Refer to the
previous problem . Suppose that 100 people with tax returns over $25,000 are randomly picked. We are interested in the number of people audited in 1 year. One way to solve this problem is by using the Binomial Distribution. Since
$n$ is large and
$p$ is small, another discrete distribution could be used to solve the following problems. Solve the following questions (d-f) using that distribution.
How many are expected to be audited?
Find the probability that no one was audited.
Find the probability that more than 2 were audited.
2
0.1353
0.3233
Suppose that a technology task force is being formed to study technology awareness among instructors. Assume that 10 people will be randomly chosen to be on the committee from a group of 28 volunteers, 20 who are technically proficient and 8 who are not. We are interested in the number on the committee who are
not technically proficient.
How many instructors do you expect on the committee who are
not technically proficient?
Find the probability that at least 5 on the committee are not technically proficient.
Find the probability that at most 3 on the committee are not technically proficient.
Refer back to
Exercise 4.15.12 . Solve this problem again, using a different, though still acceptable, distribution.
$X$ = the number of seniors that participated in after-school sports all 4 years of high school
0, 1, 2, 3,... 60
$X\text{~}P(4\text{.}8)$
4.8
Yes
4
Suppose that 9 Massachusetts athletes are scheduled to appear at a charity benefit. The 9 are randomly chosen from 8 volunteers from the Boston Celtics and 4 volunteers from the New England Patriots. We are interested in the number of Patriots picked.
Is it more likely that there will be 2 Patriots or 3 Patriots picked?
On average, Pierre, an amateur chef, drops 3 pieces of egg shell into every 2 batters of cake he makes. Suppose that you buy one of his cakes.
On average, how many pieces of egg shell do you expect to be in the cake?
What is the probability that there will not be any pieces of egg shell in the cake?
Let’s say that you buy one of Pierre’s cakes each week for 6 weeks. What is the probability that there will not be any egg shell in any of the cakes?
Based upon the average given for Pierre, is it possible for there to be 7 pieces of shell in the cake? Why?
$X$ = the number of shell pieces in one cake
0, 1, 2, 3,...
$X\text{~}P(1\text{.}5)$
1.5
0.2231
0.0001
Yes
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does
not have adequate earthquake supplies.
What is the probability that we must survey just 1 or 2 residents until we find a California resident who does not have adequate earthquake supplies?
What is the probability that we must survey at least 3 California residents until we find a California resident who does not have adequate earthquake supplies?
How many California residents do you expect to need to survey until you find a California resident who
does not have adequate earthquake supplies?
How many California residents do you expect to need to survey until you find a California resident who
does have adequate earthquake supplies?
Questions & Answers
Is there any normative that regulates the use of silver nanoparticles?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
Source:
OpenStax, Collaborative statistics (custom lecture version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11543/1.1
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