Nolan runs a stable that boards 4 brown horses, 9 black horses, 3 brown and white horses, and 2 black and white horses. What is the experimental probability that the next horse that comes to board is brown?

Answers

Answer 1

Answer: I believe that it is 22.2%. There are 18 horses and 4 of them are brown, meaning that there is a 4/18 chance that the horse that comes to the board is brown. When you divide 4 from 18 you get 22.2, which would make the probability 22.2%.

Answer 2

Answer:

Answer:

Step-by-step explanation:

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A snack cart sells lemonade for $2 and hot dogs for &5. The vendor sold 86 items today for a total of $330. Which equation is true?

Answers

2x+5x=330. I'm pretty sure that's it but you didn't list any answer choices.

I agree as well with both these people if you had listed your options we would have probably a better chance of getting the answer right but I do belive that the equation is right

Which mistake did Columbus make in the expedition that led him to the Americas? A.
He miscalculated the size of the earth and thought he had reached Asia.

B.
He thought the language of the people he met was Chinese and didn't realize he was in the Americas.

C.
He did not bring enough supplies, so he had to stop in the Americas instead of going all the way to Asia.

D.
He did not realize how bad storms could be and got so far off course that he reached the Americas instead of Asia.

Answers

The real answer is either A. Or from what I've been taught, Columbus thought that he could sail around the world to reach to India and did NOT know there were other lands. And he landed in America and he thought it was India.

The mean equals the median.

a. Always
b. Sometimes
c. Never

Answers

The mean does not always equal the median.
The mean does not never equal the median.
But the mean does sometimes equal the median.

At 7 A.M the temperature was 4 .At 9A.M it was a degrees warmer. What was the temperature at 9 A.M

Answers

It was 5 degrees at 9 am

Answer:

5 I’m guessing

Step-by-step explanation:

If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.

A pharmaceutical company knows that approximately 5% of its birth-control pills have an ingredient that is below the minimum strength, thus rendering the pill ineffective. What is the probability that fewer than 10 in a sample of 200 pills will be ineffective

Answers

Answer:

The probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

∴ P(X<10)=0.4364

Step-by-step explanation:

Given that the total number of sample pills is 200

ie., n=200

To find the probability that fewer than 10 in a sample of 200 pills will be ineffective:

Let us assume it success if a pill is ineffective.

The probability of success in each trial is $p=5\%$

$p=5\%$

$p=(5)/(100)$

$=0.05$

∴ p=0.05

We know that the total probability is p+q=1

The probability of failure is q

q=1-p

q=1-0.05

∴ q=0.95

Let X be the random variable of the number of ineffective pills in a sample of 200 pills.

Hence X has Binomial distribution with parameter n=200 and p=0.05

The formula for Mean in Binomial distribution is

$\mu=np$

Substitute the values in the above formula we get

$\mu=200(0.05)$

∴ $\mu=10$

The formula for Standard deviation in Binomial distribution is

$\sigma=√(npq)$

Substitute the values in the above formula we get

$\sigma=√((200)(0.05)(0.95))$

$=√(9.5)$

$=3.082$

∴ $\sigma=3.082$

Now we have to find the probability that fewer than 10 in a sample of 200 pills will be ineffective.

That is to find the area to the left of x=9.5

The formula is $z=(x-\mu)/(\sigma)$

Substitute the values in the formula we get

$z=(9.5-10)/(3.082)$

$=(-0.5)/(3.082)$

$=-0.16$

∴ $z=-0.16$

Now P(X<10)=P(Z<-0.16)

=0.4364

∴ P(X<10)=0.4364

Therefore the probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

Final answer:

The probability that fewer than 10 out of 200 birth-control pills will be ineffective is approximately 0.817, or 81.7%.

Explanation:

Probability is a mathematical concept used to quantify the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). It plays a crucial role in statistics and decision-making, helping to predict outcomes, assess risk, and make informed choices. To find the probability that fewer than 10 in a sample of 200 birth-control pills will be ineffective, we can use the binomial probability formula:

P(X < 10) = Σ (n choose k) * p^k * (1-p)^(n-k), where:

n = sample size = 200,

k = number of ineffective pills,

p = probability of a pill being ineffective = 0.05.

Calculating this probability using the formula, we get:

P(X < 10) ≈ 0.817, or 81.7%.