: Here we should find the probability distribution table for X,Y and Z. Please find the step by step s...

Q: A study showed that 64.5​% of occupants involved in a fatal car crash wore seat belts. Of those in ...

A: Solution: Let A be the event that  occupants involved in a fatal car crash wore seat belts. P( A)= 0...

Q: Let A = {x EU x is a multiple of 2} B = {x € U x is a perfect square} C = {x E U %3D x is a multiple...

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Q: For any three events A, B, & D. Such that Pr(D)>0. Prove that Pr(A U B|D) = Pr(A|D) ÷ Pr(B|D) - Pr(A...

A: Given that, there are three events A, B & D. We have to prove that, Pr(A U B|D) = Pr(A|D) ÷ Pr(B...

Q: Which are independent events? Check all that apply.

A: Independent events are these in which outcomes of first event does not affect the other events outco...

Q: 3.126 Refer to Exercise 3.122. Assume that arrivals occur according to a Poisson process with an ave...

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Q: A well-mixed cookie dough will produce cookies with a mean of 8 chocolate chips apiece. What is the ...

A: Let X be tbe number of cookies from Poisson distribution with mean (λ) = 8 Then,  We will find the p...

Q: Imagine a woman has a positive mammogram. What is the probability that she has breast cancer?

A: Here use Bayes rule and tree diagram  Define events as follows  C = women have breast cancer  T = ma...

Q: The percent of fat calories that a person in America consumes each day is normally distributed with ...

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Q: (b). If Faculty of Engineering and Technology is located south of the land of Malete and experiences...

A: Given: Let W, D, R denotes wet, dry season and rain respectively. p(W) = 13 p(D) = 23 p(R|W) = 34 p(...

Q: The life span of a specific fan is an Exponential random variable with the mean of 12 years. 1. If t...

A: GivenLife span of a specific fan is an exponential random variable  with the mean of 12 yearsf(x)=11...

Q: Using set identities to establish each of the following: 1.A̅ ∪ (B̅ ∩ C̅) = (C̅ ∪ B̅) ∩ A̅ 2.A̅ ∩ ...

A: A set is a collection of elements. Let A be a set of all vowels among the alphabets. Therefore, A=a,...

Q: Find P (-2.15 <Z<1.63)

A: Given:  z be the standard normal variate then to find probability p(-2.15&lt;z&lt;1.63)??

Q: FUI #S 9 T0 Telel LU time prUDlei DEIOW. You were planning to open a "McJobee". In order to have an ...

A: Expected value is a measure of random variable which follows a probability distribution. It is calcu...

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Q: QUESTION 9 If you roll a fair 8-sided die 11 times, what is the probability that a 1 is rolled at le...

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Q: Daniel has 5 different Algebra books and 3 different Trigonometry books. In how many ways can he arr...

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Q: A family has two children. Now, I tell you one of the children is a girl. What is the probability th...

A: here probability of girl = 12   probability of boy = 12 here each birth independent from each other ...

Q: Consider the following normal distribution: 1 f(x) = exp[-1/2(x– µ)²lơ²] Show that f(x) is a continu...

A: Given:

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 70...

A: GivenMean(μ)=70standard deviation(σ)=17

Q: Past experience has shown that, on the average, only one in ten wells drilled hits oil. Let X be the...

A: Hello thank you for the question. According to honor code can answer only three parts at a time. Sin...

Q: Refer to the Baseball 2018 data. Compute the mean number of home runs per game. To do this, first fi...

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Q: Consider the transformation Y= 1/X, and the density function f(x) = 3x² for 01

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Q: A mail-order company business has six telephone lines. Let x denote the number of lines in use at a ...

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Q: The probability that a new automobile has a backup camera is 0.6. The probability that it has a GPS ...

A: The union probability for any two events A and B is defined as P(A or B) = P(A)  + P(B) – P(A and B)...

Q: (a) Find the pmf of X, the number of spades in the two cards. (b) Find the cdf of X. (c) Find P(X < ...

A: here selecting 2 cards from standard deck of 52 cards no. of spade cards = 13 here 2 cards are selec...

Q: 3.21 The occurrence of accidents at a busy intersection may be described by a Poisson process with a...

A: Given Information: The average rate of accidents per year is 3. Consider X as a variable that denote...

Q: 47. A person has a yearly income of $100,000 which gives him 100 units of utility. This person has a...

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Q: 70% of all bald eagles survive their first year of life. Give your answers as decimals, not percents...

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Q: Suppose you have a large bucket of fruit candy, where 1% is orange flavor, 13% is mango flavor, 9% i...

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Q: Wood paneling can be ordered in thickness of 16'8 1 1 or inch. The random variable X is the total th...

A: X = the total thickness of paneling in two orders.1/8+1/8 = 1/4 inch 1/8+1/4 = 3/8 inch 1/8+3/8 = 1/...

Q: 2. The number of items sold per day at a retail store, with its corresponding probabilities, is show...

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Q: Find the area of the shaded region under the standard normal distribution to the left of the given z...

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Q: For #s 7-8, refer to the problem below: A hospital researcher is interested in the number of times t...

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Q: |When Matt is buying cards and toys (C, T), his preferences are well behaved and he is indifferent b...

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Q: A problem in a test given to small children asks them to match each of three pictures of animals to ...

A: Given that  Let the total number of pictures is =3 Let Y denotes the random variable having the numb...

Q: The life span of a 30-watt LED light is known to be normally distributed with o = 20 hours. A random...

A: Given that, The life span of a 30-watt LED light is known to be normally distributed with standard d...

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A: From the given information, the decision table is given as follows: Action   you miss the game TV...

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mear d...

A: GivenMean(μ)=3standard devaition(σ)=1.8

Q: n the volunteer's dilemma of N players, helping cost the player K utils. It only takes one player to...

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Q: QUESTION 4 Seven prizes are to be given to seven different people in a group of 9. In how many ways ...

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Q: Provide one example of discrete random variable and one example of continuous random variable. a. As...

A: A discrete variable is a variable that takes finite and countable values. In other words, the values...

Q: 8. There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R...

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Q: A university's leadership coundil is made up of 12 members: 3 are students, 4 are teachers, and 5 ar...

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Q: Situation: You volunteered to be part of the medical mission in your barangay and in-charge to get w...

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