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Which variable of the following will be an illustration of discrete variable?

Which variable of the following will be an illustration of continuous variable?

A random variable $X$ assume the values $-1, 0$ and $1$ with respective probability $\frac{1}{5}$ , $K$ and $\frac{1}{3}$ , where $0 < K < 1$ and $X$ does not assume any value other than these values. What will be the value of $E(X)$ ?

A random variable $X$ assumes the values $-2, 0$ and $2$ only with respective probabilities $\frac{1}{5}, \frac{3}{5}$ and $K$ . If $0 < K < 1$ , what will be the value of $K$ ?

Mean and variance of a discrete probability distribution are 3 and 7 respectively. What will be $E\left(X^{2}\right)$ for this distribution ?

For the probability distribution of a discrete random variable, $E(X) = 5$ and $E\left(X^{2}\right) = 35$ . What will be the variance of this distribution ?

For a positively skewed binomial distribution with $n = 10$ , which of the following values might be the value of mean ?

For which value of $x$ , the value of $p(x)$ of binomial distribution with parameters $n = 4$ and $p = \frac{1}{2}$ becomes maximum ?

The binomial distribution has mean 5 and variance $\frac{10}{7}$ . What will be the type of this distribution ?

Which of the following is the formula of probability of an event of not getting a success in the binomial distribution with parameters $n$ and $p$ ?

Define discrete random variable.

Define continuous random variable.

Define discrete probability distribution.

State the formula to find mean of discrete variable.

State the formula to find variance of discrete variable.

Mean of a symmetrical binomial distribution is 7. Find the value of its parameter $n$ .

The parameters of a binomial distribution are 10 and $\frac{2}{5}$ . Calculate its variance.

State the relation between the probability of success and failure in Bernoulli trials.

State the relation between mean and variance of binomial distribution.

The probability of failure in a binomial distribution is 0.6 and the number of trials in it is 5. Find the probability of success.

Define random variable.

Difference between discrete and continuous random variable.

State the two conditions that a probability distribution must satisfy.

What happens if $p(x_i) = -0.2$ in a distribution?

Define Bernoulli Trials.

State three properties of Bernoulli Trials.

Define binomial probability distribution.

What are the parameters of binomial distribution?

State eight properties of binomial distribution.

When is the skewness of binomial distribution positive, zero, or negative?

State the formula for mean and variance of binomial distribution.

Difference between binomial distribution and general discrete distribution.

If mean of a binomial distribution is 6 and variance is 2, find $n$ and $p$ .

What is the value of $\sum p(x)$ for a probability distribution?

Can variance be negative?