A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks: (i) two black balls (ii) a black ball in his second draw

Q: Evaluate: da

A:

Q: Question attached

A: Given information- Sample proportion, p = 0.25 We know that, sample is best estimator of population…

Q: Question attached.

A: a. The values 1, 2, and 5 to be a population. The 9 different possible samples are,…

Q: /875:59

A:

Q: r. 34, V415

A:

Q: only d

A: Given the table, Here,  fx=x2-1x-1 We need to explain why we can't just find f1 to determine…

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: dy if y =t! and t=Vx Fin d

A: Let's find.

Q: cosydy

A:

Q: puls

A: 10+10 is 20

Q: Let Mbe as in Equation (3.14) and let X = [1, 0, ½]¹. Show that the entries of Y=MX sum to 1.

A:

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: 3. Identify all the cycles at each node of the directed graph above.

A: Cycle is defined as a path that start and end at the same vertex.

Q: A) Suppose F(xy)- М(х,у) і + N(x,y) j is a vector field on the xy plane such that F•dr = 0 Se I F•dr…

A:

Q: Question attached

A:

Q: solve, d,e,f

A: Given, the quarterly sales of the TRK-50 mountain bike for the previous four years by a bicycle shop…

Q: Answer unclear

A:

Q: 7

A:

Q: -3 1

A:

Q: Find Sx" ĕ dx

A:

Q: a b er

A: Solution

Q: part c pls

A: C) Given that r(u,v)=(u cos v, u sin v, v) with 1,2×0,2π I(x,y,z)=(0,0,x2+y2+z2) Here x=u cos v, y=…

Q: A= A

A: We will find out the required value.

Q: Question attached

A: Hello. Since your question has multiple parts, we will solve the integration by first six part for…

Q: A О в C

A: Given: To Find: To find the slope of the following line segments:

Q: ス 1+ es

A: We will find the solution We will find C.F and P.I  Then the solution Y = C.F + P.I

Q: nvert

A:

Q: The population

A:

Q: The graph on the left was created by transforming f(x) = x'. Determine the equation of the graph.…

A: We need to determine equation of graph.

Q: AB 20

A: From the figure, we can see that triangle AXB and triangle AXC are congruent. If they are congruent…

Q: answer d

A: From the  above parts we have  µx̅ = 155σx̅  = 6.75

Q: गयहिनाड ते coSx+cosy Cotx dx CSC X

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.