Deck Questions
16.How many boards should Daniel expect to be usable if he purchases 180 boards?
(4 pts)
X=180
P=.88
Q=.12
x=any whole number 1-180
180(.88)=158.4
17.What is the probability at least 160 will be usable if 180 boards are purchased?
(4 pts)
Binom.dist.range(n,p,a,b)=0.4111
18.In Daniel’s order of 180 boards, he finds that only 148 of them were usable. What is the probability that 148 or less of
the boards are usable?
(4 pts)
Bin.dist.range(n,p,0,a)=.015
19.Seeing this few usable boards makes Daniel pretty angry. Now he has to waste time returning and replacing boards.
He calls the home improvement store to complain. He tells the customer service manager, “Your board quality has really
gone down. There is no way that 88% of them have are high quality – it’s definitely a lower percentage than that.”
Is it reasonable for Daniel to claim that the percentage of high quality boards is lower than 88%? Explain your answer
based on your answer to #18 above, using the idea of significance. (6 pts)
Only 82% of the boards are usable, which is less than the expected 88%
.015 is less than .05 making it a significantly low value.
20.How many boards should Daniel purchase if he wants a 99% chance of finishing the deck without returning to the
store? Explain how you got your answer.
(148/180)(160/x)=194.5 boards=196

(4 pts)

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- Spring '17
- Daniel