The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>
The length of rope is given as:
Length = 9.3 feet
The price per rope is given as:
Price per rope = $3.82 per foot
The total amount spent by the carpenter is calculated as:
Total amount = Length * Price per rope
Substitute the known values in the above equation
Total amount = 9.3 feet * $3.82 per foot
Evaluate the product
Total amount = $35.526
Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
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Answer:
The probability that the total loss, X + Y is less than 2 is P=0.235
Step-by-step explanation:
We know the joint density function:

To find the probability that (X+Y)<2, we can divide this in two steps.
- When X=0, Y should be less than 2. This is P(X=0,Y<2).
- When X=1, Y should be less than 1. This is P(X=1, Y<1).
We can calculate P(X=0,Y<2) as:

We can calculate P(X=1,Y<1) as:

Then
