What is the range of the discrete finite function F(x)?
1 answer:
Answer:
Step-by-step explanation:
Given
The attached function
Required
The range of the function
A function is represented by matching an arrow from the domain to the range.
This implies that, the arrow comes from the domain to the range
From the attached function, the arrow points to 4,7 and 9
Hence, the range is:
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<h2>Answer:</h2>
(a)
The probability is : 1/2
(b)
The probability is : 1/2
<h2>Step-by-step explanation:</h2>The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement.
The total combinations that are possible are:
(1,2) (1,3) (1,4) (1,5)
(2,1) (2,3) (2,4) (2,5)
(3,1) (3,2) (3,4) (3,5)
(4,1) (4,2) (4,3) (4,5)
(5,1) (5,2) (5,3) (5,4)
i.e. the total outcomes are : 20
(a)
Let A denote the event that the first number is 4.
and B denote the event that the sum is: 9.
Let P denote the probability of an event.
We are asked to find:
P(A|B)
We know that it could be calculated by using the formula:
Hence, based on the data we have:
( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is: (4,5) )
and
( since, there are just two outcomes such that the sum is: 9
(4,5) and (5,4) )
Hence, we have:
(b)
Let A denote the event that the first number is 3.
and B denote the event that the sum is: 8.
Let P denote the probability of an event.
We are asked to find:
P(A|B)
Hence, based on the data we have:
( since, the only outcome out of 20 outcomes is: (3,5) )
and
( since, there are just two outcomes such that the sum is: 8
(3,5) and (5,3) )
Hence, we have: