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
likoan [24]
3 years ago
12

4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politic

ians, 40 are in Party I and 60 are in Party II. Members of Party I are incapable of changing their minds about anything. Members of Party II change their minds completely randomly every day, independently of all others and also independently of all evidence. Tomorrow, the politicians are going to vote on Proposition 88. Here is a summary of their opinions today. Of the 40 members in Party I, 25 are in favor of Prop 88 and 15 are against. Of the 60 members in Party II, 10 are in favor and 50 are against. Assume that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind. a) What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow
Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

Step-by-step explanation:

The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!

There are 60 politicians in Party 2. They change their minds completely-randomly every day.

Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.

Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.

What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?

The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.

<em>KEY: </em><em>Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).</em>

Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:

50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10

You might be interested in
**Round to the nearest tenth Level ll: John missed 14 points on an 80 point science test. What percentage did he get?​
Dennis_Churaev [7]

Answer:

82.5% = 66/80

6 0
3 years ago
Can you help me find the answer .Will mark brainliest
ahrayia [7]

Answer:

do R-P-R-S-P-P-R-P

Step-by-step explanation:

4 0
3 years ago
(10x+5y)(x-6y) in the simplest form
noname [10]

Answer:

10x^{2}-55xy-30y^{2}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what w
EleoNora [17]

Answer: 300,000

Step-by-step explanation:

6 0
2 years ago
Qt + a = -1 <br><br> when q = 3 and t = 4
Pachacha [2.7K]

Answer:

a=-13

Step-by-step explanation:

We can use substitution to find the value of a:

qt+a=-1

3(4)+a=-1

12+a=-1

a=-13

Hope this helps :)

5 0
2 years ago
Other questions:
  • About 60.7% of eligible voters voted in the election. What decimal is equivalent to 60.7%?
    7·1 answer
  • Which of these is the algebraic expression for 5 times the sum of 2 and y
    5·2 answers
  • The figure shows the front side of a purse in the shape of a trapezoid.
    9·2 answers
  • How do you write 74171.7 in scientific notation
    9·2 answers
  • What is the measure of <br> please show step by step instructions.
    8·2 answers
  • Nita needs at least $85 to buy a skateboard. She already has $61. Which graph best represents all the possible dollar amounts th
    8·2 answers
  • Solve for the roots in simplest form using the quadratic formula:<br> x^2+14x=-94
    5·1 answer
  • Which of following is the graph of y = -(x + 1)2 -3?
    5·2 answers
  • Find the mode of the data
    10·2 answers
  • 7² ft
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!