SOLUTION: Flaws in plate glass used for large office buildings occur randomly at an average of 1 per 10 square feet.
PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS.
Question content area bot
Algebra.Com
Question 1205907: Flaws in plate glass used for large office buildings occur randomly at an average of 1 per 10 square feet.
PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS.
Question content area bottom
Part 1
a) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws?
The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws is
enter your response here.
b) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw?
The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw is
enter your response here.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
average number of flaws is 1 every 10 square feet.
if 60 square foot panel, then the average number of flaws is 6.
assuming a proportion type problem, then:
n = 60
p = .1
q = 1-p = .9
np = 60 * .1 = 6
s = sqrt(n*p*q) = sqrt(5.4) = 2.3238 rounded to 4 decimal places.
if average number of flaws is 2, then:
z = (2-6)/2.3238 = -1.72 rounded to 2 decimal places.
probability of getting a z-score less than that is .0427 rounded to 4 decimal places.
if average number of flaws is 1, then z = (1-6)/2.3238 = -2.15 rounded to 2 decimal places.
probability of getting a z-score greater than or equal to that is .9842 rounded to 4 decimal places.
these are ball park figures.
the actual value may not necessarily be exactly what they are, but they should be close.
best i can do based on what i know.
RELATED QUESTIONS
A canvas manufacturer has to adjust the price of the canvas it sells according to how... (answered by Boreal)
approximately 10% of the glass bottles coming off a production line have serious flaws in (answered by swincher4391)
Glass Bowls & Plate Manufacturing, Inc. makes glass bowls and plates, and it can sell all (answered by Alan3354)
A statistics professor finds that when he schedules an office hour at the 10:30 am time... (answered by Boreal)
The mean number of flaws per square yard in a type of carpet material is claimed to be... (answered by Theo)
twenty sheets of aluminium alloy are examined for surface flaws the frequency of the... (answered by greenestamps)
A glass pyramid is designed to be situated at the center of a large courtyard. Each of... (answered by Earlsdon)
If the number of flaws on a piece of plywood occurs randomly and follows the Poisson... (answered by Boreal)
1. An average of 2.5 accidents occur per day in a large city. Using the poisson formula,... (answered by ikleyn)