MEDIUM
12th Maharashtra Board
IMPORTANT
Earn 100

If the a.d.r.v. X has the following probability distribution:

X 1 2 3 4 5 6 7
PX=x k 2k 2K 3k k2 2k2 7k2+k

then k=

50% studentsanswered this correctly

Important Questions on Probability Distributions

MEDIUM
12th Maharashtra Board
IMPORTANT

The expected value of X for the following p.m.f.

X -2 -1 0 1 2
PX 0.3 0.4 0.2 0.15 0.25
EASY
12th Maharashtra Board
IMPORTANT

Identify the random variable as either discrete or continuous in the following. If the random variable is discrete, list its possible values.

An economist is interested in the random variable X, the number of unemployed graduates in a town of population 1 lakh.

EASY
12th Maharashtra Board
IMPORTANT

Identify the random variable as either discrete or continuous in each of the following. If the random variable is discrete, list its possible values.

The random variable X is the amount of syrup prescribed by a physician

EASY
12th Maharashtra Board
IMPORTANT

Identify the random variable as either discrete or continuous in each of the following. If the random variable is discrete, list its possible values.

A person on a high protein diet is interested in the random variable X, the gain in weight in a week.

EASY
12th Maharashtra Board
IMPORTANT

Identify the random variable as either discrete or continuous in each of the following. Write down the range of it.

20 white rats are available for an experiment. Twelve rats are male. Scientist randomly selects 5 rats number of female rats selected on a specific day.

EASY
12th Maharashtra Board
IMPORTANT

Identify the random variable as either discrete or continuous in each of the following. If the random variable is discrete, list its possible values.

A highway-safety group is interested in studying the speed (in km/h) of a car at a checkpoint.

EASY
12th Maharashtra Board
IMPORTANT

The probability distribution of discrete r.v. X is as follows

X=x 1 2 3 4 5 6
PX=x k 2k 3k 4k 5k 6k

Determine the value of k.

HARD
12th Maharashtra Board
IMPORTANT

The probability distribution of discrete r.v. X is as follows

X=x 1 2 3 4 5 6
PX=x k 2k 3k 4k 5k 6k

FindPX4,P2<X<4,PX3 .