Answer:
The radius of the cylinder is: r = 11 yards
Step-by-step explanation:
Given
The height of cylinder = h = 16 yards
Volume of cylinder = V = 6079.04 cubic yards
To determine
The radius of cylinder = r = ?
Using the formula involving volume of the cyliner
V = πr²h
substituting h = 16, V = 6079.04 and π = 3.14
6079.04 = 3.14 (r²) 16
r² = [6079.04] / [(3.14) (16)]
r² = 6079.04 / 50.24
r² = 121
As radius can not be negative.
Therefore, the radius of the cylinder is: r = 11 yards
Answer:
a. E(F)=0.875
b. 99.9976%
c. P(X=2)=0.1683
Step-by-step explanation:
a. We notice that this is a binomial distribution with the probability of success;
#We are given the sample size, n=7. The Expected value is calculated as:
Hence the expectation, E(F)=0.875
b. To calculate the probability of the range of F, we need to calculate all possible outcomes of F in the given sample;
Hence, the range of F is 99.9976%
c. The probability that F=2 is calculated using the binomial distribution function as:
Hence, the probability of F=2 is 0.1683