Answer:
a)
b)
c)
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
Part b
Part c
Answer:
The answer is B.
Step-by-step explanation:
Answer:
see attached
Step-by-step explanation:
The domain is the horizontal extent of the graph. The graph extends to infinity in both directions horizontally (that's what the arrows mean). There are no "holes" because the open circle at x=-1 is matched by a filled circle at the same location.
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The range is the vertical extent of the graph. The minimum is -3, which is included in the range. The maximum is infinity (as indicated by the up-pointing arrow).
<h2>1.
The "required option c) 45" is correct.</h2><h2>
2. The value of 8 − 2⋅3 + 7 = 9</h2><h2>
3. The required "option c) 45" is correct.</h2><h2>
4. The required "option a) 40" is correct.</h2><h2>
5. The value of = 8</h2>
Step-by-step explanation:
1. We have,
+ 20
To find, the value of + 20 = ?
∴ + 20
= 5 × 5 + 20
= 25 + 20
= 45
Thus, the "required option c) 45" is correct.
2. We have,
8 − 2⋅3 + 7
To find, the value of 8 − 2⋅3 + 7 = ?
∴ 8 − 2⋅3 + 7
= 8 - 6 + 7
= 15 - 6
= 9
Thus, the value of 8 − 2⋅3 + 7 = 9
3. We have,
To find, the value of = ?
∴
= 6 × 6 + 3 × 3
= 36 + 9
= 45
Thus, the required "option c) 45" is correct.
4. We have,
To find, the value of = ?
∴
= 2 × 2 × 2 + 4 × 8
= 8 + 32
= 40
Thus, the value of = 40
Thus, the required "option a) 40" is correct.
5 . We have,
To find, the value of = ?
∴
= 3 × 3 - 2 × 3 + 5
= 9 - 6 + 5
= 14 - 6
= 8
Thus, the value of = 8
The equation of circle with center (g,f) and radius r is given by,
(x-g)² + (y-f)² = r²
Now, compare equation (x-2)² + (y+4)² = 6 with the above equation.
g = 2 and f = -4
Therefore, center of the circle is (2,-4)