Answer:
a) 
b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:

The probability of finding a value between c and d is:

The probability of finding a value above x is:

The probability density function of the uniform distribution is:

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.
This means that
.
a. Give a mathematical expression for the probability density function of driving distance.

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Y+4<u><</u>9
subtract 4
y<u><</u>5
y is smaller than and equal to 5
so you shade from 5 to the negative end to infinity (to the left) and shade the 5 to show that it is included (attachment says A)
6 less than (-6) 2 times a number (2 time x) is greater than (>) 8 (8)
-6+2x>8
add 6
2x>14
divide 2
x>7
so
x is bigger than 7
shade from 7 to the positive end to infinity (to the right) and don't shade 7 but put a circle around it to show that it is not included (attachment says B )
I have included pictures of the number lines
208.81 square centimeters of aluminium are needed
<em><u>Solution:</u></em>
Given that,
Radius = 3.5 cm
Height = 6 cm
We have to find the square centimeters of aluminum needed
So we have to find the surface area of cylinder
<em><u>The surface area of cylinder is given by formula:</u></em>

Where "r" is the radius and "h" is the height of cylinder
<em><u>Substituting the values we get,</u></em>

Thus 208.81 square centimeters of aluminium are needed
<span>V = 1/3(3.14)r^2h
=1.046r^2h
Solving for V </span>