Chapter 8.1, Problem 1E

The joint density function of two continuous random variables X and Y is: p(x, y) = {Kcos(x- Find (i) the constant K + y) 0 0

A random variable X has a Gaussian distribution. The mean value of X is 2 and the variance is 4 volts. Compute the following probabilities: a) P(X3) c) P(X<-2) d) P(2

Let X and Y be random variables having joint density function 0≤x≤1,0≤ y ≤ 1 find X, Y, 0, 0, OXY otherwise p(x,y) = {x+y

Find the probability in tossing a fair coin three times, there will appear a) 3 H b)2 H 1T c) 2 T and 1 H d) 3 T.

Let the random variable X represents the number of automobiles that are used for different business purpose on any given workday. Xi p(xi) 1 0.3 Find: a) μx b)X2 c) o 2 2 3 0.4 0.3

survey of 5050 young professionals found that they spent an average of ​$20.5620.56 when dining​ out, with a standard deviation of ​$11.4111.41. Can you conclude statistically that the population mean is greater than ​$2323​? Use a​ 95% confidence interval.       Question content area bottom Part 1 The​ 95% confidence interval is left bracket nothing comma nothing right bracketenter your response here, enter your response here. As ​$2323 is ▼     of the confidence​ interval, we ▼   can cannot conclude that the population mean is greater than ​$2323. ​(Use ascending order. Round to four decimal places as​ needed.)

Q5: 06: the foot lies between 3 and 4. (20 Marks) Let f(x) = 3*, use Lagrange interpolation to find a second-degree polynomial that agrees with this function at the points x₁ = 0, x₁ = 1, x2 = 2.

Answer questions 8.1.13 and 8.2.10 respectively

Answer questions 8.2.6, 8.2.7 and 8.2.9 respectively