Probability distribution that meets these requirements: 1) the procedure has a fixed number of trials; 2) the trial must be independent; 3) each trial must have all outcomes classified into two categories; 4) the probability of a success remains the same in all trials is

 The required probability distribution is BINOMIAL DISTRIBUTION.  

Step-by-step explanation:  We are given to state the probability distribution that meets the following requirements :

1) the procedure has a fixed number of trials;

2) the trial must be independent;

3) each trial must have all outcomes classified into two categories;

4) the probability of a success remains the same in all trials

The given requirements are fulfilled by only one type of probability distribution, that is BINOMIAL DISTRIBUTION.

Only the Binomial Distribution has a fixed number of independent trials, each trial has only two possible outcomes (success and failure) and the probability of success remains same in all trials.

Thus, the required probability distribution is BINOMIAL DISTRIBUTION.  

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet