A certain form of cancer is known to be found in women over…
A certain form of cancer is known to be found in women over 60 with probability 0.07. A blood test exists for the detection of the disease, but the test is not infallible. In fact, it is known that 10% of the time the test gives a false negative (i.e., the test incorrectly gives a negative result) and 5% of the time the test gives a false positive (i.e., incorrectly gives a positive result). If a woman over 60 is known to have taken the test and received a favorable (i.e., negative) result, what is the probability that she has the disease?
Read DetailsIn a small island, earthquakes occur twice per year on avera…
In a small island, earthquakes occur twice per year on average. Assume the number of the earthquakes follows from a Poisson distribution. What is the probability that there are 3 to 6 earthquakes from January 1, 2029 to December 31, 2031?
Read DetailsA candidate for public office is thought to have support of…
A candidate for public office is thought to have support of 60% of the voters. Randomly select 100 voters. Use normal approximation to find the probability for the event that between 50 and 60 (inclusive) voters will support the candidate.
Read DetailsIn a small island, earthquakes occur twice per year on avera…
In a small island, earthquakes occur twice per year on average. Assume the number of the earthquakes follows from a Poisson distribution. What is the probability that there are 3 to 6 earthquakes from January 1, 2029 to December 31, 2030?
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