The probability that if 5 tires are inspected, exactly 2 have a defect is 0.021
<h3>How to calculate the probability</h3>The given parameters are:
--- the proportion that contains defect
--- the sample size
-- the selected sample
The probability is then calculated as:
So, we have:
Hence, the probability that if 5 tires are inspected, exactly 2 have a defect is 0.021
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The function g(x) has a greater slope and the function f(x) has a greater y-intercept
<h3>How to compare the slopes?</h3>
The function is given as:
Function f(x)
x f(x)
-1 -6
0 -3
1 0
g(x) = 4x - 5
The slope of f(x) is calculated using:
This gives
Evaluate
m = 3
By the general format of a linear equation, the slope of the function g(x) is:
m = 4
4 is greater than 3
Hence, the function g(x) has a greater slope
<h3>How to compare the y-intercepts?</h3>This is when x = 0
For the function f(x), we have:
f(0) = -3
For the function g(x), we have:
g(0) = 5-
-3 is greater than -5
Hence, the function f(x) has a greater y-intercept
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