2, Choose give Single digit positive in te gor f them' and the mean me

Q: 9. Evaluate each of the following: a). loga5 3.5 b). Ine' -* Ans. Ans.

A: Given

Q: Theovems If x~ B(nif) then the mean, variance ond m-gf ve -Malt)= (9+fを)"

A: Binomial distribution represents the probability for x successes in n trials, given a success…

Q: I Date in the repetitve distribytion ta ble is claises o- 214-16-18-11o2-14 517 3 2 4 © variation…

A: Coefficient of variation is used to measure the variability in the data set. It is calculated by…

Q: 2(.5)"-| 2) n31

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Q: If a/b=4/9 then a+b/b=?/?

A: Given data: ab=49 Solution: If a,b,c and d are numbers such that b and d are non zero and ab=cd then…

Q: 三, L Comve For what values does the sevies Ź

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Q: 22) AHDE = □not possible H G 4 by

A: Given

Q: s0e below fied thale

A: We see that number of cars can not be zero. As the experiment only terminates, when the car turns…

Q: 3. If Ax) = , find f"(-1). c. 0 d. -1 a. e b. 2e

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Q: »51. If x, and x, bé 2 values of a variable x and each of the remaining (n-2) values be (x +x. find…

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Q: 7) ind the aes of the shaded m The ph d thendd mean and tandand deviant -180 147

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Q: 4. (4 – e 3*)³dx

A: Here we use the formula  ∫eaxdx=eaxa+C (a-b)3=a3-b3-3a2b+3ab2

Q: 6. Compute 1,= de for p= 0,1 10

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Q: Show that, for all positive values of x and y, etty > e? ху

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Q: 4. If Xbar(original) is the mean of all original observations and we add any constant c to all…

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Q: Let d3+2y (1,)ル

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Q: composition f ho 17) write ho) functions %3D as

A: Basics  Composition of a function : Let f(x) and g(y) are two functions, the output of one function…

Q: 2. If I'faclde- and S'fordx.

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Q: If the first three Fibonacci numbers are given as x, = 1, x2 = 1 and x3 = 2, then what is the least…

A: 5. The term “Fibonacci numbers” is used to describe the series of numbers gener-ated by the…

Q: 11. What is the value of ( X)² for the scores 1,0,2,4? 12. What is the value of >X+1 for the scores…

A: 11)Given scores is 1,0,2,4Let "x" be the scores

Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: Gu Sind values ofx in following fue 21 o Sgn Cx J =llo 22 3. sgn(x²x-2)= -\ 23 24

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Q: Starting at a fixed time, each car entering an intersection is observed to see whether it turns left…

A: We know that  Let X = the number of car observed. For example, for outcome L X takes value 1, for…

Q: \45° 30 y = :: 18 : 9/3 9/6 2 9/6 3 :: 9 :: 9/6 L - - -ר ::

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Q: ENcule the peccse dehred etional he indicakd alues if x>1 fl-3)3= -15 (1-)5 f (-1) -7 fl0)= 0 fla0)

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Q: If n(A) = 10, n(B) = 14 and n(AB) = 3, what is n(AUB)?

A: Given that nA=10, nB=14 and nA∩B=3. To find the value of nA∪B.

Q: (x³x-$) ² = x" 3. Determine the value of a that makes the following statement true = 30 4) a= 16 2)…

A: From the rule of exponent, (ab)n=anbn So, x3x-5-2=xax3-2x-5-2=xa From the rule of exponent,…

Q: Find proj,u and scal,u by inspection without using formulas.

A: Given the graph

Q: 2. mzR+ mS+ mzT= 105° +x= +x = 42 X =

A: We have the given figure as

Q: 78 54 10

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Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

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Q: 2 If A = 22 and B = -70 6. 10 , verify that B = s-AS, where s = -19

A:

Q: Find the rank of thi following maki ces cy reducting it to normal Form 3 1- A = 2. -L -2 -4 3. 3 -2

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.