HSC Commerce इयत्ता १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Choose the correct alternative:

Lagrange’s interpolation formula can be used for

Choose the correct alternative:

If f(x) = x² + 2x + 2 and the interval of differencing is unity then Δf(x)

Choose the correct alternative:

For the given data find the value of Δ³y₀ is

A second degree polynomial passes though the point (1, –1) (2, –1) (3, 1) (4, 5). Find the polynomial

Find the missing figures in the following table:

Find f(0.5) if f(– 1) = 202, f(0) = 175, f(1) = 82 and f(2) = 55

From the following data find y at x = 43 and x = 84.

The area A of circle of diameter ‘d’ is given for the following values

Find the approximate values for the areas of circles of diameter 82 and 91 respectively

If u₀ = 560, u₁ = 556, u₂ = 520, u₄ = 385, show that u₃ = 465

From the following table obtain a polynomial of degree y in x.

Using Lagrange’s interpolation formula find a polynominal which passes through the points (0, –12), (1, 0), (3, 6) and (4, 12)

Find the expected value for the random variable of an unbiased die

Let X be a random variable defining number of students getting A grade. Find the expected value of X from the given table:

The following table is describing about the probability mass function of the random variable X

Find the standard deviation of x.

Let X be a continuous random variable with probability density function
`"f"_x(x) = {{:(2x",", 0 ≤ x ≤ 1),(0",",  "otherwise"):}`
Find the expected value of X

Let X be a continuous random variable with probability density function
f(x) = `{{:(3/x^4",",  x ≥ 1),(0",",  "otherwise"):}`
Find the mean and variance of X

In investment, a man can make a profit of ₹ 5,000 with a probability of 0.62 or a loss of ₹ 8,000 with a probability of 0.38. Find the expected gain

What are the properties of Mathematical expectation?

What do you understand by Mathematical expectation?

How do you defi ne variance in terms of Mathematical expectation?