e life expectancy E of a main-sequence star depends on its mass M. The relation is given by the formula below vwhere Mis solar masses and E is solar lifetimes. E = M25 e sun is thought to be at the middle of its life, with a total life expectancy of about 10 billion years. Thus, the value E = 1 corresponds to a life expectancy of 10 billion years. (a) Does a less massive star have a longer or a shorter life expectancy than a more massive star? longer O shorter (b) Spica is a main-sequence star that is about 7.3 solar masses. What is the life expectancy of Spica? (Round your answer to three decimal places.) billion yr (c) Express using functional notation the life expectancy of a main-sequence star with mass equal to 0.5 solar mass. (Round your answers to one decimal place.) Calculate that value. billion yr (d) Vega is a main-sequence star that is expected to live about 6.36 billion years. What is the mass of Vega? (Round your answer to tvo decimal places.) solar masses

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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.