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Which of the following is probability density function for normal variable $X$ with mean $\mu$ and standard deviation $\sigma$ ?

Q21m

For a normal variable $X$ with mean $\mu$ and standard deviation $\sigma$ , which of the following is standard normal variable $Z$ for it?

Q31m

Which of the following is probability density function for standard normal variable?

Q41m

Which of the following are mean and variance of standard normal variable?

Q51m

What is the total area under normal curve among the following?

Q61m

What is the area under the normal curve to the right hand side of perpendicular line at $X = \mu$ ?

Q71m

In normal distribution, usually which limits include $99\%$ of the observations?

Q81m

In normal distribution, usually what percentage of the observations are included in the limits $\mu \pm \sigma$ ?

Q91m

Which of the following is approximate value of mean deviation for normal variable?

Q101m

Which of the following is approximate value of quartile deviation for standard normal variable?

Q111m

Mean and the first quartile for a normal distribution are 11 and 3 respectively. Which of the following is the value of the third quartile?

Q121m

For a normal distribution, approximate value of mean deviation is 20. Which of the following is the value of quartile deviation?

Q131m

In usual notation of normal distribution, $x = 25$ , $\mu = 20$ and $\sigma = 5$ then which of the following is the value of standard normal variable?

Q141m

Mean of a normal variable $X$ is 50. If the value of $Z$ -score is -2.5 for $x = 25$ then which of the following is a variance of the distribution?

Q151m

If the distribution of normal variable is shown as $N(20, 4)$ then which of the following intervals includes 99.73% of observations?

Q161m

Give the values of the constants used in probability density function of normal variable.

Q171m

What is the probability that a continuous random variable takes definite value?

Q181m

What is the shape of normal curve?

Q191m

What is the skewness of normal distribution?

Q201m

"Standard score is independent of unit of measurement". Is this statement true or false?

Q211m

For which value of standard normal variable, the standard normal curve is symmetric on both the sides?

Q221m

Which value of normal variable divides the area of normal curve in two equal parts?

Q231m

What percentage of area is covered under the normal curve within the range $\mu - 2\sigma$ to $\mu + 2\sigma$ ?

Q241m

Mean of a normal distribution is 13.25 and its standard deviation is 10. Estimate the value of its third quartile.

Q251m

For a normal distribution having mean 10 and standard deviation 6, estimate the value of quartile deviation.

Q261m

The approximate value of mean deviation for a normal distribution is 8. Find its standard deviation.

Q271m

For a normal distribution, the estimated value of quartile deviation is 12. Find the value of its standard deviation.

Q281m

For a probability distribution of standard normal variable, state the estimated limits for the middle $50\%$ observations.

Q291m

The extreme quartiles of normal distribution are 20 and 30. Find its mean.

Q301m

The monthly expense of a group of persons follows normal distribution with mean ₹ 10,000 and standard deviation ₹ 1000. A student has obtained a Z-score = ₹ 1 for randomly selected person having monthly expense more than 11,000. Is this calculation of Z-score true? Give reason.

Q311m

The age of a group of persons follows normal distribution with mean 45 years and standard deviation 10 years. Calculate Z-score for a randomly selected person having age 60 years.

Q321m

Marks obtained by students of a school in Economics subject follows normal distribution with mean $\mu$ and standard deviation $\sigma$ . The value of standard score that a randomly selected student obtained 60 marks is 1. If the variance of variable is 100 (marks) $^2$ then find average marks.