## 2013/02/22

### Statistic

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KOZMINSKI UNIVERSITY
M A T H E M A T I C A L S T A T I S T I C S - EXAM
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designate 1:
Approximately 1% of women vulcanized 40-50 construct breast genus Cancer. A woman with breast cancer has a 90% chance of a positive essay from a mammogram, while a woman without has a 10% chance of a false positive result. What is the probability a woman has breast cancer given that she just had a positive test?
Use a tabular cuddle to Bayes Theorem to find each the proper posterior probabilities.
labor movement 2:
The probability dissemination is given:
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Determine all the numerical parameters for the random inconsistent described by the in a higher place function with the proper value of the parametr . Find the additive dispersal function and draw the graph of this function. assign 3:
both functions are given: probability density function and cumulative distribution function which describe the continuous random variable ( ) { ( ] ? ( ] ( ) ( ) { ( ] ( ] ( )
Find the probability that the random variable will outdo the value and the probability that this random variable will have values in the detachment (0; 0,5]. Determine the value: ( ) .
The random variable has a normal distribution ( ).
Find the probability: ( ).
Age of stockbrokers in the USA has a normal distribution with the standard excursion 2,5 years. In the sample of 16 stockbrokers the average age was only 30 years. Estimate by the proper confidence interval the mean stockbrokers age for all the population taking into narration 95 percent of credibility. What is the margin error of this estimate?
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