A bowl contains 10 red balls and 10 blue balls. A person selects balls at random without looking at them. (a) How many balls must the person select to be sure of having at least 3 balls of the same color? (b) How many balls must the person select to be sure of having at least 3 blue balls?

Q: i. If n is positive integer, Find (√3+ i)” + (√3 − i)”. ii. Separate tanh-¹(x + iy) into real and…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Given X~ N(20,16), find c. P( 19 < X<23) (4 decimal place)

A: X~N(20,16) Mean(μ)=20 Variance(σ2)=16 standard deviation(σ)=16=4

Q: Q2/ Fin x in the

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Q: Find dy for each of the fo llowing (4) y In (tax? tbx +c )

A:

Q: As x - 4 , g(x) - 2. Write an equation for a function that has a vertical asymptote at 1 and a slant…

A:

Q: (2) If BC À. then P(B| A) P(B) P(A)

A:

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Note: Thank you for the question. Since multiple question with multiple sub parts are posted,…

Q: For events A and B, prove that P (An B) >1– P (Aº) – P (Bº).

A: We want to prove the above result. Result: 0≤P(A)≤1

Q: Differentiate .3 to 1-x3 w.r.t. x3.

A:

Q: 1- 21 29. G(t) 3+

A: We have to find derivative

Q: Let P(E)=0.85, P(F) = 0.23, and P(EUF) = 0.94. Find (a) P(EIF) and (b) P(FIE). (a) P(EIF) = (Type an…

A:

Q: sequence otherwire. show that the Se

A: I have given an answer in step 2.

Q: 6. Find f'(1) if Ax) = nx

A:

Q: The mean weight of male nurses working at a local hospital is less than 178 lbs. Express the null…

A: null hypotheses  H0 : μ = 178

Q: suppose that X~N (3, oʻ), AP (3<X<6) =0.4, then P(X20)= A.0.4 B.0.9 C.0.6 D.0.1

A: We have to find given probability.

Q: According to boolean algebra x.(1 + y) =?

A: We will use the following 3 rules : (i) Distributive law : a•(b+c) = a•b + a•c  (ii) Identity law :…

Q: Let X=(1,0, – 1, - V2). Then, ||X||1= Select one: a. -1-V3 b. C. -/3 o d. 2+V2

A:

Q: Let X N(10, 23). Then P( X< 10) =

A:

Q: X = {a,63 wiTe tind large To Pology le T 2) on X

A: There are 4 topology based on above given set elements Discussed below

Q: Find ſ using residues.

A:

Q: a.Give the joint p.d.f f(x,y) if the 2 balls are drawn with replacement? b.Give the joint p.d.f…

A: As per the guidelines of Bartleby,we are giving here solution of first 3 parts only

Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

Q: Compute the values: D2-2D1, D3-3D2, D4-4D3, D5-5D4, …, D10-10D9, where the D’s are the derangements…

A: The values of D1, D2 , D3, …. , Dn are given and pattern is also given for the Dn.   Now, according…

Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

A:

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x :x > 5}. Find h. D'n (AUB)

A:

Q: Use v=&lt;3/5, 4/5&gt;, w= &lt;-4/5, 3/5&gt; to find v.w and proj w(v)

A: Given thatv = &lt;3/5, 4/5&gt; and w = &lt;-4/5, 3/5&gt;To find:wprojwV

Q: H=[5,X1,7,3,X2] A. size(H) B. descend (H) C. prod(H) D. H(1)=(X1) E. H(2:4)=[]

A: In this problem, there are five parts are given, size, descend, prod and some expressions are…

Q: If P(A= 0.7, P(B)= 0.2, and A and B are mutally exlcusive, find P(A or B).

A: The provided information are: P(A)=0.7 P(B)=0.2 A and B are mutually exclusive events To Find P(A or…

Q: Let flr) - ea Than S() -

A: Given: f(x)=1x2+18. So,         f'(x)=1x2+18'        =-8x2+19x2+1'        =-8x2+19· 2x…

Q: Ex . If x is adisc. r.v, Such that :- Ex) :2 Vor Lx)= 5. find: O EL-2x -1) e var (-2x- ) O E(x)

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.