Answer
Find out the how many boxes of paper can the forklift move at one time .
To proof
Let us assume that the number of boxes be x.
As given
A forklift can carry up to 2500 pounds.
You want to move boxes of paper which each weigh 140 pounds.
The paper boxes are supported on one pallet which weighs 50 pounds.
Than the equation is become in the form
140x +50 ≥ 2500
140x ≥ 2500 - 50
140x ≥ 2450
x ≥ 17.5
Therefore the 18 boxes of paper can the forklift move at one time .
Hence proved
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:
Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:
More can be learned about the binomial distribution at brainly.com/question/24863377
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