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
Solnce55 [7]
3 years ago
7

4 men and 6 women are ranked according to their scores on an exam. Assume that no two scores are alike, and that all 10! 10 ! po

ssible rankings are equally likely. Let ???? X denote the highest ranking achieved by a man (so ????=1 X = 1 indicates that a man achieved the highest score on the exam). Find each of the following:
Find each of the following:
(a) P(X=2).
(b) P(P(X=3).
(c) P(P(X=6).
(d) P(P(X=9).
Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:

a)  P(X=2)=\frac{2}{15}

b) P(X=3)=\frac{1}{30}

c) P(X=6)=0

d)  P(X=9)=0

Step-by-step explanation:

We know that are 4 men and 6 women are ranked according to their scores on an exam.  X = 1 indicates that a man achieved the highest score on the exam.

a) We calculate  P(X=2).  

We calculate the number of possible combinations

C^{10}_{2}=\frac{10!}{2! (10-2)!}=\frac{10\cdot 9\cdot 8!}{2\cdot 1 \cdot 8!}=45

We calculate the number of favorable combinations

C_2^4=\frac{4!}{2!(4-2)!}=6

We get that is

\boxed{P(X=2)=\frac{6}{45}=\frac{2}{15}}

b) We calculate  P(X=3).  

We calculate the number of possible combinations

C^{10}_{3}=\frac{10!}{3! (10-3)!}=\frac{10\cdot 9\cdot 8\cdot 7!}{3\cdot2\cdot 1 \cdot 7!}=120

We calculate the number of favorable combinations

C_3^4=\frac{4!}{3!(4-3)!}=4

We get that is

\boxed{P(X=3)=\frac{4}{120}=\frac{1}{30}}

c) We calculate  P(X=6).  This case is not possible because 6 men cannot be selected because we have been given 4 men.

We conclude P(X=6)=0.

d) We calculate  P(X=9).  This case is not possible because 9 men cannot be selected because we have been given 4 men.

We conclude P(X=9)=0.

You might be interested in
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not mixed number or decimal.
Vesna [10]

Answer:

<em>The slope is:</em>

m=-\frac{3}{2}

Step-by-step explanation:

The slope m of a line is calculated using the following formula

m=\frac{y_2-y_1}{x_2-x_1}

Where the points (x_1, y_1) and (x_2, y_2)  are two points belonging to the straight line

Notice in the graph that the line passes through the points

(0, 2) and (2, -1)

Then the slope is:

m=\frac{-1-2}{2-0}

m=\frac{-3}{2}

4 0
3 years ago
A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on three numbers pays 11 to 1 (that is, if you bet $1 and one of
OLga [1]

Answer:

You are expected to lose $0.05 (or win -$0.05)

Step-by-step explanation:

Since the roulette wheel has the numbers 1 through 36, 0, and 00, there are 38 possible outcomes.

In this bet, you are allowed to pick 3 out of the 38 numbers. Thus, your chances of winning (P(W)) and losing (P(L)) are:

P(W)=\frac{3}{38}\\P(L) = 1 - P(W)\\P(L) = \frac{35}{38}\\

The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:

EV = (11*\frac{3}{38}) -(1*\frac{35}{38})\\EV = -\$0.0525

Therefore, with a $1 bet, you are expected to lose roughly $0.05

5 0
3 years ago
A bag contains red and blue marbles. One-fourth of the marbles are red. If there is one red marble in the bag, how many blue mar
Alenkinab [10]
There are 3 marbles.
4 0
3 years ago
A= 1/2 h (m+n)<br> solve for n
melisa1 [442]

Answer:

2hms+2hns

Step-by-step explanation:

3 0
2 years ago
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21
stiks02 [169]

Answer:

Step-by-step explanation:

4 cups of J for every 7 cups of soda  4:7

21 cups of soda will take 12 cups of J

If you take the 7 and multiply by 3 you get the 21.

So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.

4:7   same as 12:21

4 0
3 years ago
Other questions:
  • Determine whether the lines l1 and l2 are parallel, skew, or intersecting. If they intersect, find the points of intersection
    8·1 answer
  • Sally goes out to lunch and has the option
    9·1 answer
  • Help with this question, please!!
    11·1 answer
  • Can someone give me the answer?
    12·1 answer
  • Help me !!!! Pleaseee!!
    9·2 answers
  • HELPPPPPPPPPPP PLSSSS FASTTTTTTT ASAPPPPPP WILL GIVE BRAINLIST
    12·1 answer
  • What is the percent of the cars were going above 80 mph!
    7·2 answers
  • Chaise's mom buys canned tuna for lunches. The cans are in the shape of a cylinder with the dimensions shown below.
    5·2 answers
  • Please explain how to do it because im very confused please and thank you!!!!!!!
    10·2 answers
  • A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!