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
s2008m [1.1K]
3 years ago
11

Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by takin

g the maximum of the spots showing on either of the two dice thrown. For example, if a 3 and a 5 were thrown, then X would take the value of Maximum(3,5) = 5. The range of values that X can assume are the positive integers {1,2,3,4,5,6}. Please give the corresponding probabilities for the values of X given below. Pr(X = 1) = Pr(X = 2) = Pr(X = 3) = Pr(X = 4) = Pr(X = 5) = Pr(X = 6) = Further, find the probability that X is divisible by 4. Probability that X is divisible by 4 equals ___
Mathematics
1 answer:
Nastasia [14]3 years ago
5 0

Answer:

Pr(X=1) = 1/36

Pr(X=2) = 3/36

Pr(X=3) = 5/36

Pr(X=4) = 7/36

Pr(X=5) = 9/36

Pr(X=6) = 11/36

Pr(X is divisible by 4) = 7/36

Step-by-step explanation:

Two fair die are thrown and X = maximum of the two die.

Pr(X=1) means 1 is the maximum number of the two numbers showing on the dice. This can only happen when both dice are showing 1. So,

Pr(X=1) = (1,1)

          = (1/6)*(1/6)

Pr(X=1) = 1/36

Pr(X=2) = (1,2) + (2,1) + (2,2)

            = (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6)

Pr(X=2) = 3/36

Pr(X=3) = (1,3) + (2,3) + (3,1) + (3,2) + (3,3)

            = (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6)

Pr(X=3) = 5/36

Pr(X=4) = (1,4) + (2,4) + (3,4) + (4,1) + (4,2) + (4,3) + (4,4)

            = (1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)

Pr(X=4) = 7/36

Pr(X=5) = (1,5) + (2,5) + (3,5) + (4,5) + (5,1) + (5,2) + (5,3) + (5,4) + (5,5)

            = 9 *(1/6)*(1/6)

Pr(X=5) = 9/36

Pr(X=6) = (1,6) + (2,6) + (3,6) + (4,6) + (5,6) + (6,1) + (6,2) + (6,3) + (6,4) + (6,5) + (6,6)

            = 11 * (1/6)*(1/6)

Pr(X=6) = 11/36

X is divisible by 4 only when X=4. Other values of X are not divisible by 4. So,

Pr(X is divisible by 4) = Pr(X=4)

Pr(X is divisible by 4) = 7/36

You might be interested in
Cody is designing a pattern for a wood floor the length of the pieces of wood are 1 1/2 inches 1 13/16 inches and 2 1/8 inches w
erastovalidia [21]

Well, you only listed three pieces so far.  But I can already see a
pattern emerging from those three.

Of course, the next piece might return to 1-1/2 inches.  I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long. 
It must eventually return to 1-1/2 inches and start over from there.

From the first piece to the second one, and from the second one
to the third one, the increase is  5/16 inch both times.  So if the
pattern is more than three pieces long before it starts over from
1-1/2, then the next piece is

             (2-1/8 + 5/16) = (2-2/16 + 5/16)  =  2-7/16 inches .
8 0
3 years ago
Sven has 11 more than twice as many customers as when he started selling newspapers. He now has 73 customers. How many did he ha
Amiraneli [1.4K]
73-11 = 62

62/2= 31

He started with 31 costumers
3 0
2 years ago
Read 2 more answers
Look at this function:
Rom4ik [11]
X values are increasing by 2
y values are increasing by 4
Mark is correct
5 0
3 years ago
Read 2 more answers
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in
Gre4nikov [31]

Answer:

33cm

Step-by-step explanation:

385 / 35 = 11

11 times 3 = 33

7 0
2 years ago
The area of a rectangle is 36x – 24 square units. The length is 12. Find the width.
lutik1710 [3]

Answer:

36x - 24 / 12 = 3x-2 I think

8 0
2 years ago
Other questions:
  • 4 times 1 3/5 , write answers as a mixed number
    15·1 answer
  • Which of the following statements is false?
    7·1 answer
  • Item 9 A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the angle of elevation fr
    5·1 answer
  • Conditional statements are always written in if-then form.
    8·2 answers
  • Find the general solution of yʹ − 3y = 8e3t + 4sin t .
    15·2 answers
  • The average fine for entering a national Forest wilderness without a permit increased from $65 to $78. What rate of increase is
    10·2 answers
  • Whoever answers my recent question I will give away 50 points​
    9·1 answer
  • Determine whether the figure is a parallelogram.
    11·1 answer
  • Pleae help me i will mark you brainliestttttttttt
    9·1 answer
  • Your teacher gave you 4/5 of a bag of candy, but she only gave your friend 2/3 of a bag.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!