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:
4 degrees.
Step-by-step explanation:
A complete circle has 360 degrees.
(4/360) of a circle = (4/360) * 360 degrees = 4 degrees
Answer:
23 inches wider
Step-by-step explanation:
Subtract the 2 from the width 25 to get 23
Answer:
£1,001,258
Step-by-step explanation:
(75x4000)+(62x5350)+(49x7542)=£1,001,258
The distance from Dan's house to Samuel's house is 4 km
The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.
Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km
Pythagoras theorem shows the relationship between the lengths of a right angled triangle.
Using Pythagoras theorem:
5² = x² + 3²
25 = x² + 9
x² = 16
x = 4 km
Hence the distance from Dans house to Samuel's house is 4 km
Find out more at: brainly.com/question/21846482
