Show P(ABC)=P(A| B^C)P(B| C)P(C).
Q: Can you show an example of what Fundamentals of probability: Continuous How is this used in math?
A: A continuous random variable is a variable which can take on an infinite continuum of possible…
Q: A student is selected from a random sample of students that are classified by their GPA levels and…
A: Given Information: GPA level IE COE MEE Total GPA<2.50 110 85 65 260 GPA≥2.50 85 85 70 240…
Q: If the probability of occurrence of an event (probability of success) in a single trial of a…
A:
Q: What result from probability theory is often used to formulate a linear difference equation…
A: Bayes' theorem In probability theory and statistic, Bayes' theorem (alternatively Bayes' law or…
Q: wait for a drive through order at Mcdonald's is uniformly distributed between 5 and 12 minutes.…
A: Consider X be the random variable that represent the time to wait for a drive through order at…
Q: The probabilities that discipline officers will discover violations of the student handbook in a…
A: Given data is Number of Violations(v) Probability P(v) 3 0.3100 4 0.1200 5 0.1700 6…
Q: there are 30 men and 75 women in the seminar one person is selected rendomly for take cheat find…
A: Given that: 30 men and 75 women Total person = 30 + 75 = 105 one person is selected rendomly for…
Q: Assuming that girl-boy births are equally probable, find the probability that a family with five…
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Q: if the probability of event A is 3/4 and the probability of event B is 1/4 then the probability of…
A: Probability of event A is 3/4 Probability of event B is 1/4
Q: How about for b) b) What is the probability that a defective part is produced at this factory?
A: From the given information, the probability of products producing by first machine is 0.35. The…
Q: Find the probability that a person flipping a coin gets (a) the fifth tail on the seventh flip, and…
A: For each flip, there are two possible outcomes: heads or tails. Since each flip is independent, the…
Q: conditions (N,F,P) if n ≥ 2. P (^A;) = P(A₁)P(A2|A₁)P(A3|4₁ | A₂2) ···P(An|A₁ Ñ…-··Ñ An−1), i=1 n-1…
A: The theorem you mentioned is known as the "Multiplicative Law of Probability" or the "Chain Rule" of…
Q: Determine the following probabilities: i) the probability that the individual was unemployed = P(A)…
A: Categories of Employment status:A: UnemployedB: Employed.Categories of highest level of school…
Q: If I toss a coin 10000 times, evaluate the probability to get less than 9900 heads.
A: Number of tosses n = 10000 Let p be the probability of getting head, then p = 0.5 Let X denote the…
Q: Find the probability P(Z > 440-400, 20 -400)=P(Z > 2)
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Q: If one event occurs, another event cannot happen, the events that cannot occur simultaneously are…
A: Definition of Mutually exclusive events
Q: Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle…
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Q: Let X and Y be two possible events with P(X) = 0.38 and P(Y) = 0.23 respectively. Assume that events…
A: Answer: From the given data, P(X) = 0.38 P(Y) = 0.23
Q: Question 2: Let X = number of heads after a coin is flipped three times. X - Bin(3, 0.5) a) What is…
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Q: he probability that a civil work will be completed on time (W) or there is rain (R) is 0.8. The…
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Q: Let X and Y be two possible events with P(X) = 0.36 and P(Y) = 0.23 respectively Assume that events…
A: P(X) = 0.36 P(Y) = 0.23
Q: 6 let x be the number of 6 obtained when three dice are rolled a)state the possible value of × b…
A: Given Data: X is the number of 6 obtained when 3 dice are rolled a) Possible values of x x=0, 1,…
Q: Assume that when adults with smartphones are randomly selected,56% use them in meetings or classes.…
A: Given,n=5p=0.56Let X=no.of adults use their smartphones in meeting or classesX~Binomial(n=5 ,…
Q: if all other factors are held constant which of the following results in an instead in the…
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Q: Suppose we roll a 6-sided die twice, and let R be a point in the 2D-plane, where the first…
A: Suppose we roll a 6-sided die twice, and let R be a point in the 2D-plane, where the first…
Q: The probability that a camera passes a particular test is 0,3, and the cameras perform…
A: Let, X: the number of cameras tested until 2 failures have been obtained. The probability that the…
Q: (b) What is the probability that exactly 4 of the same color are drawn?
A: We have given that A deck of cards contains 24 cards: 10 red cards and 14 black cards. 5 cards are…
Q: An extended family consists of 55 men and 45 women (children are not included) performed a…
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Q: there are 30 men and 50 women in the seminar one person is selected rendomly for take cheat find…
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Q: Pls show your complete solution and solve using Baye's Theorem. (Do not solve if not Baye's…
A: Note: According to Bartleby guidelines expert solve only one question and maximum 3 subpart of the…
Q: Among the digits 1, 2, 3, 4, and 5 first one digit is chosen, then a second selection is made among…
A: Solution-:Amoung the digits 1,2,3,4 and 5 1st one digit is chosen, then a 2nd selection is made…
Q: A state runs a lottery in which five numbers are randomly selected from 30 without replacement. A…
A: Let n be the random selected numbers = 5. Let M be numbers before the states sample is selected = 5.…
Q: Q.1\ Proof that : AC and B are independent Q.2\ Roll a die, what is the probability that it is…
A: Note: As per bartleby guidelines for more than one questions asked, only one question is to be…
Q: Describe mutually exclusive and not mutually exclusive events in relation to addition theorem.
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Q: there are 30 men and 75 women in the seminar one person is selected rendomly for take cheat find…
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Q: 4. AN experiment consist of tossing a pair of dice. a.) Use the combinatorial theorems to determine…
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Q: Let X be a random variable with u = 4 and o = .5. (a) Use the Chebychev inequality to estimate Pr(3…
A: Chebyshev’s theorem: When the distribution of the population is not known. That is, when there is no…
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- If n letters are randomly placed in correctly addressed envelopes, prove that the probability that exactly r letters are placed in correct envelopes is given by : n - r 1 1 i 2 (-1)*; r= 1, 2, ..., n •••1 r ! k = 0 k !A fair 6-sided die is thrown 100 times. Find a lower bound on the probability that the total sum of throws is between 300 and 400Classify the Cases as Recurrent, Transient> Ergodic, Absorbing
- just using the definition of probability and the theorem on page 17 of the notes, prove thatfor any events A and B,P (A) + P (B) − 1 ≤ P (A ∩ B) ≤ P (A ∪ B) ≤ P (A) + (B).(Please label them as “Inquality I”, “First In-equality”, “Inequality A”, etc.)Note: You may use Venn diagrams as guides, but a picture is nota complete proof. give proofs in complete sentences and mathematicalworkA fair 6-sided die is repeatedly rolled until the total sum of all the rolls exceeds 300. Approximate (using the Central Limit Theorem) the probability that at least 80 rolls are necessary to reach a sum that exceeds 300.OTHER DISCRETE PROBABILITY DISTRIBUTION SHOW COMPLETE SOLUTION AND GRAPH A group of tourists composing of 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans arrived in the Philippines. If a committee of 4 is selected at random, find the probability that (a) all nationalities are represented; (b) all nationalities except Italian are represented.
- Assume that 1 in 300 people cany the defective gene causes ed colon cancer iha sanple of 1000 individuals approximate the probability that a) at least 10 cary the gene (three decimal places)You roll a fair die repeatedly. Find the probability that: a) the first “6” occurs on your 10th rollb) the first “6” occurs after the 10th rollc) the third “6” occurs on the 20th rolld) the third “6” occurs after the 20th roll