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oksian1 [2.3K]
2 years ago
7

Use the bar graph to find the experimental probability of the event

Mathematics
1 answer:
Alexeev081 [22]2 years ago
5 0
First add up the number of times spun. We get 50 spins now add up the number of spins that we didn't get 1. For that we get 42 now divide 42/50= 21/25. So for every 25 spins 21 of them will probably be something other than 1. Your answer is 21/25
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According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College
sineoko [7]

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

5 0
3 years ago
How do do the work for 12c+6c=36
BlackZzzverrR [31]
Apologies for the bad handwriting.

5 0
3 years ago
Read 2 more answers
Which of these places rounds 43,754 to the lowest number?
scoundrel [369]
The tens is the lowest
8 0
3 years ago
What is the value of the expression below when w =9 and x=2<br><br> w – 4x
Vera_Pavlovna [14]

Answer:

1

Step-by-step explanation:

9 - 4 x 2

4 x 2 = 8

9 - 8 = 1

8 0
3 years ago
Read 2 more answers
A collection of 108 coins containing only quarters and nickels is worth $21.
Rudiy27

Answer:

The value could replace q is 108 - n ⇒ the last answer

Step-by-step explanation:

* Lets study the values of quarters and nickles

- One quarter = 25 cents

- One nickle = 5 cents

- The number of coins is 108

- The coins are nickles or quarters only

- The coins worth $ 21

* Lets solve the problem

∵ The number of coins is 108 coins

- Let the quarter is q and the nickel is n

∴ q + n = 108 ⇒ (1)

∵ The coins worth $21

∵ $ 1 = 100 cents

∴ $21 = 21 × 100 = 2100 cents

∵ The quarter = 25 cents

∵ The nickels = 5 cents

∴ 25q + 5n = 2100 ⇒ (2)

- To find the value which replace q use equation (1)

∵ q + n = 108 ⇒ subtract n from both sides

∴ q = 108 - n

* The value could replace q is 108 - n

3 0
3 years ago
Read 2 more answers
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