Probability

There are 4*4*3*2*1 = 96 such numbers.

If the question is asking if a continuous distribution can be converted to a discrete distribution, the answer is yes.

Your age has a continuous distribution but in most cases, the information is recorded and analysed as if it were the whole number of years - a discrete distribution.

Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.

6 x 5 x 4 x 3 x 2/2 = 360 distinct ways

1/3

The standard deviation is the standard deviation! Its calculation requires no assumption.

The normal distribution is a statistical distribution.

Many naturally occurring variables follow the normal distribution: examples are peoples' height, weights.

The sum of independent, identically distributed variables - whatever their own underlying distribution - will tend towards the normal distribution as the number in the sum increases. This means that the mean of repeated measures of ANY variable will approach the normal distribution.

Furthermore, some distributions that are not normal to start with, can be converted to normality through simple transformations of the variable.

These characteristics make the normal distribution very important in statistics. See attached link for more.

The sample space has 36 elements (the total number of outcomes by rolling the two dice).

There are 6 double outcomes: (1,1), (2,2), (3,3), (4,4), (5,5) and (6,6).

There are 5 outcomes whose sum is 6: (1,5), (5,1), (2,4), (4, 2), and (3,3).

The probability of rolling doubles OR the sum of 6 is 6/36 + 5/36 = 11/36.

It is a measure of the spread of the data around its mean value.

Z = (x minus mu) divided by sigma.

Probability is a number that describes how likely it is that an event will occur.

The hybrid is the offspring so the probability is 1.

The answer will be an incredibly huge number. There are a different number of windows, each window can refer to a different application, they can be of different sizes, they can be located at different positions.

The probability is 26/36 or 13/18

12..... h+1, h+2, h+3, h+4, h+5, h+6, t+1, t+2, t+3, t+4, t+5, t+6,

The probability is 6/36 = 1/6

If you draw more than 24 cards from a standard pack, without replacement, the probability is 1. That is, it is a certainty.

The probability of the outcome for a single, randomly drawn card from a standard pack, is 7/13.

The probability of choosing a blue marble is 5 in 15 or 1 in 3. The probability of then choosing a green marble is 5 in 14. (One is missing) Multiply the two probabilities and you get 5 in 42.(P = 0.1190... about 12%).

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There are 1584 hands possible with 2 Kings, 2 Jacks and 1 other card which is not a King or a Jack.

The answer depends on the underlying distribution. For example, if you have a random variable X, with a symmetric distribution with mean = 20 and sd = 1, then

prob(X > 1) = 1, to at least 10 decimal places.

Two possible outcomes for each flip.

2,048 possible histories of 11 flips.

240

The answer depends on what the "event" is. And since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.