Probability & Statistics

Single correct

• A$X$ is an exponential random variable
• B$X$ is a normal random variable
• C$X$ is a Poisson random variable
• D$X$ is a uniform random variable

Numerical answer

Numerical answer

Numerical answer

Single correct

• A$\dfrac{1}{324}$
• B$\dfrac{5}{324}$
• C$\dfrac{7}{324}$
• D$\dfrac{11}{324}$

Single correct

• A$\bar{z} = \bar{x}\bar{y}$
• B$\bar{z} \le \bar{x}\bar{y}$
• C$\bar{z} \ge \bar{x}\bar{y}$
• D$\bar{z} \le \bar{x}$

Numerical answer

Answer key coming soon

question   probability of answering correctly   marks
QuesA      0.8                                  10
QuesB      0.5                                  20

Single correct

• AFirst QuesA and then QuesB. Expected marks 14.
• BFirst QuesB and then QuesA. Expected marks 14.
• CFirst QuesB and then QuesA. Expected marks 22.
• DFirst QuesA and then QuesB. Expected marks 16.

Answer key coming soon

Single correct

• A$\dfrac{r}{r+b}$
• B$\dfrac{r}{r+b+3}$
• C$\dfrac{r+3}{r+b+3}$
• D$\left(\dfrac{r}{r+b}\right)\left(\dfrac{r+1}{r+b+1}\right)\left(\dfrac{r+2}{r+b+2}\right)\left(\dfrac{r+3}{r+b+3}\right)$

Answer key coming soon

Single correct

• A$\dfrac{4}{5}$
• B$\dfrac{5}{6}$
• C$\dfrac{7}{8}$
• D$\dfrac{11}{12}$

Answer key coming soon

Single correct

• A$N\beta(1 - \beta)$
• B$N\beta$
• C$N(1 - \beta)$
• DNot expressible in terms of $N$ and $\beta$ alone

Answer key coming soon

Numerical answer

Answer key coming soon

Numerical answer

Answer key coming soon

Numerical answer

Numerical answer

Numerical answer

Numerical answer