Please help with somewhat some work.
1 answer:
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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>Given:
Number calories in a 6-inch pizza = 640 calories
For the pizza of 6 inch
For the pizza of 12 inch
Number calories in a 6-inch pizza = 640 calories, therefore:
Substitute:
And solve for x:
Now, Estimate the number of calories in one slice of a 12 inch pizza:
Answer: 320 calories