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The distribution depends on what the variable is.
If the key outcome is the number on the top of the die, the distribution in multinomial (6-valued), not binomial.
If the key outcome is the number of primes, composite or neither, the distribution is trinomial.
If the key outcome is the number of sixes, the distribution is binomial with unequal probabilities of success and failure.
If the key outcome is odd or even the distribution is binomial with equal probabilities for the two outcomes.
Thus, depending on the outcome of interest the distribution may or may not be binomial and, even when it is binomial, it can have different parameters and therefore different shapes.
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What is the probability of rolling a number greater than or equal to 3?
The answer depends on what you are rolling: a number cube or some other shape? For a die, the answer is 2/3.
Define a normal random variable?
I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.
What is the probability of rolling a number cube a number less than 5 and spin a number greater than 5?
There is insufficient information on the shape of the spinner.
How many rolls to have a 50 percent probability to get each number at least once d6?
Depends on what you are rolling - a cubic die or a more exotic shape.
What is the probability of rolling a number less than 3 and then rollong a prime number?
The question depends on what the numbers are being rolled on: a hexahedron or some other shape.
A binomial probability distribution with 5 as the probability of a success will have a distribution with a shape best described by?
Nothing since it is impossible. No event can have 5 as the probability of success.
What is difference between skew binomial and symmetric binomial distribution?
In a symmetric binomial distribution, the probabilities of success and failure are equal, resulting in a symmetric shape of the distribution. In a skewed binomial distribution, the probabilities of success and failure are not equal, leading to an asymmetric shape where the distribution is stretched towards one side.
The shape of any uniform probability distribution is?
Rectangular
What shape would the probability distribution have for completely uncertain returns?
the variance is infinitely large and in the extreme case the probability distribution curve will simply be a horizontal line
What is the shape of this distribution?
A company is studying the number of daily debit card purchases. If there were 20 purchases and the probability of a debit card purchase is 0.5 What is the shape of this distribution
What is the shape of the distribution of the mean of a sample?
The mean of a sample is a single value and so its distribution is a single value with probability 1.
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
The normal distribution, also known as the Gaussian distribution, has a familiar "bell curve" shape and approximates many different naturally occurring distributions over real numbers.
What is the probability of rolling a number greater than or equal to 3?
The answer depends on what you are rolling: a number cube or some other shape? For a die, the answer is 2/3.
What shape would the probability distribution have for completely certain returns?
a straight, vertical line, i.e., zero variability
What is the probability of rolling a number greater than 18?
The answer depends on what you are rolling: three or more ordinary dice, or fewer dice with non-standard numbers on them, or a die with some other shape.
Define a normal random variable?
I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.
What is the probability of rolling a number cube a number less than 5 and spin a number greater than 5?
There is insufficient information on the shape of the spinner.
