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The Poisson distribution is a discrete distribution, with random variable k, related to the number events. The discrete probability function (probability mass function) is given as: f(k; L) where L (lambda) is the mean and square root of lambda is the standard deviation, as given in the link below: http://en.wikipedia.org/wiki/Poisson_distribution
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What are the median and mode of a normal distribution if the mean is 22 and the standard deviation is 4?
The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.
Can The standard deviation of a distribution be a negative value?
No. The standard deviation is not exactly a value but rather how far a score deviates from the mean.
A normal distribution can have any mean and any positive standard deviation?
Yes.
How do you calculate probability given mean and standard deviation?
The mean and standard deviation do not, by themselves, provide enough information to calculate probability. You also need to know the distribution of the variable in question.
What is the number of trials in a binomial distribution that has a mean of 8 and a standard deviation of 2?
There are 16 trials.
Are the mean and standard deviation equal in a poisson distribution?
The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.
What is the distribution of x with a mean of 21 days and a standard deviation of 8 days?
The distribution of x can be almost anything - apart from the Poisson distribution.
A standard normal distribution has a mean of and standard deviation of?
Mean 0, standard deviation 1.
What is a frequency distribution defined by its average and standard deviation?
The triangular, uniform, binomial, Poisson, geometric, exponential and Gaussian distributions are some that can be so defined. In fact, the Poisson and exponential need only the mean.
What does standard deviation describes?
Standard deviation describes the spread of a distribution around its mean.
What is the standard deviation of the mean of 9.65?
It depends on what the distribution is. In a Normal or Gaussian distribution, the standard deviation is the square root of the mean, so it could be 3.1 but, again, it depends on the distribution.
How does standard normal distribution differ from normal distribution?
The standard normal distribution has a mean of 0 and a standard deviation of 1.
The mode and standard deviation of a distribution are 55 and 4.33 respectively?
The statement is probably: The mean and standard deviation of a distribution are 55 and 4.33 respectively.
Why is the mean the standard partner of the standard deviation?
The mean and standard deviation often go together because they both describe different but complementary things about a distribution of data. The mean can tell you where the center of the distribution is and the standard deviation can tell you how much the data is spread around the mean.
Is the standard normal distribution has a mean of 1 and standard deviation of 0?
No.
What is the distribution with a mean of 0 and a standard deviation of 1?
It is any standardised distribution.
Is the normal distribution always being defined by the mean and standard deviation?
Yes, the normal distribution is uniquely defined by its mean and standard deviation. The mean determines the center of the distribution, while the standard deviation indicates the spread or dispersion of the data. Together, these two parameters specify the shape and location of the normal distribution curve.
