3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf given by: f (x) = ca + for 0 < x <1 a. Find c. Enter c as a reduced fraction. C = b. Find F(x). Enter coefficients as reduced fractions and use ^ to denote powers.

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

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Q: Suppose X - N(-1, 2). What is the z-score of x = 2?

A:

Q: Find the probability that the first traffic light is green given that the second traffic light is…

A: P(A) = 0.55. P(AC) = 0.45 P(B|A) = 0.75 P(B|Ac) = 0.09 P(B) = 0.453P(A|B) = ?

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A: Given x= 4.02, y= 2.01 , z= -2.03 , a= 4, b=2 , c=-2

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

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A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

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A: Given The data is as follows:   x y X \cdot Yxy X^2x2   65 22 1430 4225   72 25 1800 5184…

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A: According to the given information, we have P(A)=0.7P(B)=0.2P(A and B)=0.10

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Q: 13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

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A: Given :- X ~ N(18, 4).  Than we have to find the value of x has a z-score of -2.52.

Q: What is the z-score of x = 3 if X ~ N(5,2)? O -5 O -3 O -1 O 1 O 2 O 3 O 5

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Q: A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1). Find…

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Q: Suppose that Var(X) = 704.85, Var(Y) = 9161.83, and Cov(X,Y) = 2154.62. What is Var(.97X + .03Y)?

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Q: If P(B^c) = 0.8, Find P(B)

A: Given, P(B^c) = 0.8That is, P(Bc) = 0.8Using formula,P(A)+P(Ac) = 1

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.