# GATE2013-62

In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production $2\%$ of $M1$ and $3\%$ of $M2$ are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by $M2$?

1. $0.35$
2. $0.45$
3. $0.5$
4. $0.4$

retagged

## Related questions

1
$10\%$ of the population in a town is HIV+. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV+ individuals 95% of the time, and HIV individuals $89\%$ of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is_______
2
An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y$. $X$ supplies $60\%$ and $Y$ supplies $40 \%$ of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $X's$ ... a randomly chosen shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$
If $\text{|-2X + 9| = 3}$ then the possible value of $|-X|-X^2$ would be: $30$ $-30$ $-42$ $42$
Following table gives data on tourists from different countries visiting India in the year $2011$ ... the one third of the total number of tourists ho visited India in $2011$? USA and Japan USA and Australia England and France Japan and Australia
Velocity of an object fired directly in upward direction is given by $V = 80-32 t$, where $t$ (time)is in seconds. When will the velocity be between $32 m/sec$ and $64 m/sec$. $(1,3/2)$ $(½,1)$ $(½, 3/2)$ $(1, 3)$