all of this should be done in MATLAB, please nothing from excel

In this Project, the goals are:

• Determining which distribution is appropriate to use for a given question
• Determining which distribution is used by analyzing graphs.
• Writing your own question for a given distribution and solving that question.

Part One:Determining which distribution is appropriate to use for a given question

A. For each question below, determine which probability distribution would be the most

appropriate to use.

B. write a MatLab script in order to solve the question using the probability distribution

you chose.

C. Change the function you used in your script to a different probability distribution and

compare the results.What happens when you choose the wrong distribution?Provide

a reason for the outcome?(Please do not say because the distribution was incorrect.)

1. Medical professionals use this distribution to model the probability that a certain number of patients will experience side effects as a result of taking new COVID-19 vaccines.

For example, suppose it is known that 5% of adults who take a certain COVID-19 vaccine have negative side effects. Find the probability that more than a certain number of patients in a random sample of 100 will experience negative side effects.

i. P(X > 5 patients experience side effects) =

ii. P(X > 10 patients experience side effects) =

iii. P(X > 15 patients experience side effects) =

**(Hint:Thisis the probability distribution thatis used to model the probability that a certain number of "successes" occur during a certain number of trials.)

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2. Website hosting companies use this distribution to model the number of expected visitors per hour that websites will receive.

For example, suppose a given website receives an average of 20 visitors per hour. Find the probability that the website receives more than a certain number of visitors in a given hour:

i. P(X > 25 visitors) =

ii. P(X > 30 visitors) =

iii. P(X > 35 visitors) =

**(Hint:Thisis the probability distribution thatis used to model the probability that a certain number of events occur during a fixed time interval when the events are known to occur independently and with a constant mean rate.)

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3. It has been said the most computer programs spent an average of 17 hours writing a code for their projects.If we are told the mean is 17 hours with a standard deviation of 2 hours, what is the probability of the following:

i. P(13 < X < 20) =

ii. P(X > 12.83) =

iii. P(X < 18.55) =

**(Hint:Thisdistribution could be found using the integral approach of finding the area under curve.Recall that we found a faster way to help us with these types of problems.)