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
andriy [413]
2 years ago
7

You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a

nd 1212 tails; you observe more than 88 heads and more than 88 tails?
Mathematics
1 answer:
Nat2105 [25]2 years ago
7 0
The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

P(x)=\, ^nC_xp^x(1-p)^{n-x}

Part A:

The probability of observing 8 heads and 12 tails is given by:

P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}



Part B:

<span>You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of </span><span>observing more than 8 heads and more than 8 tails</span> is given by:

P(9)+P(10)+P(11) \\  \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\  \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}
You might be interested in
Write the letter below for each fraction in the correct box?​
xxTIMURxx [149]
In order from left to right:
D, C, A, B
7 0
2 years ago
Read 2 more answers
Plz help !! giving brainliest
ddd [48]

Answer:

its blurry for me.

Step-by-step explanation:

7 0
2 years ago
Write an addition problem that has the sum of 1- 3/5 and the two addends must have different signs
Galina-37 [17]
6 + (-4 2/5) = 1 3/5 <==
3 0
3 years ago
Alice's goal is to have $30 in her account. She starts with $24.60 from washing cars. She spends $8.25 at the movies. Then she e
bazaltina [42]
24.60 - 8.25 + 11.50 = 30

16.35 + 11.50 = 30

27.85 <span>≠ </span>30

Alicia does not have $30, she needs to earn 2.15 more dollars
3 0
3 years ago
Read 2 more answers
Which would not be a step in finding the area of a circle by cutting it
Mkey [24]

Answer:

D. Continue cutting smaller and smaller slices.

Step-by-step explanation:

While, in theory, this could be a step, it would be a pointless one. You would have to eventually rearrange the pieces, but now there would be more of them.

Hope this helps!

4 0
2 years ago
Other questions:
  • mark and don are planning to sell each of their marble collections at a garage sale. if don has 1 more than 5 times the number o
    15·1 answer
  • Pharmacy Technician Rolando received a prescription for 150 calcium carbonate tablets for the patient. Rolando used 1/3 of the s
    9·1 answer
  • Explain how you would create opposite terms for the x-variable in this system. 3x-6y=-8, -1/4x+4y=6
    5·2 answers
  • I need to know the equation for this table!
    15·1 answer
  • Hey plz anyone inbox me ​
    11·2 answers
  • I GIVEEEEE BRAINLILSTTTTT
    8·1 answer
  • For brainiest:):):):):):):)
    8·1 answer
  • NEED HELP ASAP
    7·1 answer
  • Simple 8th grade maths (check attachments below)<br> trollers will get reported
    14·1 answer
  • Please answer! will give 5 stars, brainliest (if two people answer.), 20 pts, and thanks.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!