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3 years ago

Which of the following could be the probability distribution for a loaded number cube?

Mathematics

1 answer:

Ierofanga [76]3 years ago

7 0

<h3>Answer: Choice B</h3>

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

Explanation:

The requirements for a probability distribution are this

The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say $0 \le p \le 1$ where p is an individual probability.
The probabilities must sum to 1.

Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.

We can also rule out choice D since the probabilities sum to this

0.20+0.15+0.20+0.20+0.20+0.20 = 1.15

The sum is too large. The sum needs to be 1.00 or just 1.

So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.

For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.

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What is 18 divided by negative 3

sweet-ann [11.9K]

18 / -3 = -6

answer

<span>negative 6 is 18 divided by negative 3
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3 years ago

Read 2 more answers

Who is good at math??

EleoNora [17]

B = 26in, c = 40in
a^2 = 26^2 + 40^2
= 2276 (square root it)
a = 2root569 // 47.7in

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3 years ago

Find the probability that a point is chosen randomly inside the rectangle is in each given shape...

Arlecino [84]

By taking the quotients between the areas, we see that:

a) P = 0.275
b) P = 0.85

<h3>How to find the probabilities?</h3>

First we need to find the areas of the 3 shapes.

For the triangle, the area is:

T = 3*5/2 = 7.5

For the blue square, the area is:

S = 3*3 = 9

For the rectangle, the area is:

R = 10*6 = 60

Now, what is the probability that a random point lies on the triangle or in the square?

It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:

P= (7.5 + 9)/60 = 0.275

b) The area of the rectangle that is not the square is:

A = 60 - 9 = 51

Then the probability of not landing on the square is:

P' = 51/60 = 0.85

If you want to learn more about probability:

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6 0

2 years ago

Trey pays a $6 monthly fee plus 8. Cents per minute. Last month, Trey's long distance bill was $12.72. For how many minutes was

Anit [1.1K]

Hello!

Since Trey pays a flat monthly $6 fee, we can subtract that from the total bill:

$12.27 - $6 = $6.72

That leaves us with a total of $6.72 paid for minutes. We are told that Trey is charged 8 cents per minute of usage. Using the information above, we can create the following equation:

$0.08 x (minutes) = $6.72

Now divide $0.08 from both sides of the equation and simplify:

$\frac{0.08}{0.08}$ x (minutes) = $\frac{6.72}{0.08}$

minutes = 84

We have now proven that Trey was billed for 84 minutes.

I hope this helps!

5 0

3 years ago

9: Part A The diameter of a circle is 63 centimeters. Find its circumference. Use π=3.14. A 31.5 centimeters B 98.91 centime

BaLLatris [955]

Part A:
The circumference of the circle is 197.92.

Explanation:
The formula for circumference of a circle is C=2 πr. If you insert the numbers, it would be C=2 x 3.14 x 31.5. Hence, the answer is 197.92.

Part B:
The area is 3117.25 square cm.

Explanation:
The formula for area of a circle is A= πr ². Inserting the numbers, it is A=3.14 x 31.5 ². Therefore the answer is 3117.25 cm ².

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3 years ago