Math  /  Data & Statistics

QuestionConsider a Bernoulli scheme of 4000 trials, with the probability of success in a single trial equal to 1/41 / 4. Then
a. The probability that at least 2001 trials will end in success is the same as the probability that at most 1999 trials will end in success.
b. The most probable number of sucesses in this experiment amounts to 1000 c. The probability of not obtaining any successes can be approximated using the Poisson theorem with an appropriate expression for λ=4000/4\lambda=4000 / 4, and this will be a good approximation. d. Probability of not getting any successes amounts to (3/4)^4000

Studdy Solution
Prawdopodobieństwo nieuzyskania żadnych sukcesów:
(1p)n=(34)4000 (1-p)^n = \left(\frac{3}{4}\right)^{4000}

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