It is exponentially each time you are dividing by 4/3
The slope is 16/0 which means it is undefined
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get

The
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
First change the fraction to percent.
3/4 = 60%
Then change the percent to the decimal.
60% = 0.75
Now multiply it.
<span>0.75 x 60% = 45
</span>
45 is the answer.