4 Marks Each

Question 14 Marks

Find the maximum and minimum values of $y=x^3-2 x^2-4 x-1$. OR The daily cost of production for $x$ tons of a commodity is $10 x^2-1000 x+50000$. How many units should be produced for the minimum cost ? Also, find the minimum cost.

Answer

$\frac{13}{27},-9$ or $25,000$

View full question & answer→

Question 24 Marks

Find the value of $\lim _{x \rightarrow 1} \frac{\sqrt{x+3}-2}{\sqrt{x+8}-3}$

Answer

$\frac{3}{2}$

View full question & answer→

Question 34 Marks

The weight of randomly selected $500$ adult persons fom a region of a city follows normal distribution. If the average weight of these persons is $55 \ kg$ and its standard deviation is $7 \ kg$ then :
$(1)$ Estimate the number of persons having weights between $41 \ kg$ to $62 \ kg$.
$(2)$ Estimate the number of persons having weights less than $41 \ kg$. OR The monthly income of a group of $1000$ employees follows normal distribution. the maan of the distribution is $₹ 15,000$ and the standard deviation is $₹ 4,000.$ From this information, obtain range of monthly income for middle $60 \%$ of the employees.

Answer

$(1)\ 0.8185,409$ persons $(2)\ 11$ persons or $11,640$ to $Rs. 18,360$

View full question & answer→

Question 44 Marks

$(A)$ Find the probability of getting $' D\ '$ in the first place in all possible arrangements of each and every letter of th eword $\text{'DHYAN'.}$
$(B)$ Two events $A$ and $B$ in the sample space of a random experiment are mutually exclusive.If $3 P ( A )=4 P ( B )=1$ then find $P(A \cup B)$.

Answer

$\frac{7}{12}$

View full question & answer→

Statistics 4 Marks Each

Test yourself on this topic