1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maru [420]
3 years ago
5

An instructor who taught two sections of Math 161A, the first with 20 students and the second with 30 students, gave a midterm e

xam. After all the students had turned in their exam pa- pers, the instructor randomly ordered them before grading. Consider the first 15 graded exam papers. (a) Find the probability that exactly 10 of these are from the second section. Find the probability that at least 10 of these are from the second section. Find the probability that at least 10 of these are from the same section?
Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

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>

You might be interested in
Maryanne went to lunch with a friend. The bill was $35.60 before tax. Sales tax rate is 7.25%, and she
Stolb23 [73]

Answer:

$43.91

Step-by-step explanation:

Calculating Total Cost. Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.

$35.60 + $2.58 (tax) = $38.18

$38.18+ $5.73 (tip at 15%) = $43.91 total

hope this helps you!

4 0
2 years ago
nick want to buy a pair of shoes. The original cost of the shoes is $56.75, and the markup is 12 percent. How much will he have
Yakvenalex [24]

Answer:

我不知道我不知道我不知道

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Select the correct answer.
V125BC [204]

Answer:

b

Step-by-step explanation:

any set times the radius will give you the answer

3 0
3 years ago
(Functions and Relations) Answer getting brainliest!!
Ymorist [56]

Answer:

D

Step-by-step explanation:

Have a nice day

6 0
3 years ago
Punch recipe Ginger Ale 40% Orange Juice 25% Pineapple juice 20% Sorbet 15% Question 1: If you have 3 cups of pineapple juice, h
andrew11 [14]

Answer:

Question 1: 15 cups

20% (pineapple juice) = 3 cups, 100/20=5, 5*3 = 15 cups

Question 2:  20 cups

25% (orange juice) + 5% = 30%

30% (orange juice) = 6 cups, 30/6=5%, 100/5=20

I can't explain the whole thing very clearly, but hope it helped

8 0
3 years ago
Read 2 more answers
Other questions:
  • What does this expression mean
    15·2 answers
  • "At an ice cream shop, customers pay $3.00 for a medium ice cream plus $0.75 per topping. At a second ice cream shop, customers
    9·1 answer
  • Find a vector a with representation given by the directed line segment AB. Draw AB and the equivlent representation starting the
    9·1 answer
  • How can you find the common ratio of an exponential function set from a table of values?
    14·2 answers
  • Please help me no links!!
    5·1 answer
  • Kirk is ordering matching T-shirts for his basketball team, the Mighty Falcons. Each shirt costs $5.79. What is the total cost i
    14·2 answers
  • {[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
    7·1 answer
  • Use the long division method to find the result when 4x^4+20x^3+27x^2−2x−10 is divided by 4x ^2-1
    9·1 answer
  • 3x + 2y = 8<br> 5x + 2y = 12
    10·1 answer
  • PLEASE HELP ASAP SEE THE PICTURE!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!