Precalculus Unit 9 – Sequences, Series, & Binomial

Precalculus
Unit 9 – Sequences, Series, & Binomial Theorem
Name
Date
Thursday April 30, 2015
Homework: Day 5 Review Binomial Theorem
Example 1a Use the Binomial Theorem to find the first three term of
6
( 2m − 7 ) .
Now you try 1b Use the Binomial Theorem to find the first three term of
Example 2a Find the 9th term in the expansion of ( g − 2k ) .
14
Now you try 2b Find the 6th term in the expansion of ( 7w − z ) .
8
Example 3a Find the coefficient of the c 4 d 2 term of ( 9c + 2d ) .
6
Now you try 3b Find the coefficient of the p 2 q5 term of ( 3 p + 2q ) .
7
5
( x − 3y) .
Example 4a An assembly line that produces light bulbs is not operating well. In the past approximately 1%
of all the light bulbs from this assembly line have been defective. Assuming that the defective light bulbs
are randomly distributed, what is the probability that a 12-bulb carton of light bulbs produced by this
assembly line will contain exactly three defective light bulbs?
Now you try 4b…A soccer goalie blocks shots with 70% accuracy. What is the probability that the goalie
will block exactly 8 of the 10 shots teammates attempt at the end of practice?
Example 5a An assembly line that produces light bulbs is not operating well. In the past approximately 1%
of all the light bulbs from this assembly line have been defective. Assuming that the defective light bulbs
are randomly distributed, what is the probability that a 12-bulb carton of light bulbs produced by this
assembly line will contain more than one defective light bulb?
Now you try 5b…A soccer goalie blocks shots with 70% accuracy. What is the probability that the goalie
will block at least 9 of the 10 shots teammates attempt at the end of practice?
Example 6a Suppose that, as reported by the Centers for Disease Control, about 30% of high school students
smoke tobacco. You randomly select 10 high school students, what is the probability of each outcome below.
i.
There are no smokers in the group.
ii.
There are exactly 3 smokers in the group.
iii.
There are at most 3 smokers in the group.
Now you try 6b…The 2000 Census revealed that 26% of all firms in the United States are owned by women. You
call 5 firms doing business locally, assuming that the national percentage is true in your area. What is the probability
of each outcome below?
i.
All the firms are owned by women.
ii.
There are exactly 2 firms owned by women.
iii.
There are at least 3 firms owned by women.
7. Discuss the similarities/differences mathematically speaking between the ‘i’ parts of 6a and 6b
AND in the ‘iii’ parts of 6a and 6b.