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
umka21 [38]
3 years ago
15

Suppose we have an unfair coin that its head is twice as likely to occur as its tail. a)If the coin is flipped 3 times, what is

the probability of getting exactly 1 head? Give your answer to four decimal places b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails? Give your answer to four decimal places c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails? Give your answer to four decimal places
Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer: a) 0.2222, b) 0.3292, c) 0.1111

Step-by-step explanation:

Since we have given that

Let the probability of getting head be p.

Since,  its head is twice as likely to occur as its tail.

p+\dfrac{p}{2}=1\\\\\dfrac{3p}{2}=1\\\\p=\dfrac{2}{3}

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?

So, here, n  = 3

p=\dfrac{2}{3}

q=\dfrac{1}{3}

Now,

P(X=1)=^3C_1(\dfrac{2}{3})^1(\dfrac{1}{3})^2=0.2222

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?

2 tails means 3 heads.

So, it becomes,

P(X=3)=^5C_3(\dfrac{2}{3})^3(\dfrac{1}{3})^2=0.3292

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

P(X\leq 1)=\sum _{x=0}^1^4C_x(\dfrac{2}{3}^x(\dfrac{1}{3})^{4-x}=0.1111

Hence, a) 0.2222, b) 0.3292, c) 0.1111

You might be interested in
Find the slope for the ordered pair: 5y=160+9x
dlinn [17]
This isn't an ordered pair, but the slope would be 9/5 or 1.8
7 0
3 years ago
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Ede4ka [16]

Answer:

x = 3

Step-by-step explanation:

both angles together equal 180

Set your formula as

180 = 5x + 165

180 - 165 = 5x

15 = 5x

15/5 = x

3 = x

4 0
2 years ago
Read 2 more answers
How many degress are in an angle that cuts 2/4 of a circle
saw5 [17]
B:180 degrees because a circle is 360 degrees and half of 360 is 180. I'm learning this too lol
4 0
3 years ago
Read 2 more answers
Once a large pink​ ribbon, the sign of the fight against breast​ cancer, was erected out of pink​ post-it notes on a billboard.
saul85 [17]

Answer:

Pretty sure the width would be 70

Step-by-step explanation:

3920ft divided by 56 = 70

3 0
2 years ago
Read 2 more answers
81 as a mixed number simplified
Olegator [25]
the answer is 8 1/10.
3 0
3 years ago
Other questions:
  • Stu is laying brick down to make a patio. He plans for the patio to be 12.5 feet by 18.3 feet. He orders enough brick for 247 sq
    9·2 answers
  • A jar contains 20 green, 23 orange, 20 red, and 15 brown marbles. A marble is drawn at random. What is the probability that the
    6·2 answers
  • A lawyer has an annual income of $142,500. The income tax she has to pay is 15%. What is the amount of income tax in dollars and
    5·1 answer
  • Jenny is solving the equation x^2-8x=9 by completing the square. What number should be added to both sides of the equation to co
    11·1 answer
  • What is the quotient of 24336 ÷ 48 ?
    14·2 answers
  • An angle measures 135 degrees through what fraction does the angle turn
    14·1 answer
  • PLEASE HELP
    13·2 answers
  • A concrete slab has the dimensions 4 yd by 2 yd by 1.2 yd. What is the volume of 40 of these concrete slabs
    9·1 answer
  • Find three different irrational numbers between 1/2 and 1/4
    12·2 answers
  • What mistake did this student make?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!