29. For any three events A, B and C, show that (i) (ii)

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: 10. dr S f(æ) dx = Choose...

A:

Q: IX,- M |1+IX,-X Show that E →0 if and only if X X in probability.

A:

Q: 4. Show that an event A is independent of itself iff P(A) is either 0 or 1.

A: Proof: PA=PA∩A=PAPA  Since A is independent itself.⇒PA1-PA=0PA=1  Since P(A)>0

Q: Integrate: / 82

A: Given integration is : ∫8x3lnxdx  To find the value of integration.

Q: b) The events M and Y are independent such that P(M) = a,P(Y) = 0.3, and P(M n Y) = 0.15. i) Find…

A: b)GivenP(M)=aP(Y)=0.3P(M∩Y)=0.15

Q: 14. Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A: Given that: P(A) 0.25 P(B)=0.28 P(B|A) =0.28

Q: Determine whether each of the following is True or False. 1) 10! = 10 9 8!

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For any two events A and B it is known that P(A) = 2/3, P(AUB) = 7/12 and P(A∩B) = 5/12, find P(B

A:

Q: 16: If P = ( ): Fin dq?

A:

Q: For any two events A and B and P(B)÷ 1 and A N B = Ø, find weather the following statement is true…

A: GivenTw events A and B P(B) ≠1A∩B = ϕ So A and B are mutually exclusive events, So P(A∩B)=0. The…

Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

A:

Q: If P(An B) = 0.3 find P(A U B°) O 1 0.3 0.7

A:

Q: 42 a. (a) For any two events A and B, show that P (A) + P(B)-1 P(B) P (B), show that P (B/A) (c) If…

A:

Q: 6. Show that for n attributes A, A2, A3, ..., An (A, Az Az ... A, ) > ( A, ) + ( A2 )-(A3) + ... + (…

A:

Q: A box has (4) balls. Choose (2) balls one by one with replacement, x is the first chosen and Y is…

A: Given information: No. of balls=4Selection=with replacementNo. of balls to be selected=2

Q: Show that for any 1 ≤k≤n. T (1) = n²(n²-1²)...(n² (k − 1)²) 1.3.5 (2k-1)

A:

Q: ds 2.) S. 2s – s2

A:

Q: For any three events A, B and C P ( A U BUC) = P(A) + P (B ) + P ( C ) – P ( A OB)-P( BnC) -P(CnA)+…

A:

Q: 4. Consider 3 events A, B and C with Pr(A) = = a, Pr(B) = 3a, Pr(C) = 5a, and Pr(An B) = Pr(ANC) =…

A: Probability is the chance that an unsure event will occur with this probability. Basically, the…

Q: Let A = { {a}, {b}, {c}, {d}, {e} } Determine by extension P(A

A:

Q: 6. The prosecutor's fallacy. Let G be the event that some accused person is guilty, and 7 the event…

A: We have to show that the P(G|T)=P(T|G) iff P(G)=P(T)

Q: An electronics store has received a shipment of 20 table radios that have connections for an iPod or…

A:

Q: Two teams A and B are playing in a three-game series. The series ends as soon as one of the teams…

A: From the given information, two teams A and B are playing in a three-game series. The series ends as…

Q: Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(B)?

A: GivenA and B are independent and mutually exclusive eventsP(A)=310

Q: An electronics store has received a shipment of 20 table radios that have connections for an iPod or…

A: Population (N= 20)  Randomly selected (n=8)  And 10 of these have two slots :  M= 10  Probability…

Q: If P(A/B) = P(A) and P(B/A)=P(B), then A and B are: O A. Mutually exclusive O B. Dependent O C.…

A: Equally likely events:   The two events are said to be Equally likely event if every event has the…

Q: ) Given that someone lies, what is the probability that they don't get caught? )Given that someone…

A: As per given by the question, 200 human were asked if they were human in order to test a new lie…

Q: Suppose P(C)=0.048, P(M and C)=0.044, and P(M or C)=0.524. Find P(M). Hint: P(A and B) = P(AUB) P(A…

A: P(C)=0.048P(M∩C)=0.044P(M∪C)=0.524P(M)=?

Q: The Human Resources office in a company observes the pattern of absences of employees by days of the…

A: Given: The company has 100 employees and over 10 weeks (5000 employee appearances) they notice that…

Q: 1! 2! 3! let A= 2! 3! 4! , det(A)= 3! 4! 5! Select one: а. 120 b. 4!*3!*2! С. 20 d. 24

A: From the give problem: A=1!2!3!2!3!4!3!4!5!

Q: Suppose that for s = {1,2,3,4,5,6,7,8}, p(1) = P(2) = p(3)=P(6) = 0.10 p(4) = p(7) = p(8) = 0.08…

A: Given that, s=1,2,3,4,5,6,7,8p1=p2=p3=p6=0.10p4=p7=p8=0.08p5=0.36 Then with A=1,3,5,6 and…

Q: . The probability that two specified letters will be placed in the correct envelopes is 1[n(n – 1)].…

A: