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
Murljashka [212]
2 years ago
12

Mathematics Simple events likelihood experimental probability

Mathematics
1 answer:
saw5 [17]2 years ago
3 0

Problem 1

Answer: Closer to 1

Explanation:

There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.

================================================

Problem 2

Answer: Closer to 0

Explanation:

The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50

================================================

Problem 3

Answer: Closer to 0

Explanation:

We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50

================================================

Problem 4

Answer: 48% chance; fairly likely

Explanation:

We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%

You might be interested in
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 vo
Georgia [21]

Answer:

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

p_v =P(z>2.530)=0.0057  

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

\hat p=0.54 estimated proportion of residents that favored the annexation

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.530)=0.0057  

7 0
3 years ago
pleas help I need help with these two! right answers only please asap! will give brainliest to person who explains !
ladessa [460]
For question 4: you have to do (y2 - y1) divided by (x2 - x1) to get the rise over run...

5-2
——. = 3/4
11 - 7


For question 5: input the values of x,y and the gradient into the equation of a line.....

y = mx+ c

-8 = 3(-2) + c

-8 = -6 + c

-2 = c

therefore:

y = 3x - 2

Hope this helps! Any questions let me know :)


7 0
2 years ago
Read 2 more answers
What is the value of a In the equation 5 a-10b=54, when b=3
irga5000 [103]
B= 3 -> 5a-30 = 54 -> 5a = 84 -> a = 16.8
4 0
3 years ago
Read 2 more answers
5. Mike weighs 200 pounds and plans to
Harrizon [31]

Answer:

20 weeks

Step-by-step explanation:

200-1.5x=180-.5x

20=1x

X=20

4 0
3 years ago
Jordan were successful in 10 out of 15 foul shots. What percent of shots was she successfull?(round your answer to the nearest t
Vesna [10]
First divide the numerator ( 10 ) by the denominator ( 15 ) to get around .666666667, now that is in decimal form, time convert to percentage multiply by 100 to get around 66.66666667 percent. Now round up to the nearest tenth to get 66.7 percent.
We rounded up since 6 in the hundredths place is greater than it equal to 5.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help with my homework please
    14·2 answers
  • Please help PLEASE HELP
    13·1 answer
  • How many vertices has a closed cone? a. 1 b. 2 c. 3 d. 4
    12·1 answer
  • 2.144 to the nearest decimal place
    9·1 answer
  • Is 23 and 25 co-primes
    8·1 answer
  • Who likes my profile picture will mark branlist
    11·2 answers
  • Only do number 19 vote you brainiest
    10·1 answer
  • 2.7 x (10^3) is equal to:
    15·2 answers
  • Criterion: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t test. Data: Use the inf
    9·1 answer
  • Helppp will give brainlest to whoever answers
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!