Let Q represent the number of smooshed doughnuts in a randomly selected box of one-dozen doughnuts from Fisher Doughnuts. Suppose the probability distribution of Q is as follows Value (Q) 0 Probability (Q) .8 Show all Work and Calculation. 1 .1 2 .06 3 .04 a) What is the probability that at least nine doughnuts in a randomly selected dozen aren't smooshed? b) Calculate and interpret fo c) Calculate and interpret d) Homer Simpson, an infamous doughnut inspector, will continue to inspect (and probably) eat boxes of dozens of doughnuts until he finds one that has at least two smooshed doughnuts. Find the probability that he stops eating doughnuts in one of his first three cartons? e) In ten boxes of doughnuts, what is the probability that at least 8 boxes will have no smooshed doughnuts?

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Let Q represent the number of smooshed doughnuts in a randomly selected box of one-dozen doughnuts from
Fisher Doughnuts. Suppose the probability distribution of Q is as follows
Value (Q)
0
Probability (Q)
.8
Show all Work and Calculation.
1
.1
2
.06
3
.04
a) What is the probability that at least nine doughnuts in a randomly selected dozen aren't smooshed?
b) Calculate and interpret μ
c) Calculate and interpret o
d)
Homer Simpson, an infamous doughnut inspector, will continue to inspect (and probably) eat boxes of
dozens of doughnuts until he finds one that has at least two smooshed doughnuts. Find the probability
that he stops eating doughnuts in one of his first three cartons?
e) In ten boxes of doughnuts, what is the probability that at least 8 boxes will have no smooshed
doughnuts?
Transcribed Image Text:Let Q represent the number of smooshed doughnuts in a randomly selected box of one-dozen doughnuts from Fisher Doughnuts. Suppose the probability distribution of Q is as follows Value (Q) 0 Probability (Q) .8 Show all Work and Calculation. 1 .1 2 .06 3 .04 a) What is the probability that at least nine doughnuts in a randomly selected dozen aren't smooshed? b) Calculate and interpret μ c) Calculate and interpret o d) Homer Simpson, an infamous doughnut inspector, will continue to inspect (and probably) eat boxes of dozens of doughnuts until he finds one that has at least two smooshed doughnuts. Find the probability that he stops eating doughnuts in one of his first three cartons? e) In ten boxes of doughnuts, what is the probability that at least 8 boxes will have no smooshed doughnuts?
Expert Solution
Step 1

A probability distribution of a discrete random variable is a statement how the values of the variable is distributed with their probabilities. The function thus made that indicates probabilities for different values is called probability mass function.

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