Probability

In a standard deck, there are 13 spades and 4 kings and 1 king of spades.

There is not enough information to answer your question. To determine a Z-Score, the mean and standard deviation are also required.

4

If the marbles are all red - 100%. You need to give the number of each different colored marble

P(Winning) = 50/700 = 0.0714... ≈ 7.14 %

It is not! It is one measure of probability.

There are 360.

Because of the Law of Large Numbers. According to that law, the observations tends towards the mean. This increases the concentration of observations nears the mean thereby reducing the variance or standard error.

It is 0.6

Random sampling is picking a subject at random. Systematic sampling is using a pattern to pick subjects, I.e. picking every third person.

The mean is "pushed" in the direction of the outlier. The standard deviation increases.

Dear All,

Before 2010 ( IS 2062 GR.B) is unassigned material,now it is revised P No.1 & G . NO. 1 as per ASME SEC IX 2011........

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M/s. Toyo Engineering India Ltd.

number of queen card = 4

number of cards in a deck of cards = 52

Probability of getting a queen card = 4/52 or 1/13

Let x be the aleatory variable representing the number of heads appearing when

tossing a fair coin 5 times.

Using the 'Binomial Distribution': P(x) = 5Cx (1/2)5 , where 5Cx = 5!/[x!(5-x)!]

Then:

P(x=0) = (1/2)5 = 1/32

P(x=1) = 5(1/2)5 = 5/32

P(x=2) = 10(1/2)5 = 10/32

P(x=3) = 10(1/2)5 = 10/32

P(x=4) = 5(1/2)5 = 5/32

P(x=5) = (1/2)5 = 1/32

So the most likely combination of heads-tails to come out are; (3H,2T) and (2H,3T), with a probability of 10/32 (=5/16=0.3125=31.25%) either one.

For any one of these outcomes there are 10 different sequences, each of which has

a probability of happening of 1/32.

If one observes the list of results, it can be inferred that any head-tails sequence

that can be thought of in 5 tosses has the probability of turning out of 1/32.

The population mean is the mean calculated over every member of the set of subjects being studied. It is usually not available and a survey is used to find an estimate for the population mean. The mean value of the variable in question, calculated from only the subjects included in the sample (or survey) is the sample mean. Provided some basic statistical requirements are met, the sample mean is a "good" estimate of the population mean.

The answer will depend on what p5 is!

The 'standard deviation' in statistics or probability is a measure of how spread out the numbers are. It mathematical terms, it is the square root of the mean of the squared deviations of all the numbers in the data set from the mean of that set.

It is approximately equal to the average deviation from the mean.

If you have a set of values with low standard deviation, it means that in general, most of the values are close to the mean. A high standard deviation means that the values in general, differ a lot from the mean.

The variance is the standard deviation squared. That is to say, the standard deviation is the square root of the variance. To calculate the variance, we simply take each number in the set and subtract it from the mean. Next square that value and do the same for each number in the set. Lastly, take the mean of all the squares. The mean of the squared deviation from the mean is the variance. The square root of the variance is the standard deviation.

If you take the following data series for example, the mean for all of them is '3'.

3, 3, 3, 3, 3, 3 all the values are 3, they're the same as the mean. The standard deviation is zero. This is because the difference from the mean is zero in each case, and after squaring and then taking the mean, the variance is zero. Last, the square root of zero is zero so the standard deviation is zero. Of note is that since you are squaring the deviations from the mean, the variance and hence the standard deviation can never be negative.

1, 3, 3, 3, 3, 5 - most of the values are the same as the mean. This has a low standard deviation. In this case, the standard deviation is very small since most of the difference from the mean are small.

1, 1, 1, 5, 5, 5 - all the values are two higher or two lower than the mean. This series has the highest standard deviation.

LOLLIPOP = 8 letters

L=3

O=2

I=1

P=2

number of permutations = 8!/3!2!2!

= 8x7x6x5x4x3x2 / 3x2x2x2

= 40320 /24

= 1680

If the faces on the 12 sided die are numbered from 1 to 12, then 1/12.

The probability of getting zero tails is 1/2. The probability of getting zero tails twice in a row is 1/2 x 1/2 = 1/4. The probability of getting zero tails three times in a row is 1/2 x 1/2 x 1/2 = 1/8, etc... .

The probability is 1/4

0.5

acrobat