The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a) What is the probability that the number of particles withdrawn will be between 235 and 265? b) What is the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52? c) If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 48 and 52? d) How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 48 and 52 with probability 95%?
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.
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a) What is the probability that the number of particles withdrawn will be between 235 and 265? b) What is the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52? c) If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 48 and 52? d) How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 48 and 52 with probability 95%?
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