A dozen eggs contain 12 eggs. A particular dozen is known to have 3 cracked eggs....

A dozen eggs contain 12 eggs. A particular dozen is known to have 3 cracked eggs. An inspector randomly chooses 4 eggs from this dozen for inspection. Let X be the number of cracked eggs in the 4 chosen for inspection.
a. Find the probability mass function of X in table form.
b. Find the cumulative distribution function of X in table form.
c. What is the probability that there is at least 1 cracked egg chosen by the inspector?
d. What is the probability that there are at most 2 cracked eggs chosen by the inspector?
e. Find the expected value of X.
f. Find the standard deviation of X.
g. What is the probability that between 0.15 and 2.85 cracked eggs are chosen by the inspector?

Expert Solution

Total number of eggs is 12

orchestra answered 1 year ago

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