Eyeglassomatic manufactures eyeglasses for different retailers. The number of days it takes to fix defects in an eyeglass and the probability that it will take that number of days are in the table. Number of Days to Fix Defects Number of days Probabilities 24.9% 1. 10.8% 3 9.1% 4 12.3% 13.3% 11.4% 5 6. 7 7.0% 8. 4.6% 1.9% 10 1.3% 11 1.0% 12 0.8% 13 0.6% 14 0.4% 15 0.2% 16 0.2% 17 0.1% 18 0.1% a.) State the random variable. b.) Draw a histogram of the number of days to fix defects c.) Find the mean number of days to fix defects. d.) Find the variance for the number of days to fix defects. e.) Find the standard deviation for the number of days to fix defects. f.) Find probability that a lens will take at least 16 days to make a fix the defect. g.) Is it unusual for a lens to take 16 days to fix a defect?
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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![Eyeglassomatic manufactures eyeglasses for different retailers. The number of days it takes to
fix defects in an eyeglass and the probability that it will take that number of days are in the
table.
Number of Days to Fix Defects
Number of days
Probabilities
1
24.9%
10.8%
3
9.1%
4
12.3%
5
13.3%
6.
11.4%
7.0%
8
4.6%
9.
1.9%
10
1.3%
11
1.0%
12
0.8%
13
0.6%
14
0.4%
15
0.2%
16
0.2%
17
0.1%
18
0.1%
a.) State the random variable.
b.) Draw a histogram of the number of days to fix defects
c.) Find the mean number of days to fix defects.
d.) Find the variance for the number of days to fix defects.
e.) Find the standard deviation for the number of days to fix defects.
f.) Find probability that a lens will take at least 16 days to make a fix the defect.
g.) Is it unusual for a lens to take 16 days to fix a defect?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40a1c5ac-7aa3-4ee1-9f86-a462f058b917%2Fa2770d2a-5d15-469c-a0dc-f3d52f49e48a%2Fnuptdmi_processed.jpeg&w=3840&q=75)
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