Probability: 'Santa Fe' black-on-white pottery shards

D

divalena

New member
Joined
Nov 26, 2007
Messages
8
Santa Fe black-on-white is a style of pottery that occurs in about 61% of the shard. At one excavation site 8641 pot shards have been found that hae not yet been cleaned and identified. What is the probability that
a) fewer than 5200 are Santa Fe black-on-white
b)more than 5400 are Santa Fe black-on-white
c)between 5200 and 5400 are Santa Fe black-on-white
d) in the solution to this problem, what is n?p?q? Does it appears that both np and nq are larger that 5? Why is this an important consideration?
 
Re: Probability

divalena said:
Santa Fe black-on-white is a style of pottery that occurs in about 61% of the shard. At one excavation site 8641 pot shards have been found that hae not yet been cleaned and identified. What is the probability that
a) fewer than 5200 are Santa Fe black-on-white
b)more than 5400 are Santa Fe black-on-white
c)between 5200 and 5400 are Santa Fe black-on-white
d) in the solution to this problem, what is n?p?q? Does it appears that both np and nq are larger that 5? Why is this an important consideration?
Click to expand...

This - along with the other problem that you posted - looks like a problem of binomial distribution.

Please show us your work/thoughts - indicating exactly where you are stuck.
 
Re: Probability

What does your textbook say about binomial distribution? - in this case you may need to use normal-approximation of the binomial distribution.

What types of example problems that they have worked out?
 
Re: Probability

N= NUMBER OF TRIALS
R= NUMBER OF SUCCESSES
P= PROBABILITY OF SUCCESS ON A SINGLE TRIAL
Q=1-P= PROBABILITY OF FAILURE ON A SINGE TRIAL

If np>5 and nq >5, then r has a binominal distribution that is approximated by a normal distribution with
u=np and q=sqrt (npq)

How can I apply these to my problem?
 
You must log in or register to reply here.
Top