What is not a requirement of the binomial probability distribution?
1 answer:
Answer:
B. the trials must be dependent
Step-by-step explanation:
The image for the question is attached.
The missing options are;
A. The probability of a success remains the same in all trials.
B. The trials must be dependent.
C. Each trial must have all outcomes classified into two categories.
D. The procedure has a fixed number of trials.
For a binomial distribution probability, the event must be repeated for a number of time (n) and the probability of success (q) must be the same during each trial.
Binomial distribution probability has two possible outcome: success (p) or failure (q). The event are also independent of each other.
The formula for a binomial distribution probability is given as:
P(X=x) = nCx (p ^ x) (q ^ (n-x))
From the above, we can see that the answer is:
B. the trials must be dependent
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I normally use a graphing calculator, but if you need to graph by hand I normally make a table with the x-values of -5 to 5 and plug in those range of x-values to graph the dots on the plot.
For example, if the function was , I would want to start with a table, and plug in my x-values to given formula as I go through each x.
x = -5 then y =
x = -4 then y =
x = -3 then y =
x = -2 then y =
x = -1 then y =
x = 0 then y = 0
x = 1 then y =
x = 2 then y =
x = 3 then y =
x = 4 then y =
x = 5 then y =
Of course you don't have to use for the x-values -5 to 5 if it's too long. At least 5 points should be made on the graph to improve accuracy. Other things like max, min, y-intercept, slope, x-intercept, etc all matter when graphing but if you were to just look at how to draw the basic functions first and how they look like, everything else will come naturally.
Now that the table of x and y values are made, you just need to plot this on a graph and connect the dots. The rest of the graph can be sketched to be an estimate of what the other values of x would possibly be equal to. As long as the bottom points of is complete and accurate the rest is drawn as close as you can make it, if that makes sense...
Hope that helps!