What costs $60 million per gram and can beused to treat brain cancer, analyze coal for its sulfur content, and detect explosives in luggage? The answer is californium-252, a radioactive isotope so rare that only 8 g of it have been made in the Westernworld since its discovery by Glenn Seaborg in 1950. The half-life ofthe isotope is 2.645 years—long enough for a useful service life andshort enough to have a high radioactivity per unit mass. One microgram of the isotope releases 170 million neutrons per minute.a. What is the value of k in the decay equation for this isotope?b. What is the isotope’s mean life?c. How long will it take 95% of a sample’s radioactive nuclei todisintegrate?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
What costs $60 million per gram and can be
used to treat brain cancer, analyze coal for its sulfur content, and detect explosives in luggage? The answer is californium-252, a radioactive isotope so rare that only 8 g of it have been made in the Western
world since its discovery by Glenn Seaborg in 1950. The half-life of
the isotope is 2.645 years—long enough for a useful service life and
short enough to have a high radioactivity per unit mass. One microgram of the isotope releases 170 million neutrons per minute.
a. What is the value of k in the decay equation for this isotope?
b. What is the isotope’s mean life?
c. How long will it take 95% of a sample’s radioactive nuclei to
disintegrate?
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