Probability theory (solve tasks) 1)Consider 276 independent observations. The probability of event A in a particular experiment is 0.8. Choose the appropriate formula to calculate the probability that event A occurs at least 220 times. a)Moivre-Laplace integral formula b)Poisson formula c)Moivre-Laplace local formula d)Bernoulli formula

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Probability theory (solve tasks)

1)Consider 276 independent observations. The probability of event A in a particular experiment is 0.8. Choose the appropriate formula to calculate the probability that event A occurs at least 220 times.

a)Moivre-Laplace integral formula
b)Poisson formula
c)Moivre-Laplace local formula
d)Bernoulli formula

2)Three machines produce similar components. The ratio of their productivities is 1:4:1. The standard components percentage for the first machine is 96%, for the second is 92% and for the third is 97%. Randomly taken component is found to be standard. Find the probability that it was made by the second machine.

3)Consider 10 independent observations. The probability of event A in a particular experiment is 0.24. Choose the appropriate formula to calculate the probability that event A occurs at least 2 and not more than 8 times.

a)Bernoulli formula

b)Poisson formula

c)Moivre-Laplace integral formula

d)Moivre-Laplace local formula

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