Suppose that a machine has a certain type of part whose time, in year, to failure is given by T. The random variable T is modeled nicely by the exponential distribution with mean time to failure B= 9. If 9 of these components are installed in different systems, what is the probability that a part is still functioning at the end of 14 years? 0.211 O 0.151 0.169 O 0.189

Q: (-14) + (–7)

A:

Q: dactonive: 2. 2.

A: To factorise x2y2z2-16 ⇒x2y2z2-42 We know that a2-b2=a+ba-b Here a=xyz and b=4

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 12 X-

A: The solution is given below

Q: 2 3 3 4 6 8

A: The mean is computed below.   Aptitude score(x) Frequency(f) x*f 0 4 0 1 2 2 2 3 6 3 0 0…

Q: 4(2w-5) = 5w + 4 %3D

A:

Q: N. 15 12

A:

Q: T. 9

A: Given: To determine: ST→ & tan∠S

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: . 4- 5 4m+8

A:

Q: 1+7/7 + 8

A: Answar would be 10

Q: (4 – a2)

A: To integrate.

Q: 6. 6. х 14

A: Given: 9x=x14

Q: 3) 24 12

A: We can find the value of x as below

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: In the

A: In the diagram it is given that, the angles <G and <H are complementary. m<G = 2x + 10…

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: 3. Graphically Subtract (-1+i) from (3+2i)

A: If we have to subtract a vector b from another vector a, graphically, then we actually are adding…

Q: -7 3. Find (3-4) 5) 1 1

A:

Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Q: 3. 2-1 da

A: Use the product rule to determine the derivative for the given…

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: Identify the postulate for each drawing

A: Identify the postulates for each drawing

Q: A statistics professor finds that he can predict a student's grade on the final exam based on the…

A: The question above has asked about causal relationship b/w student's grade and his attendance based…

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 12 10 6. X%=

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.