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3 years ago

A six sided die has two sides numbered with a 1, three sides numbered with a 2, and one side that is blank (0).

Mathematics

1 answer:

BigorU [14]3 years ago

6 0

There is a difference between the expected value and the value you get when you actually try this experiment

The value you would get if you actually tried the experiment

You would expect to get 3/6 for the 2. This means that when you throw the die any number of times, you will get a 2 about 1/2 the time. If you throw the die 1500 times 750 of them should be a 2.

You would expect to get 2/6 for the 1. When you throw the die any number of times, you would expect to get a "1" 1 out of 3 times. If you throw the die 3000 times, 1000 of them should be a 1.

You would expect to get 1/6 for the blank. This means that for any number of throws 1 out of every 6 should come up blank. In other words, if you divided the number of throws by 6, you should get that many blanks.

The actual value is as above

The expected value in probability is

2 * 1/2 = 1

1 * 1/3 = 0.3333

0 * 1/6 = 0

The expected value = 1.33 just as you said.

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3 years ago

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8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

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Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

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According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

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3 years ago

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3 years ago

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WITCHER [35]

First, we must convert the total miles into kilometers. If there are 1.609 kilometers in one mile, then 26.219 miles equals 42.3 kilometers. We then divide by the total minutes (128) to get the speed in kilometers per minute which should be 0.32 or 0.3 kilometers per minute.

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3 years ago

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

ehidna [41]

Answer: 1) 0.10

2) 0.60

3) 0.20

4) 0.10

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

The total frequency is 20+120+40+20 = 200. This means they ran the experiment 200 times. The probability distribution is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):

$\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 200}&\underline{\text{Probability Distribution}}\\1&20&20\div200=&0.10\\2&120&120\div 200=&0.60\\3&40&40\div 200=&0.20\\4&20&20\div 200=&0.10\end{array}\right]$

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