Answer:

Step-by-step explanation:
We need to write a quadratic equation so we can use standard quadratic equation:

Plug the given points to get three equations.
for (7,4), we plug x=7 and y=4

...(i)
similarly using other two points, we get:
...(ii)
...(iii)
Now we solve those three equations by any method like substitution, or matrices or by any method and get:

Now plug these values into
, we get final equation as:

Answer:
0.018 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 60,000 miles
Standard Deviation, σ = 1500 miles
We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.
Formula:
P(brand will last between 56,850 miles and 57,300 miles)
0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.
The difference is 27, 735 ft