Day 266: CBSE Class 12 Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1 (case study, 4 parts)
Probability. Asked once: 2023 (same type asked 5 times)
Recent studies suggest that roughly 12% of the world population is left handed. Depending upon the parents, the chances of having a left handed child are as follows : A : When both father and mother are left handed : Chances of left handed child is 24%. B : When father is right handed and mother is left handed : Chances of left handed child is 22%. C : When father is left handed and mother is right handed : Chances of left handed child is 17%. D : When both father and mother are right handed : Chances of left handed child is 9%. Assuming that $P(A) = P(B) = P(C) = P(D) = \frac{1}{4}$ and L denotes the event that child is left handed. Based on the above information, answer the following questions :
37 (i) $P(L/C)$
37 (ii) $P(\overline{L}/A)$
37 (iii)(a) $P(A/L)$
37 (iii)(b) $Find the probability that a randomly selected child is left handed given that exactly one of the parents is left handed.$
Question 2
Probability. Asked once: 2023 (same type asked 5 times)
12 $P\left(\frac{A}{B}\right) = 0{\cdot}3$
Tap an option to check your answer.
Question 3
Continuity and Differentiability. Asked once: 2023 (same type asked 4 times)
3 $f(x) = 2|x| + 3|\sin x| + 6$
Tap an option to check your answer.
Question 4
Integrals. Asked once: 2022 (same type asked 4 times)
12 (b) $\int_{-2}^{1} \sqrt{5 - 4x - x^2} \, dx$
Question 5
Linear Programming. Asked once: 2024 (same type asked 4 times)
30 $z = 4x + 3y$

Question 1 (case study, 4 parts)