A book contains 600 typographic errors in its 600 pages. These typo errors occur completely at random. Using the Poisson distribution, the probability, that a page contains no error, is :
0.37
For random, independent events the number of errors per page follows a Poisson distribution \(P(k)=\frac{\lambda^k e^{-\lambda}}{k!}\), where \(\lambda\) is the mean number per page.
Mean errors per page: \(\lambda=\frac{600}{600}=1\).
Probability of no error: \(P(0)=\frac{1^0e^{-1}}{0!}=e^{-1}\approx 0.3679\).
Hence, the answer is 0.37.
Similar Questions
If A and B are independent events with P(A) = 0.7 and P(B) = 0.8, then P(A∪B) = .................... .
The score in a certain examination follows normal distribution with mean 50 and standard deviation 16 then the marks of top 1% candidates will have score more than .................. .
Suppose the number of accidents per week on a certain highway follows Poisson distribution with mean 2 then the percentage of weeks having no accidents is ....................
(Given e-2 = 0.1353)
A box contains 8 white and 3 red balls. If two balls are drawn at random, find the probability that one is white and one is red.
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Important Questions from Probability
- If one event is unaffected by the outcome of another event, the two events are said to be:
1. Dependent
2. Independent
3. Mutually exclusive
4. Mutually inclusive - Let $M$ be a randomly chosen non-empty subset of $S = \{1, 2, 3, \dots, 2026\}$.
Which of the following is the probability that the product of all the elements of $M$ is even? - A fair coin is tossed 6 times. The probability of getting at least 5 heads is _________________. (rounded off to two decimal places)
- Consider a random experiment of rolling a fair die. The probability of getting an odd number or a number less than 4 is ______ (Rounded off to two decimal places).
- In a null hypothesis significance test, the significance level $\alpha$ was set to 0.01. For which one or more of the following $p$ values would the null hypothesis be rejected?
