About 1 % of the population of a certain country is left handed. What is the probability that at

step 1 so here given p is 0 .12 of the population is left handed and given is 200 therefore X follows b

About 1 % of the population of a certain country is left...

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Key Concepts

Binomial Distribution

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent binary (success/failure) trials, each with the same probability of success. It is used to model situations where there are exactly two possible outcomes, such as being left handed or not, across a number of repeated experiments.

Bernoulli Trials

A Bernoulli trial is a random experiment in which there are only two possible outcomes, commonly termed success and failure. When multiple Bernoulli trials are conducted independently under the same conditions, their outcomes can be modeled using the binomial distribution, making this concept fundamental for problems involving a fixed number of independent events.

Complement Rule

The complement rule in probability states that the probability of an event occurring is equal to one minus the probability of it not occurring. This rule is particularly useful in 'at least' probability problems, where it is often simpler to calculate the probability of few or none of the events happening and then subtract this from one to find the desired probability.

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