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
Aneli [31]
3 years ago
8

Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compar

e the probability of 4 heads in 4 tosses and 4 tails in 4 tosses. (b) Determine the probability of H T H T in 4 tosses. (c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer:

a) 0.0256 = 2.56% probability of 4 heads.

0.1296 = 12.96% probability of 4 tails.

b) The probability is 0.0576 = 5.76%.

c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses

Step-by-step explanation:

For each throw, we have these following probabilities:

0.4 = 40% probability of heads.

0.6 = 60% probability of tails.

(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.

4 heads:

4 throws, each with 0.4 probability of heads. So

(0.4)^4 = 0.0256

0.0256 = 2.56% probability of 4 heads.

4 tails:

4 throws, each with 0.6 probability of tails. So

(0.6)^4 = 0.1296

0.1296 = 12.96% probability of 4 tails.

(b) Determine the probability of H T H T in 4 tosses.

H = 0.4, T = 0.6. So

p = 0.4*0.6*0.4*0.6 = 0.0576

The probability is 0.0576 = 5.76%.

(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)

Number of outcomes:

The possible outcomes are:

H - H - T - T

H - T - H - T

H - T - T - H

T - H - H - T

T - H - T - H

T - T - H - H

6 outcomes given 2 heads in 4 tosses.

Each with probability 0.0576, as found in b)

6*0.0576 = 0.3456

0.3456 = 34.56% probability of 2 heads in 4 tosses

You might be interested in
HELP PLEASE NO RANDOM ANSWERS
tensa zangetsu [6.8K]

Answer:

1. Answer is 162 2. Answer is 159.2

Step-by-step explanation:

In the first one we calculate both triangles by using and multiply it by 2 since we have 2 triangles

then we calculate the rectangle

and then we put them all together and get the answer which is 162.

in the second one we calculate the trapezoid then rhombus, then we put them together and get our answer which is 159.2

4 0
3 years ago
a researcher is interested to see if having a college degree results in higher incomes. she knows the average income for the gen
bezimeni [28]

If earning more money from a college degree occurs, a researcher is interested in finding out. She is aware that the average annual household income in thousands is  μ<=80.

The null hypothesis is a claim made about the population parameter in relation to the test's goal and in opposition to the alternative hypothesis.

  • The term "null hypothesis" refers to a researcher's attempt to reject or "nullify" a commonly held assumption (such as that the sky is blue). A null hypothesis is "a statistical theory suggesting that no statistical relationship exists between given observed variables," according to a more formal definition.                                                 
  • It always contains = , ≤ , ≥ signs.
  • The results will be examined using a one-tailed hypothesis test.

       Hence, μ<=80

To learn more null hypothesis visit : brainly.com/question/19263925

#SPJ4

7 0
2 years ago
Need answer ASAP is an assessment!!!!
worty [1.4K]

Answer:

76%, \frac{19}{25}, and Likely

Step-by-step explanation:

The problem tells us that P(red) = 0.76

0.76 as a percentage is represented as 76 out of a 100 or 76%

0.76 as a fraction is \frac{76}{100} which can be simplified to \frac{19}{25} by dividing the numerator and denominator by 4

The probability could be considered "Likely" as it is above 50%

7 0
3 years ago
Suppose the students who scored 85 and 90 on the math test take the test again and score 95 how manu stars would you have to add
Akimi4 [234]
In this question, each star equal to 4 students. If the people on 85 and 90 take the test again that means their number should be 14+4 people= 18 people. 
If they all get 95, then it means we need to add 18 people to the 95 graph. The number of stars would be: 18 people / (4people/stars)= 4.5 stars

If you add the stars graph it will be easier. It should be clear that 85 will have 1 stars and 90 have 3.5 stars. Adding them up will be 1 stars + 3.5 stars= 4.5 stars
8 0
3 years ago
Does anyone know how to unit rate?
Westkost [7]

Answer:17.91 calories per minute

Step-by-step explanation:

412 calories burned

23 minutes of riding

412/23 = 17.91 calories per minute

3 0
3 years ago
Read 2 more answers
Other questions:
  • I really need help on # 25 plz explain
    12·2 answers
  • A gardener measures the tallest of his prize -winning sunflowers and finds the height is 65 in. the sunflower has grown 12.1 inc
    13·1 answer
  • the coordinates of the vertices of a rectangle are ( -2, 3) , (4, 3 ) , ( 4, -4), and ( -2, -4 ). what are the dimensions of the
    12·1 answer
  • Margaret bought 1,575 grams of rice. how many kg of rice is that?
    15·2 answers
  • What is the solution set of x^2+y^2=26 and x-y=6?
    11·1 answer
  • Anyone good with fractions?? All I need is someone to explain how to get the answer to this problem. I can't figure it out.
    9·1 answer
  • 6x - 8 = 6x + 4 step by step
    11·2 answers
  • Grocery store selects the winner, or winners, of a $25 and $50 gift card by first randomly selecting a single entry from all ent
    12·2 answers
  • The difference of a number and 4 is 9<br>​
    15·1 answer
  • With the definition of the derivative, determine the formula logx!​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!