search
Log In
0 votes

The chance of a student passing an exam is $20 \%$. The chance of a student passing the exam and getting above $90 \%$ marks in it is $5 \%$. GIVEN that a student passes the examination, the probability that the student gets above $90 \%$ marks is

  1. $\dfrac{1}{18} \\ $
  2. $\dfrac{1}{4} \\$
  3. $\dfrac{2}{9} \\$
  4. $\dfrac{5}{18}$
in Probability and Statistics 24.6k points
recategorized by

Please log in or register to answer this question.

Answer:

Related questions

0 votes
0 answers
Among the four normal distributions with probability density functions as shown below, which one has the lowest variance? $I$ $II$ $III$ $IV$
asked Feb 24, 2017 in Probability and Statistics Arjun 24.6k points
0 votes
0 answers
Let $X_1, \: X_2$ be two independent normal random variables with means $\mu_1, \: \ \mu_2$ and standard deviations $\sigma_1, \: \sigma_2$, respectively. Consider $Y=X_1-X_2; \: \mu_1 = \mu_2 =1, \: \sigma_1=1, \: \sigma_2=2$. Then, $Y$ is normally distributed ... $Y$ has mean $0$ and variance $5$, but is NOT normally distributed $Y$ has mean $0$ and variance $1$, but is NOT normally distributed
asked Feb 17, 2018 in Probability and Statistics Arjun 24.6k points
0 votes
0 answers
If $P(X) = \displaystyle{\frac{1}{4}}$, $P(Y) = \displaystyle{\frac{1}{3}}$, and $P(X \cap Y) = \displaystyle{\frac{1}{12}}$, the value of $P(Y/X)$ is $\displaystyle{\frac{1}{4}} \\$ $\displaystyle{\frac{4}{25}} \\$ $\displaystyle{\frac{1}{3}} \\$ $\displaystyle{\frac{29}{50}}$
asked Feb 24, 2017 in Probability and Statistics Arjun 24.6k points
0 votes
0 answers
The probability of obtaining at least two “SIX” in throwing a fair dice $4$ times is $425/432$ $19/144$ $13/144$ $125/432$
asked Feb 24, 2017 in Probability and Statistics Arjun 24.6k points
0 votes
0 answers
The mean and variance, respectively, of a binomial distribution for $n$ independent trails with the probability of success as $p$, are $\sqrt{np},np\left ( 1-2p \right )$ $\sqrt{np},\sqrt{np\left ( 1-p \right )}$ $np,np$ $np, np\left ( 1-p \right )$
asked Mar 1 in Probability and Statistics jothee 4.9k points
...