f(y). Find the sampling distribution of the minimum of the sample, or 2. Let Y₁,, Yn id f(y). Y1,..., min(Y1,..., Yn). ~

The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650     0.255     0.147     0.855     0.174

(d) X = the length of a randomly selected rattlesnake Describe the set of possible values for the variable. О0, 1, 2, 3, ... O [0, 0) O (0, 0) О 1, 2, 3, ... State whether the variable is discrete. O discrete O not discrete (e) Z = the sales tax percentage for a randomly selected amazon.com purchase, where n = the total number of possible sales tax percentages for online purchases Describe the set of possible values for the variable. O [0, z,] O z, Z2, Z31 ..., Zn О 1, 2, 3, ..., п O [0, n] State whether the variable is discrete. O discrete O not discrete (f) Y = the pH of a randomly chosen soil sample Describe the set of possible values for the variable. О 1, 2, 3, ..., 14 О (0, 14] O [0, 14] О0, 1, 2, 3, ., 14 State whether the variable is discrete. O discrete O not discrete

Use the formula to calculate the linear correlation coefficient for data with the following summary statistics:

29.-

2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the interval [-3,7]. Suppose also, that each share of the stock costs $1.50. Let Y be the net return (total return minus cost) on an investment of 10 shares of the stocks. Compute E(Y).

3. Let X Pois(4). Find the distribution of Y = √X.

(x₁,...,xn) be a data set, and denote its sample standard deviation with s. Let yį = ax; + b. (a) Show that sy = |a|sx, where sy is the sample standard deviation of y = (y₁,..., Yn). (b) Show that Median(y) = a. Median(x) + b. Let x = (c) If a > 0, can you write the relation between Q1(y) and Q1(x)? What happens if a < 0? Note: Q1(x) (or Q1(y)) denotes the first quartile of the distribution of the random variable x (or y)

The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.174

If the random variable X follows the uniform distribution U= (0,1) What is the distribution of the random variable Y= -2lnX. Show its limits.