HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Important Questions

Let X ~ B(10, 0.2). Find P(X = 1).

Let X ~ B(10, 0.2). Find P(X ≥ 1).

In a large school, 80% of the pupil like Mathematics. A visitor to the school asks each of 4 pupils, chosen at random, whether they like Mathematics.

Find the probability that the visitor obtains answer yes from at least 2 pupils:

1. when the number of pupils questioned remains at 4.
2. when the number of pupils questioned is increased to 8.

It is observed that it rains on 12 days out of 30 days. Find the probability that it it will rain at least 2 days of a given week.

Given that X ~ B(n = 10, p), E(X) = 8, then value of p = ______

Bernoulli distribution is a particular case of binomial distribution if n = ______

A r.v. X ~ B(n, p). If the values of mean and variance of X are 18 and 12 respectively, then find total number of positive values of X.

Let the p.m.f. of r.v. X be P(x) = `""^4"C"_x (5/9)^x (4/9)^(4 - x)`, x = 0, 1, 2, 3, 4. Find E(X) and Var(X)

A fair coin is tossed 8 times. Find the probability that it shows heads exactly 5 times

The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation none will recover

The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation half of them recover.

If a fair coin is tossed 10 times. Find the probability of getting at most six heads.

Let the probability mass function (p.m.f.) of a random variable X be P(X = x) = `""^4C_x (5/9)^x xx (4/9)^(4 - x)`, for x = 0, 1, 2, 3, 4 then E(X) is equal to ______.

A state with a leading position in international politics with abilities to influence global politics.

State whether the following statement is true or false with reason.

SAARC is important for trade in South Asia.

Express your opinion.

Humanitarian intervention

Explain the term soft power with examples.

Complete the concept map.

Identify the incorrect pair in the set and rewrite.

Write the relevant concept for the given statement.

Hinchasara for the purpose of fulfilling political, religious and ideological objectives by creating fear in the society -