# What is the signifance of the mean of a probability distribution?

It is the average of all the numbers in the distribution. If you chose a random data point of the distribution, there would be a 50% chance that it is above the mean, and a 50% chance that it is below the mean.

### How does the standard normal distribution differ from the t-distribution?

The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.

### What is the difference between the normal distribution and Poisson distribution?

The normal distribution is a continuous probability distribution that describes the distribution of real-valued random variables that are distributed around some mean value. The Poisson distribution is a discrete probability distribution that describes the distribution of the number of events that occur within repeated fixed time intervals, where the mean frequency is a known value, and each interval is independent of the prior interval(s)/event(s).

### What would -2 standard deviation below the mean be?

It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations. It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations. It would mean that the result was…

### Is the uniform probability distribution is symmetric about the mode?

Yes, the uniform probability distribution is symmetric about the mode. Draw the sketch of the uniform probability distribution. If we say that the distribution is uniform, then we obtain the same constant for the continuous variable. * * * * * The uniform probability distribution is one in which the probability is the same throughout its domain, as stated above. By definition, then, there can be no value (or sub-domain) for which the probability is…

### Is binomial probability distribution always negatively skewed?

No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed. No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed. No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed. No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.