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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
I am given 9 15 28 10 and 8 what is the mean absolute deviation for this data?
The mean deviation or absolute mean deviation is the sum of the differences between data values and the mean, divided by the count. In this case the MAD is 6.
Suppose three coins are tossed what is the probability of tossing more than one tail?
n(S)=8
let A be the event that more than one tail appears
n(A)=4
so,P(A)=4\8=0.5
Find the number of distinguishable permutations of letters in the word appliance?
The distinguishable permutations are the total permutations divided by the product of the factorial of the count of each letter. So:
9!/(2!*2!*1*1*1*1*1) = 362880/4 = 90,720
How many ways can 6 different books be stacked on a shelf?
First book can go in any of 6 places, second in any of the 5 remaining and so on until fifth book has 2 options.
There are therefore 6 x 5 x 4 x 3 x 2 ie 720 possible arrangements.
That's the same as the total probability (1) minus the probability of seven heads. So:
1 - (1/2)7 = 127/128
What is the probability of drawing a vowel from the word mathematics?
You have a total of 11 letters in "mathematics" and you have 4 vowels (a,e,a,i) so the probability of drawing a vowel is 4/11.
In other words if you were to consider the vowel's to be 1's and the consonants 2's. What is the probability of drawing a "1". There would be 4 1's and 7 2's. It would be 4/11
What are odds of probability of 9 over 11?
For 9 to 11 odds of winning;
Probability of winning:
0.55, or;
Chance of winning:
55%
ok I'm sure not many people will be asking this but a biased spinner is basically a spinner that is unfair or not accurate
The normal curve would represent the distribution of?
American women in terms of their physical heights.
No. The probability that a continuous random variable takes a specific value is always zero.
What kind of validity does the strategy of random sampling increase?
Random Sampling increases the reliability and validity of your research findings.
To begin with,
Reliability:
By randomly picking research participants, the likelihood that they are from different backgrounds/ have different experiences etc. is higher and hence, they are said to be more representative of the population of interest.
EG: RQ: Do females have higher IQ?
A case of random sampling will pick females who are housewives/ CEOs/ Indian/ 18yrs old/ Divorced etc. the list goes on.
While a case of non-random sampling (such as picking participants at a bus stop) may only result in a sample of females who are 20 - 35 years old, working professionals.
Validity: As reliability and validity are related, for the research findings to be reliable and generalizable to the population of interest, it first has to be a valid sample.
Hence, from the above example,
EG1 provides a valid sample, while EG2 is invalid.
What difference between Statistical Sampling and non-statistical sampling?
Statistical sampling is an objective approach using probability to make an inference about the population. The method will determine the sample size and the selection criteria of the sample. The reliability or confidence level of this type of sampling relates to the number of times per 100 the sample will represent the larger population. Non-statistical sampling relies on judgment to determine the sampling method,the sample size,and the selection items in the sample.
-3/12
If you throw a coin 6 times how many possible outcomes are there?
Whenever you are trying to figure out the answer to an outcome problem, you just multiply how many sides it has by how many times you are tossing the coin.... 2 x 6 = 12 times.
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Very reasonable. Warm, fuzzy, and intuitively satisfying. But, sadly, wrong.
Every toss of a coin has 2 possible outcomes.
If you write down the results of 6 tosses like: H T T H T H with an 'H' for each heads
and a 'T' for each tails, the number of different patterns you could write down for
six tosses is
2 x 2 x 2 x 2 x 2 x 2 = 64 .
If you don't care about the sequence, and you just want to know how many
different splits of 'heads' vs 'tails' you could get in 6 tosses, then there are seven
different possible outcomes:
-- no heads, 6 tails
-- 1 heads, 5 tails
-- 2 heads, 4 tails
-- 3 heads, 3 tails
-- 4 heads, 2 tails
-- 5 heads, 1 tails
-- 6 heads, no tails
What is the probability of rolling a sum of 10 when you roll two dice?
Each cube can land in 6 different ways.
Two cubes can land in (6 x 6) = 36 different ways.
There are 3 different ways of rolling a ten:
4 - 6
5 - 5
6 - 4
The probability of rolling a ten is (3 / 36) = 1/12 = 8 and 1/3 percent
about 25
In which discrete distributions does the probability of a success vary from one trial to the next?
In situations like this it's more common to model the systems as what are called stochastic processes, in this case probably Markov chains.
What is the probability of rolling a 4 with 2 dice?
Each cube can come up in 6 different ways.
Total possible outcomes for 2 cubes is (6 x 6) = 36 .
There are 5 ways to roll a sum of three:
1, 3
3, 1
2, 2
The probability of success is (3/36) = 1 in 6 chance
