SOLVE STEP BY STEP IN DIGITAL FORMAT XXXXXXXXXXXX Show that if A1, XXXX An are independent events then P(A₁UU An) = 1 - P(A₁) P(AC). ... XXX

Q: 4. Probability: Suppose we select a ternary strings of length 12 at random. (Recall: a ternary…

A: In this problem, we are dealing with ternary strings of length 12, which means each character in the…

Q: Prob-3 Pressurized air are being used in a manufacturing company in its daily operation. There are…

A: The events A and B are given as- A : Reciprocal compressor (R) is always off. B: At least one of the…

Q: a-1 Find S= a-1 9. O s 4 O S= 4. O s 8.

A: topic - geometric progression

Q: Probability of getting COVID-19 virus m a community is 0.03. If a sample of three persons are…

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Q: d t In(t)dt} dx 3

A: We will find out the derivative of given function using fundamental theorem of calculus.

Q: For any two events A and B, we have (i) P(ìB) = P(B) – P(A^B) (ii) P(AB) = P(A) - P(A^B)

A: Answer..

Q: P(S;+1|S;) = 0.15 and P(S;+1|S;) = 0.40 for j = 1, 2, 3, where S; is the event that by the jth…

A: *answer :

Q: Find the probability that ((97 mod 2) +1 ) interviews will be conducted in 8 minutes.

A: Here given ,  The average time for conducting 2 interviews is 5 minutes. So, here λ = rate of taking…

Q: And each trial of an experiment a participant is presented with a constant soft noise. Which is…

A: Formula : * Median : It is the middle number of sorted data.  *'Mean = Σx/n * Mode : It is the value…

Q: At Technodynamics, Inc., a randomly-selected hiring committee of 5 people is formed from a group of…

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Q: Let A and B two events and disjoint. Find P(A°U B') اختر احدى الدجابات 1- P(An B) O None 1- P(AU B)

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Q: A multiple-choice test contains 25 questions, each with four answers. Assume that a student just…

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Q: Suppose that in a hospitał, 80% of COVID-19 patients were experiencing a cough, 60% were…

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…

Q: find P(product = k) for each k = 0, 1, 2, 3, ...

A: Givenlet denotes the number of heads in throwing  coins     denotes the number of sum of dots…

Q: Transcribe the following text in digital format please

A: Introduction: The set of all the elements that are either in A or in B is the union of the two sets…

Q: A box contains 3 Black, 4 Red, 5 Blue. Then the probability of drawing 3 balls randomly with same…

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Q: Suppose that A and B are events such that P (A|B) = P (B|A), P (AUB) = 1, and P (AB) > 0. Prove tha…

A: We know that, the conditional probability:  P(A/B)= P( A n B)/P(B)  P(B/A)= P(A n B)/P(A) Given…

Q: How does Probabilities of Complex Events can be find out?

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Q: Before every flight, the pilot must verify that the total weight of the load is less than the…

A: From the provided information, Mean (µ) = 179.4 pounds Standard deviation (σ) = 38.6 pounds X~N…

Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. A clip…

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Q: If a number m is chosen from the numbers 2, 3, 5 and a number n is selected from the numbers 1, 4,…

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Q: Suppose that a code (similar to a postal code) is of the form LDL DLD, where 'L' is an uppercase…

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Q: For any two events A and B, find weather the following statement is true or not: P(A N B©) + P(B N…

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Q: Let X be a discrete random variable with N-0 x = 0, 1, 2, ..., min{0,n},n – x n, and 0 = 0,1,...,…

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Q: Suppose that a family has 3 children. Also, suppose that the probability of having a girl (based on…

A: family has 3 childrens P(boy)=P(girl) = 12P(family has no girl) = ?

Q: uigits by a means other than random trial an (a) 9. 5.

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Q: Describe about dependent events of multiplication rule.

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Q: Fwo events A and B, we have (i) P(Ā O B) = P (B) – P (A^ B) (ii) P (AnB ) = P(A) – P(A^ B)

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Q: Suppose that a family has 6 children. Also, suppose that the probability of having a boy (based on…

A: given data, n= 6p(boy)=P(girl)=12x= no. of boys in familyP(x≥5) = ?

Q: Describe about the addition rule when Events Aren’t Mutually Exclusive.

A: Mutually exclusive events Two events are said to be mutually exclusive if they have no elements in…

Q: Test { (-1,"! (n! (2m)!

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Q: The dance team has 9 dancers to perform different roles in each performance. The probability that…

A: 1) There are 9!=362880 permutations of 9 dancers. So the probability of selecting 1 current…

Q: You want the probability that an attacker without particular information must be able to crack your…

A: It is given that the prob. that a password is cracked on the first attempt is at most 12n; n=59. The…

Q: 15. Use a 30-60-90 triangle to find the tangent of 60°. 2 /60° 1 30% √3

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Q: (1) The following table gives a probability distribution of a random variable X Values of X…

A: We know that total probability should be 1 So for the given above data set we check the options.

Q: 12!/35

A: The solution of given problem is given as follows :

Q: What is the probability that an integer between 0 and 9,999 has exactly one 8 and one 9?

A: The range of the integer values is between 0 and 9999.The integer values have exactly one 8 and one…

Q: In this problem you will prove the general disjunction rule. P(AU B) = P(A) + P(B) - P(An B)

A: 1. If A & B are two disjoint events then P(A∪B)=P(A)+P(B)…