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
Write an expression in expanded form that is equivalent to 3(7d + 4e)
Vladimir79 [104]
21d+12e
answer mine pleadw
8 0
3 years ago
Read 2 more answers
The amount Kenyon earns on the sale of a car can be represented by the equation E (p) = 250 +0.02p where E(p) represents the tot
kap26 [50]

Answer:

1) His total commission is $1,234.3

2) The purchase of the car is $24,790.

Step-by-step explanation:

1) 21640*0.02= 432.8+ 250= 682.8

15075*0.02= 301.5+ 250= 551.5

682.8+ 551.5= 1,234.3

2) 745.8- 250= 495.8/ 0.02= 24,790

5 0
2 years ago
Read 2 more answers
(SCIENCE) Hello I need help ASAP this was due YESTERDAY but I can still submit it with your help. it will be open for 3 more day
jarptica [38.1K]

Answer:

The winter solstice is the day of the year with the least amout of daylight hours.

4 0
2 years ago
4. Write an equation that represents the line graphed below.<br> CCP
AlekseyPX
Represents the line graphed
7 0
2 years ago
Read 2 more answers
18. Given PQ | BR. Then find the measure of x​
maria [59]

<em>Answer:</em>

<em>∠x = 70°</em>

<em>Step-by-step explanation:</em>

<em>Given that PQ||BR</em>

<em>Line PQ and BR with transversal AC,</em>

<em>∠x + ∠ACR = 180°     {Co-interior angles}</em>

<em>⇒∠x + 110° = 180°       {From what I can see it looks like 110.}</em>

<em>⇒∠x = 180° - 110°</em>

<em>⇒</em><em>∠x = 70°</em>

7 0
2 years ago
Other questions:
  • Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent fun
    7·2 answers
  • A cabin has room for 7 campers and 2 conselors. How many cabins are needed for a total of 49 campers and 14 counselors?
    9·2 answers
  • Jay and Blair went fishing together they caught 27 fish. Jay caught 2 times as many fish as Blair. How many fish did Jay and Bla
    5·1 answer
  • Work out the percentage change to 2 decimal places when a price of £70 is increased to £99
    7·1 answer
  • X^2+(5/4)x+? <br> What must be added to make a perfect square binomial
    10·1 answer
  • A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km
    12·1 answer
  • Lori buys a $400 certificate deposit that earns 1.8% interest compounded monthly how much will a cd be worth in six years
    9·1 answer
  • 8x + 4 = 3 (x-1) + 7'
    12·1 answer
  • An oven is set at 176.8°C. Marla increases the temperature by 23.8°C.
    8·1 answer
  • The ratio of boys to girls that went to great American on the 8th grade trip was 3 to 5 period if there were 320 students that w
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!