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Q: O If fCos,y)=xty-xy%,find Joc-1,y-2. DIf 2=ea>c+ ky oflexx-by), Prove thet baz + ag = 2abz.

A: 1.Given function is fx,y=x3y-xy3. We have to find 1fx+1fy1,2

Q: D. P (35 to 45 and Does not Recycle) = %3D E. P (25 to 35 and Recycles) = P (Under 21 or Does not…

A: Given Age under  21 21 to 25 25 to 35 35 to 45 Total Recycles 53 64 86 24 227 Does not…

Q: Which condition would prove AJKL - AXYZ? K Y 7 56

A: Two triangles are considered to be similar triangles if the corresponding angles of both the…

Q: O How does one fin d the domain of the q40tient of two furctiong t

A: In order to find domain for the quotient of 2 functions  make sure that the denominator will not…

Q: Find the pebability of dekeching cheonge ŷ (1-B) po = 0.114 p= 0.0526 n= 100 LCS = 0.1195 %3D LC =…

A: The probability of detecting change is 1-β (given). P0=0.114 P1=0.0526 n=100

Q: b) Suppone that the fuel accounds 60%0 of H hee tof rock et mast of fuer To the velocuty of the…

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Q: find quotent and simpfly: r^2-s^2/r-s divde by r/r^2-sr

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Q: Q#02: Show that 2リー33+5 -- t, esint 3.

A: Some properties of Laplace inverse of a function  Linearity property :…

Q: /2 c) Evaluate [(5cos? u +5sin 2u)du

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Q: 6. Which statements prove that APQR - ASTR? * NOT TO SCALE O A. ZPRQ = ZSRT and 2Q = LP O B. ZP = LT…

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A: A function is defined as the relation between the dependent variables and the independent variables.…

Q: Which of the following statements about BC and BD is true? 10 B 54-3-2 -11l 12 3456 7 8

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Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

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Q: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: Q.1) Evaluate IT ycos(ry) dzdy 0.

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Q: Suppose that P(A) = 1/3, P(BJA) = 1/2 and P(ALB) = 1/3 Please find P(A |B) =? %3D %3D

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Q: 35. Apply the convolution theorem to show that 2e Meu² du = e'erfvi. | (s – 1. (Suggestion:…

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Q: Given: m +n = p P= 3r Name: Date: Prove: 3r = 2n

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Q: LA. Given: 2QPR E ZSPW Prove: QR = SW Proof: Statement Reason - ZQPR & LSPW . M2QPR = M²SPW E. M2QPR…

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Q: 11 Given: ZF is comp. to ZFGJ. ZH is comp. to ZHGJ. GJ bisects ZFGH. Conclusion: ZF= ZH

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A: It is known that Pn(x)=12nn!dndxnx2-1n is the polynomial for legendre differential equation.

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.