A person has taken a job to build a project. The probabilities of completion of the job on time with and without rain are 0.40 and 0.92 respectively. If the probability that it will rain is 0.44, then determine the probability that the project will be completed on time.

Q: Suppose we have a bowl with 10 marbles - 2 red marbles, 3 green marbles, and 5 blue marbles. We…

A: Answer - We have a bowl with 10 marbles-                   2 red, 3 green, and 5 blue marbles We…

Q: Let f (2) = sin ł Z %3D (z-3)2 Find the residue of f(z) atz=3 %3D

A: Use the formula for residue.

Q: Question 1 Suppose you flipped a coin 3 times. What is the probability of getting- Two heads and one…

A:

Q: Find the value of x that will make the statement true. Use the most appropriate method you learned…

A: Concept: The concept of algebraic expressions is the use of letters or alphabets to represent…

Q: Comple x nomberes Let f(t) - e"sin 5t (a) Find (6) Find L {f'(+)}

A:

Q: Mean Value Theorem | Suppose two cars start a race at the same time and end it at the same time.…

A: Mean Value Theorem: Let fx be a continuous over the interval a,b and differentiable over interval…

Q: Multiple R-squared: F-statistic: 17.31 on 2 and 7 DF, 0.8318, Adjusted R-squared: 0.7838 p-value:…

A: Here,  X1: capacity X2: rating Y: price   Note :As per guidelines only first 3 subparts have been…

Q: A school is offering two extracurricular classes, one in Playing Chess and the other in Painting…

A: Given information: Number of students is 350. 58 students in Playing chess class. 44 students in…

Q: a. What is the value of the correlation coefficient? Answer rounded to two decimal places b. Which…

A: Given: X Y 76 85 54 61 81 88 97 95 41 60 73 67

Q: Suppose a game in which, on any play, a player has a 25% chance of winning Tk. 40 and 75% chance of…

A: Given that  Probability mass function of X is  x -15 40 P(X=x) 0.75 0.25

Q: 1 -1 1 -1 1 3 -1 1 Let, A = -2 1 4 -1 3 3 -1 -5 1 -6, a. Find a 5x5 matrix B such that AB 0, where 0…

A: It is given a 4x5 matrix A In part (a) we can take the zero matrix B such that AB=0 as there is no…

Q: 3. Consider the following system of linear equations: x+ 2y – z = -1 2.x + 2y + z = 1 3x + 5y – 2z =…

A:

Q: x2-7x+6 2. Lets, f(x) = x-10 a) Find all critical points, if any. b) The classification of each…

A: Introduction: The differential calculus is applicable to find the extremum of a real valued…

Q: 1. In this activity, you want to find a statement S so that ((AVB)^¬A) → S is a tautology. (a)…

A: a) AB¬AA∨BA∨B∧¬ATTFTFTFFTFFTTTTFFTFF

Q: 7. Assume that the chances of the patient having a heart attack are 40%. It is also assumed that a…

A: Given : P(Heart attack) = 0.4 P(Meditation and Yoga) = P(Drug) = 0.5 P(Heart attack | Meditation and…

Q: 4a. Can you find a system of linear equations that has exactly two real solutions. 4b. A set S is…

A: The main objective is to prove the given statements.

Q: The Brac University Debate Team is looking for new members to join the team. The IQ of all the…

A:

Q: Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0)…

A: Since you have asked two questions, here is the solution of part (a).

Q: Consider the equation y" + ay' + by=f(x) where a and b are real constants. If the general solution…

A: Given, second order differential equation y''+ay'+by=fx General solution of a differential equation…

Q: Question 2 Do running times of American movies differ somehow from running times of French movies? A…

A: Given that…

Q: Let f (z) = 47, O = 0, A = 2 and B = 2 + 2i. Let C1 be the contour composed of the line segments OA…

A: The given problem is to evaluate the given complex path integrals over the given different paths.

Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

A: Given to prove ∫0141+x2=π

Q: 2. Rahim is studying for a test, and he wonders if his friend, Shobhon, is also studying for the…

A:

Q: 5. Let X, Y ~ Poisson(X) be independent Poisson rv's with the same parameter >> 0. (a) Find the…

A: Given that  be independent Poisson random variables with the same parameter .

Q: 2. An unbiased coin is tossed thrice. a. Define sample points and sample space. b. Draw the…

A: Given problem Given that   2) An unbiased coin is tossed thrice.   a) Sample Point : It defines as…

Q: Question 2 Suppose your neighbour has two children. You know that between two children, he has a son…

A:

Q: The test scores for a sample of 20 students who are entering their first year courses of Brac…

A:

Q: Solve a and b

A: Consider the given: When the cross section is square: Side of the square = 1−y13Area of the…

Q: Let y1(x) and y2(x) be solutions of the linear differential equation with constant coefficients…

A:

Q: 3. Consider the following system of linear equations: x + 2y – z = -1 2.x + 2y + z = 1 3x + 5y – 2z…

A:

Q: 4. An insurance company classifies people into one of the three classes - good risks, average risks…

A: Obtain the probability that a randomly selected policy holder being involved in an accident. The…

Q: In a university where calculus is a prerequisite for the statistics course, a sample of students was…

A: Given: Calculus Statistics 62 83 67 72 92 87 84 78 87 79 84 79 75 85 55 60

Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

A:

Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Let f (t) = e2t sin 9t Part (a) Find L{f (t)} Part (b) Find L{f' (t).}

A:

Q: In a country, a day can be either rainy or sunny. The probability of a day being rainy is 40.0% .…

A:

Q: Mustafız is bowling beautiful cutters against the Aussies. He has bowled on the first over and also…

A: If X and Y are two independent events then probability of the event X and Y happening together is…

Q: The retail price of 8 laptops along with their corresponding processor speeds in gigahertz are given…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The performance of sales representatives of Xiaomi Bangladesh is monitered using the monthly sales…

A:

Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

A: