If there are five different breads, eight meats, five cheeses, and five special sauces, how many different sandwiches are possib
1 answer:
Answer:
There are 1000 different sandwiches possible.
Step-by-step explanation:
The number of breads available is, 5.
The number of meats available is, 8.
The number of cheese available is, 5.
The number of special sauces available is, 5.
Assuming that a person is allowed 1 selection of each category.
The possible number of sandwiches that can be made is:
Thus, there are 1000 different sandwiches possible.
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Answer:
2y-x-6=0
Step-by-step explanation:
Answer:
A. (Table Attached)
B. (See Step 3)
C. 0.06 (See Step 4)
D. NOT independent (See Step 5)
Step-by-step explanation:
<h3 /><h3>STEP 1:</h3>Name the probabilities:
p₁ = 0.02, p₂ = 0.07, p₃ = 0.91
q₁ = 1-p₁ = 0.98 , q₂ = 1-p₂ = 0.93 , q₃ = 0.09
Let X and Y be the number of bits with high and moderate distortion out of three.
<h3>STEP 2:</h3>A.
The function will follow multinomial distribution:
Substitute the values and make a table.
TABLE IN ATTACHMENT
<h3>STEP 3:</h3>
B.
We calculate marginal distribution by:
<em>∑</em>
can be found by adding all the probabilities in each row for different value of X
For X=0 , ∑P = 0.94157441
For X=1 , ∑P = 0.057624
For X=2 , ∑P = 0.001176
For X=3 , ∑P =0.000008
<h3>STEP 4:</h3><h3>C.</h3>
The mathematic expectation E is the sum of product of each possibility with its probabiity.
<em>∑ </em>
Find E(X):
<h3>STEP 5:</h3>
Condition probability states:
It can also be written as:
Where = 0.057624
Calculate the quotient:
= 0 ,
= 0.862245
= 1 ,
= 0.132653
= 2 ,
= 0.000510
= 3 ,
= 0
Find the dependency:
We found that
= 0.862245
Calculate from summing the column from the table
Which are not equal.
Conclusion:
X and Y are NOT Independent
