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
ELEN [110]
3 years ago
14

Let X denote a random variable which corresponds to the number of players in a team who get injured during a game. If we assume

that each player hasequal probability of being injured, which is 0.2 , and there are 10 of themparticipating in each game.
a. Is X a discrete or a continuous random variable?
b. What kind of distribution X follows?
c. Compute the probability that nobody or only one person will be injured in a game.
d. Write down the expression which gives the average value of X (also known as the expected value), what is the value of this expression?
e. Write down the expression that gives the variance of X (average squared distance from the mean ) what number is this expression equal to?
f. Assume that players can be ranked according to their performances and no two people are equally good. If two players get injured what is the probability of best player being one of them ? Note that all combinations of two people are equally likely to get injured.
Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

(a)

The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.

(b)

The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2

(c)

Probability that no one or one person will be injured = P(X = 0) + P(X = 1)

= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1

= 0.810 + 10 * 0.2 * 0.89

= 0.3758096

(d)

Average value of X = np

Average value of X = 10 * 0.2 = 2

(e)

Variance of X = np(1-p)

Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6

(f)

Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45

Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1

= 9! / ((9-1)! 1!)

= 9

Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured

= 9 / 45

= 0.2

You might be interested in
Helppppp plzzzzzz nowwww
fenix001 [56]
54.2 degrees

explanation:

180-125.8 = 54.2
3 0
2 years ago
List all number sets that apply to each number
Tresset [83]
What’s the numbers/ list ?
8 0
3 years ago
Complete Ratio table
Crank

Answer:

Step-by-step explanation:

8 2

16 4

24 6

32 8

40 10

???

4 0
3 years ago
Read 2 more answers
A student selecting 3 classes for Winter quarter there are 4 drawing and design courses 3 general education courses and 3 other
pychu [463]

Answer:

36 possible class schedules

Step-by-step explanation:

1st - 4 ways

2nd - 3 ways

3rd - 3 ways

4 x 3 x 3 = 36 possible class schedules

5 0
2 years ago
The length of a rectangle is 4 more than the width. The entire perimeter is 38".
Novosadov [1.4K]
L = 4 + w
perimeter = 38

38 = w + 4 + w
2w = 34
w = 17

L = 4 + 17
L = 21

i am a mathematics teacher. if anything to ask please pm me
4 0
3 years ago
Other questions:
  • Can anyone help me with this question
    6·2 answers
  • Whats a equivalent fraction to 12/40
    6·2 answers
  • Your cell phone company started a rewards club. For every three texts sent, you get 15
    11·1 answer
  • Would a patient be receiving more medication if his dosage is decreased by 50 milligrams or if it is decreased by 25 milligrams?
    11·1 answer
  • Please answer this question only if you know the answer!! 14 points and brainliest!
    12·1 answer
  • What is the solution to the equation -10.3+y=5.2
    6·1 answer
  • A good without any close substitutes is likely to have relatively _________ demand, because consumers cannot easily switch to a
    13·1 answer
  • P varies directly as q. When q=31.2,p=20.8. Find p when q=15.3.
    7·1 answer
  • Bailey makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her c
    7·1 answer
  • The sum of Thalia and her brother's age is 41. If Thalia is three years older than her brother, how many years old is Thalia?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!