1
function is the relationship between independent variable & dependent variable i.e. F:R-R
The difference between a fixed second mortgage and one with a variable rate is that fixed second mortgage has a fixed rate and is commonly thought of as safer than a mortgage with a variable rate.
Ordinary Diff -> One variable Partial Diff -> More than one variable
derivative means rate of change of one variable w.r.t one variable while in differentition rate of change of one variable w.r.t more than one variables.
Essentially, none. Every negative angle can be made positive by adding 2*pi radians (or 360 degrees, or a multiple).
0.97
0.636 approx.
It is true because the distribution is symmetrical about Z=0.
True. Due to the symmetry of the normal distribution.
It depends on what the random variable is, what its domain is, what its probability distribution function is. The probability that a randomly selected random variable has a value between 40 and 60 is probably quite close to zero.
The probability increases.The probability increases.The probability increases.The probability increases.
A random variable is a variable that can take different values according to a process, at least part of which is random.For a discrete random variable (RV), a probability distribution is a function that assigns, to each value of the RV, the probability that the RV takes that value.The probability of a continuous RV taking any specificvalue is always 0 and the distribution is a density function such that the probability of the RV taking a value between x and y is the area under the distribution function between x and y.
The formula, if any, depends on the probability distribution function for the variable. In the case of a discrete variable, X, this defines the probability that X = x. For a continuous variable, the probability density function is a continuous function, f(x), such that Pr(a < X < b) is the area under the function f, between a and b (or the definite integral or f, with respect to x, between a and b.
The area under the pdf between two values is the probability that the random variable lies between those two values.
A probability density function assigns a probability value for each point in the domain of the random variable. The probability distribution assigns the same probability to subsets of that domain.
The value of a probability is a number between 0 and 1 So it's either positive and less or equal to one or null
False. It is approximately 1. Theoretically, it is not 1. I used excel, and I know the probability is between 0.999999 and 1. as the probability of Z<6 is 0.999999. I can't calculate the probability exactly because excel only goes to 7 place accuracy.