a)
What is the probability that the 4th well drilled will be productive (or the first success by the 4th)?
b)
What is the probability that the 7th well drilled is productive (or the first success by the 7th)?
c) Is it likely that x could be as large as 15(or the first success by the 15th)?
d)
Find the mean and standard deviation of the number of wells that must be drilled before the company hits its first
productive well.
Example 4:
An insurance company expects its salespersons to achieve minimum monthly sales of $50,000.
Suppose that
the probability that a particular salesperson sells $50,000 of insurance in any given month is .84.
If the sales in any one
month period are independent of the sales in any other, what is the probability that exactly three months will elapse before the
salesperson reaches the acceptable minimum monthly goal?
Example 5:
An automobile assembly plant produces sheet metal door panels. Each panel moves on an assembly line.
As the
panel passes a robot, a mechanical arm will perform spot welding at different locations. Each location has a magnetic dot
painted where the weld is to be made.
The robot is programmed to locate the dot and perform the weld.
However,
experience shows that the robot is only 85% successful at locating the dot. If it cannot locate the dot, it is programmed to try
again
.
The robot will keep trying until it finds the dot or the panel moves out of range.
a)
What is the probability that the robot's first success will be on attempts n = 1, 2, or 3?
b)
The assembly line moves so fast that the robot only has a maximum of three chances before the door panel is out
of reach. What is the probability that the robot is successful in completing the weld before the panel is out of reach?
Homework:
Day 2:
pg 550, 8.48, 8.49; pg 551 – 8.51, 8.53, 8.54, 8.55
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View Full DocumentChapter 8:
The Binomial and Geometric Distributions
Chapter 8:
Review
Objectives:
Students will be able to:
Summarize the chapter
Define the vocabulary used
Know and be able to discuss all sectional knowledge objectives
Complete all sectional construction objectives
Successfully answer any of the review exercises
Vocabulary:
None new
Homework:
pg 556 – 59; 8.59  8.66
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 Fall '12
 SonjaCox
 Geometric Probability, Binomial, Probability, AP Statistics, Probability theory, Cumulative distribution function, B. Geometric, Geometric distributions

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