Normal Distribution

For a certain type of mobiles, the length of time between charges of the battery is normally distributed with a mean of $50$ hours and a standard deviation of $15$ hours. A person owns one of these mobiles and wants to know the probability that the length of time will be between $50$ and $70$ hours is (Given $\varphi \left(1.33\right)=0.9082,\varphi \left(0\right)=0.5$)

In normal distribution, mean, median and mode are

Area covered normal curve by $\left(\mu \pm 3\sigma \right)$ is ______.

In normal distribution what is the ratio of $\mathrm{QD}:\mathrm{MD}:\mathrm{SD}$?

The quartile deviation of a normal distribution with mean $10$ and standard deviation $4$ is __________

If we change the parameter (s) of a ________ distribution the Sharpe of probability curve does not change.

 If the mean height is $3$ and the standard deviation by $0.5$; then classify the data in accordance with an empirical rule.   

 If the mean height is $1.5$ and the standard deviation by $0.08$; then classify the data in accordance with an empirical rule.   

Why Normal Distribution curve is bell-shaped?

What is Normal Distribution?

If $X$ and $Y$ are $2$ independent normal variables with mean as $10$ and $12$ and SD as $3$ and $4$ , then $(X+Y)$ is normally distributed with

The probability density function of a normal variable $x$ is given by

The most important continuous probability distribution is known as

An important continuous probability distribution

An important discrete probability distribution is

Probability distribution may be

The probability distribution whose frequency function $f\left(x\right)=\frac{1}{n}\left(x=x_1, x_2, \dots , x_n\right)$ is known as

In Normal distribution as the distance from the $\_\_\_\_\_$ increases, the curve comes closer and closer to the horizontal axis.

In Normal distribution the quartiles are equidistant from

In Normal distribution mean, median and mode are