Answer:
<em>The answers are for option (a) 0.2070 (b)0.3798 (c) 0.3938
</em>
Step-by-step explanation:
<em>Given:</em>
<em>Here Section 1 students = 20
</em>
<em>
Section 2 students = 30
</em>
<em>
Here there are 15 graded exam papers.
</em>
<em>
(a )Here Pr(10 are from second section) = ²⁰C₅ * ³⁰C₁₀/⁵⁰C₁₅= 0.2070
</em>
<em>
(b) Here if x is the number of students copies of section 2 out of 15 exam papers.
</em>
<em> here the distribution is hyper-geometric one, where N = 50, K = 30 ; n = 15
</em>
<em>Then,
</em>
<em>
Pr( x ≥ 10 ; 15; 30 ; 50) = 0.3798
</em>
<em>
(c) Here we have to find that at least 10 are from the same section that means if x ≥ 10 (at least 10 from section B) or x ≤ 5 (at least 10 from section 1)
</em>
<em>
so,
</em>
<em>
Pr(at least 10 of these are from the same section) = Pr(x ≤ 5 or x ≥ 10 ; 15 ; 30 ; 50) = Pr(x ≤ 5 ; 15 ; 30 ; 50) + Pr(x ≥ 10 ; 15 ; 30 ; 50) = 0.0140 + 0.3798 = 0.3938
</em>
<em>
Note : Here the given distribution is Hyper-geometric distribution
</em>
<em>
where f(x) = kCₓ)(N-K)C(n-x)/ NCK in that way all these above values can be calculated.</em>
Answer:
Step-by-step explanation:
The first expression has value 12
The second expression has value -6
The third expression has value
4
And finally the forth expression has value 1.14
((13 + 7) = 20
(12+4) = 16
16/ (20 - 16)= 16 / 4
16/4 = 4
Answer: 0
Step-by-step explanation:
23.70/1.8 = 13.16666....
Rounding to the nearest hundred is 0, because 13 is less than 50.
Answer:
$1.60
Step-by-step explanation:
So, to find the persent of a number, we need to make the percent a decimal.
So, 20% is equal to 0.2
Then, we need to multiply 0.2*8
8.0
* 0.2
________
1.6
So, our answer is 1 dollar and 60 cents!
For this case we have the following fraction:
To find the common denominator, what we must do is rewrite the fraction.
For this, we subtract fractions in the numerator and the sum of fractions in the denominator.
We have then:
We observe that the common denominator is given by the product:
Answer:
the common denominator is:
D)ab
