Answer:
b) 0.2961
c) 0.2251
d) Mean = 11.25, Standard deviation = 1.667
Step-by-step explanation:
We are given the following information:
We treat trucks undergoing a brake inspection passin as a success.
P( trucks undergoing a brake inspection passes the test) = 75% = 0.75
a) Conditions for binomial probability distribution
- There are n independent trial.
- Each trial have a success probability p
- The probability of success is same for all trials.
Then the number of trucks undergoing a brake inspection follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 15
b) P(proportion of groups will between 8 and 10 trucks pass the inspection)
We have to evaluate:
c) P( exactly 3 trucks fail the inspection)
p = 0.25
d) Mean and standard deviation

Answer:
i struggle with this to sry and hey
Step-by-step explanation:
Answer:
D 111.4 cm²
Step-by-step explanation:
Answer:
h³- 8h² + 16h
Step-by-step explanation:
The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.
So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>
Now, the volume of a rectangular prism is given by V = height x width x length
So, considering the values we have in this problem we get:
V= height x width x volume
V = h (h-4)(h-4)
V= h(h-4)²
V= h (h²-8h + 16)
V = h³- 8h² + 16h
Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h