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Qn #1730
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A random variable $X$ has the probability distribution:
\[\begin{array}{c|ccccccccc}
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline
P(X=x) & a & 3a & 5a & 7a & 9a & 11a & 13a & 15a & 17a
\end{array}
\]The value of $a$ is:
Qn #1696
Probability a blade is defective $=0.002$, packet of $10$ blades.
Find packets with no defective blades in $10000$ packets.
Qn #1622
An experiment succeeds twice often as it fails. The probability that in the next six trials there will be at least four successes is.
Qn #1613
A random variable X has the distribution law as given below:
The variance of the distribution is
| X | 1 | 2 | 3 |
| P(X=x) | 0.3 | 0.4 | 0.3 |
Qn #1239
The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively. The P(X = 1) is
Qn #565
A critical orthopedic surgery is performed on 3 patients. The probability of recovering
a patient is 0.6. Then the probability that after surgery, exactly two of them will recover
is
Qn #460
The number of accidents per week in a town follows Poisson distribution with mean
3 (In Exam Given 2, which is incorrect).
If the probability that there are three accidents in two weeks time is $ke^{-6}$, then the
value of k is
Qn #440
The scores of students in a national level examination are normally distributed with
a mean of 500 and a standard deviation of 100. If the value of the cumulative distribution of the
standard normal random variable at 0.5 is 0.691, then the probability that a randomly selected
student scored between 450 and 500 is