: Which of the following statements are correct? Choose all correct answer.

a.Group of answer choices Standard normal distribution has mean 0 and variance 1.

b. Normal distribution curve has its points of inflection at x = ? ?.

c. Normal distribution has density function n ( x ; ? , ? ) = (1 / 2 ? ? )e ^(? ( x ? ? )^ 2 /2 ?)

d. Normal distribution curve is symmetric.

: a) Find the area under the standard normal distribution curve to the right of z = 0.28

b) Find the area under the standard normal distribution curve to the left of z = - 1.23

c) Find the area under the standard normal distribution curve for z between 1.51 and 2.32

d) Find the area under the standard normal distribution curve for z between -0.44 and -0.61

4.7 a) Prove that if A and B are two disjoint events of positive probability in a sample space S, then the conditional probability of one of these events given the other is zero. b) What is the conditional probability of A given B if A C B? c) What is the conditional probability of A given B if B C A?9) The Logit model allows for nonconstant marginal effects. This means that a. The conditional probability of y; = 1 given x, is nonlinear in xi. b. The conditional probability of y; = 1 given x; is nonlinear in the model coefficients. c. The derivative with respect to x; of the conditional probability of y; = 1 given x; is nonlinear in xi. d. The derivative with respect to x; of the conditional probability of y; = 1 given x; is nonlinear in the model coefficients.Outcome Probability Conditional probability Left- Both left- handed handed Probability Left- handed Right- Left-handed, handed then right- Conditional probability = handed Conditional probability = Left- Right-handed, handed then left- handed Right- Probability handed Right- Both right- Conditional handed probability handed P(both students are left-handed) = P(at least one student is left-handed) =