Answer:
NP= 9
Step-by-step explanation:
MP = 15
MN = 6
Let NP be x
MN+NP=MP
6+x=15
x=15-6
x=9
The value of NP is 9
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
<h3>
What is a binomial probability distribution?</h3>
- The binomial distribution with parameters n and p in probability theory and statistics is the discrete probability distribution of the number of successes in a succession of n separate experiments, each asking a yes-no question and each with its own Boolean-valued outcome: success or failure.
- The binomial distribution is widely used to describe the number of successes in a sample of size n selected from a population of size N with replacement.
- If the sampling is done without replacement, the draws are not independent, and the resulting distribution is hypergeometric rather than binomial.
- Binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.
As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.
Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
Know more about binomial probability distribution here:
brainly.com/question/9325204
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Complete question:
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.
Group of answer choices
(A) binomial probability distribution
(B) distribution of expected values
(C) random variable distribution
(D) mathematical expectation
Graph of f(x-3) is compressed by a factor of 
horizontally of f(x).
<u>Step-by-step explanation:</u>
We have, the graph of f(x)= 
, on replacing f(x) by f(x-3) we get:
= 
.Below shown are the images for graph of f(x) and f(x-3). Both are functions are exponential , and so having exponential graph but f(x-3) is compressed by a factor of horizontally . Domain and range of both functions are same i.e. F(x) & f(x-3) domain & range are same , just difference in graph : 
.
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