List of top Applied Mathematics Questions on Probability Distribution

Find the value of \( k \).

Using flat rate method, the EMI to repay a loan of ₹ 20,000 in \( 2 \frac{1}{2} \) years at an interest rate of 8% p.a. is:

For the given values 23, 32, 40, 47, 58, 38, 42; the 5-yearly moving averages are:
If the calculated value of \( |t|<t_v(\alpha) \) (critical value of \( t \)), then the null hypothesis:
A fair coin is tossed twice and outcomes are noted. If the random variable \( X \) represents the number of heads that appeared in the experiment, then the mathematical expectation of \( X \) is:
In a 1 km race, player P beats player Q by 18 metres or 9 seconds. What is P's time to complete the race?

When observed over a long period of time, a time series data can predict trends that can forecast increase, decrease, or stagnation of a variable under consideration. The table below shows the sale of an item in a district during 1996–2001:

\[ \begin{array}{|c|c|c|c|c|c|c|} \hline \textbf{Year} & 1996 & 1997 & 1998 & 1999 & 2000 & 2001 \\ \hline \textbf{Sales (in lakh ₹)} & 6.5 & 5.3 & 4.3 & 6.1 & 5.6 & 7.8 \\ \hline \end{array} \]

Questions number 19 and 20 are Assertion and Reason-based questions. Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C), and (D) as given below.

(A) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.