If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

Q: f(c) is.

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Q: Why must nCr always be less than or equal to nPr for any given n and r

A: Permutations and combinations are given.

Q: f the p value from the output of SPSS is .02, then

A: The p value is 0.02.

Q: If F(t) = t2/120 ; 0≤t≤8 years, the average failure rate will equal to:

A: The rate of failure for the survivors to the next instant of the time is defined as the failure rate…

Q: Find E(X) X  0 1 2 3 P(X) 0.2 0.4 0.2 0.2 Use Excel

A: The probability distribution is: X P(X) 0 0.2 1 0.4 2 0.2 3 0.2

Q: Differentiate H (w) = 2e"² - 1+w² •

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Q: P(z > c) = 0.2154

A: Assuming that the question to find the value of C. The given probability can be written as,

Q: If u = 3x' – 6x, find the percentage error in u at x = 1, if the error in x is 0-05.

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Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2 (for…

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Q: If h(X) =n) 3+3F(X) where FC1) =7 and f'(1) what is h'LI) ?

A: If h(x) = 3+3f(x)   where f(1) = 7 , f'(1) = 2 differentiate h(x) with respect to x.   then put x=1

Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: If the p. d. f. of X is f(x) = ; 2 < x < 8, then E(10X²) is: %3D

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Q: 2 4– x2

A: topic - indefinite integral

Q: S. Find g'(x). g(x) = ,* ds

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Q: (d) f(x) = ev4r+1 f'(x) = ,

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Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: Y=kx +3 for x

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Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: A business manager determines that t months after production begins on a new product , the number of…

A: To determine the limit of the function.

Q: A project management consultant estimated that if a particular project was completed, t years after…

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Q: h(x)= Svarty ³ dr +² find d ах иск

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Q: for    h(t) = - 6t +7, determine h-1  (4)

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Q: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: For the given data, A³f(xo) – A²f{xo) = |-3 -2 |-1 f(x) 1 3 6. -1 3 -3 None of these CO

A: Solve the following

Q: Find (d) E (X² . Y²)

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Q: ve for x. R P• 2x-3

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Q: Determine E მა მა + მო მა 2 - მ2 მ0 მგ if e8² = w sech 0.

A: The derivative of a function of a real variable measures the sensitivity to change of the function…

Q: a. suppose 17 million dollars are available for providing immunication. What percentage of the…

A: a) Suppose 17 million dollars are available for providing immunization.  Given :  C(x) = 1.85x…

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

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Q: Find Df,Rf/f(x). X 3 √x + √ X

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Q: at is the p value f

A: For left-tailed distribution, the following Excel function is used. =T.DIST(x, df, cumulative) In…

Q: Find AT, ATA, and AAT.

A: Now the transpose is,

Q: If ∫01f(t)dt=11, what is ∫00.25f(1−4t)dt? ∫11.5f(3−2t)dt?

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Q: Find GF if TF = 6.3 %3D T. F

A: ET is the median of the given triangle.

Q: hs of M/M/1 has an average time services items on an average of 5 Factor?

A: The utilization factor is find as, =Arrival rateService rate

Q: Find mZT. 3-/2 S R mZT = ト 3.

A: Solution-  In the given figure (for angle S)  Hypotenuse is = 3√2 Adjacent = 3 So formula is given…

Q: A project management consultant estimated that if a particular project was completed, t years after…

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Q: ez (z² C +1)

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Q: 4 x² + 4

A: Follow the procedure given below.

Q: Given the function C(n) = 3nt – 30n3 + 72n2 -

A: The given function is- C(n)=3n4-30n3+72n2

Q: |0, elsewhere Find the expected value of f(x) =x² – 5x + 3

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Q: f) VaeA : 3BEB : (3a>b X at&<o)

A: The given expression is: ∀a∈A:∃b∈B:3a&gt;b∨a+b&lt;0

Q: A project management consultant estimated that if a particular project was completed, t years after…

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Q: For a group of 20 items, EX=1452, X² = 144280 and mode = 63.7. Find the Pearsonian coefficient of…

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Q: |z|z dz,

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Q: If P(x)=0.8P(x)=0.8 and x=3x=3, then find the value of E(X)E(X).

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Q: A project management consultant estimated that if a particular project was completed, t years after…

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Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: Determine whether e y = x2 - 4x + 3

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.