11. For any collection of events A1, A2, A3, . . . , Ap, it can be shown that the inequality P(A, or A, or Az or ... or Ag) < P(A;) + P(A,) + P(A;) + ·…· + P(A,) always holds. This inequality is most useful in cases where the events involved have relatively small probabilities. For example, suppose a system con- sists of five subcomponents connected in series (cf. Example 5.8) and that each component has a .01 probability of failing. Find an upper bound on the probability that the entire system fails.

Q: 4. x² 2x 5. (125x²y¹) 6. (16a 1/4

A: (4)  K=x22x-5ax×ay=ax+y

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: 3 3 x-5 1 322

A:

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 10 8/10 + 9 7/12=

A:

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

Q: 10 14 9.) Find O 18

A:

Q: 4n – 1

A:

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: 1 7. 27 2.

A:

Q: find  3/4 + 1/8

A:

Q: 18 2h 6h

A: Find the value of h  For which two line segments are equal

Q: 16 2/5- 8 4/9

A:

Q: 4/11+3/8

A: Topic:- simplification

Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: Expand (a −b)4

A:

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: 1/5 + 1/10 + 1/15

A: Sum of numbers

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: 10. 15gr, 20s

A: Given

Q: 42 -13

A:

Q: 6 3/20 - 6 3/8

A:

Q: 12.2: Using Diagrams to Represent Division 2. Use long division to find 77.4 +5.

A: Given, 77.45  Using long division and diagram to represent , we have to find 77.45

Q: (1– 3csc(

A:

Q: 22 7/8 - 7=

A: Given,

Q: nvert

A:

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

A:

Q: 35-40 Coterminal Angles? The measures of two angles in standard position are given. Determine…

A: NOTE: Refresh your page if you can't see any equations. . two angles are coterminal if the…

Q: 1/20+1/10+1/4

A:

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.