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Probability
The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.
14,643 Questions
How many divisors of 4725 are there?
STOP - This seems to be a homework assignment.
I strongly suggest you try to do it first, so that you gain the value of the lesson.
The prime factors of 4725 are 3, 3, 3, 5, 5, and 7.
Combining these in all of their combinations, along with 1 which is always a divisor, the divisors of 4725 are ...
- 1 (1)
- 3 (3)
- 5 (5)
- 7 (7)
- 9 (3 3)
- 15 (3 5)
- 21 (3 7)
- 25 (5 5)
- 27 (3 3 3)
- 35 (5 7)
- 45 (3 3 5)
- 63 (3 3 7)
- 75 (3 5 5)
- 105 (3 5 7)
- 135 (3 3 3 5)
- 175 (5 5 7)
- 189 (3 3 3 7)
- 225 (3 3 5 5)
- 315 (3 3 5 7)
- 525 (3 5 5 7)
- 675 (3 3 3 5 5)
- 945 (3 3 3 5 7)
- 1575 (3 3 5 5 7)
- 4725 (3 3 3 5 5 7)
... so, there are 24.
When do you use the relative standard deviation instead of standard deviation?
Use %RSD when comparing the deviation for popolations with different means. Use SD to compare data with the same mean.
What does it means for two events to be independent?
If two events are independent of one another, then the outcome of one event does not depend on the outcome of the other event. Example is flipping of two coins. The second coin is not dependent on the outcome of the first flip. But if you want to know if the two coins are the same (either both heads or both tails), then that outcome is dependent on the first coin and the second coin.
What percentage of a normal distribution is within 2 standard deviations of the mean?
I believe the standard deviations are measured from the median, not the mean.
- 1 Standard Deviation is 34% each side of median, so that is 68% total.
- 2 Standard Deviations is 48% each side of median, so that is 96% total.
a) T or F The sampling distribution will be normal. Explain your answer.
b) Find the mean and standard deviation of the sampling distribution.
c) We pick one of our samples from the sampling distribution what is the probability that this sample has a mean that is greater than 109 ? Is this a usual or unusual event?
these are the rest of the question.
What is the probability of rolling a six on a number cube and then rolling another six?
Probability = favorable outcomes / total chances of outcome
To find probability of two events happening favorably in succession (like you wanting to roll two sixes in a row), you simply multiply the probably of rolling both sixes together.
Thus, (1/6) * (1/6) = 1/36
You have a 1 in 36 chance of rolling two sixes in a row
A fair coin is flipped 4 times what is the probability of getting more than 3 heads?
The probability of flipping a fair coin four times and getting four heads is 1 in 16, or 0.0625. That is simply the probability of one head (0.5) raised to the power of 4.
How many distinct arrangements can be made with the letters in the word BOXING?
The number of distinct arrangements of the letters of the word BOXING is the same as the number of permutations of 6 things taken 6 at a time. This is 6 factorial, which is 720. Since there are no duplicated letters in the word, there is no need to divide by any factor.
What Percent of data is below the mean in a normal distribution?
In the normal distribution, the mean and median coincide,
and 50% of the data are below the mean.
What are two characteristics of semen that enhance the probability of fertilization?
The first is the concentration of sperm cells in semen - the higher the concentration better the possibility of conception. The second is the percentage of normal sperm cells - the lesser the number of abnormal sperm cells, the better the possibility of conception.
What is the expected shape of the distribution of the sample mean?
The distribution of the sample mean is bell-shaped or is a normal distribution.
What is the complement of four heads in the toss of four coins?
The complement is "Not four heads", that is, at least one tails.
How do you find the probability between two values given the population mean and standard deviation?
The answer depends on the distribution of the random variable. For some variables it is easy to calculate the cumulative distribution, F(x).
Then, the probability between the values p and q is F(q) - F(p). WARNING: This might need minor modification if the the distribution is discrete.
The normal distribution is one which, in general, cannot be evaluated analytically. However, you can convert p and q to the x=corresponding z-score. If m is the mean and s the standard deviations, then z1 = (p - m)/s and z2 = (q - m)/s. The cumulative probability function for Z is tabulated (widely available online) and the probability between p and q is F(z2) - F(z1).
Note, however, that sometimes the tabulated values are (Prob - 0.5), or are 1 - Prob(z) so read notes to the table.
What is the probability landing on a 3?
land on a 3? as in a dice? well if so then it is 1/6 chance because there are 6 numbers on a dice and 3 is one of them so 1/6
How many possible outcomes exist when rolling a number cube that has sides that say 3 5 and 6?
Three: they are 3, 5 and 6.
Oh, dude, math time! So, like, to find 25 percent of 132, you just multiply 132 by 0.25. That gives you 33. But like, who even needs to know that? Just use a calculator or something, man.
What is the probability of picking a black jack from a poker deck on a single draw?
2 in 52, or 1 in 26, or about 0.03846.
Is it possible to doubt everything or almost everything?
It's often less difficult and requires less effort to doubt rather than to believe.
It requires less thinking, rationalization, and research to doubt a subject than it
would to do the necessary steps to bring one to raw belief.
In order to doubt, only a few factors must be considered. However, in order to reach pure belief, many factors, theorems, and proofs must be presented.
And, still, if one is leaning toward non-belief, it is difficult to separate the
salient points that led you not to believe against the other side of the debate that would instill in you a true belief.
How many ways can the letters in the word Wisconsin be arranged?
There are 9!/(2!*2!*2!) = 45360 ways.
What does it mean if you have the same birthday as someone else?
It simply means that you were born on the same day of the year.
From a probabilistic standpoint, assuming a uniform distribution, you have a 1 in 365.25 chance of matching a specific someone else's birthday.
With nearly 7 billion people on this planet, there are probably about 19 million people with each of the possible birthdays living.
Which is the fraction of numbers that are even on a number cube labeled 1 to 6?
50%, 1/2 or 3/6. 1, 3 and 5 are odd, and 2, 4 and 6 are even.
