There are 10 cards face down on a table and 3 of them are aces. If 5 of these cards are selected at random, what is the probability that at least 2 of them are aces? 5. Defects in a certain type of aluminum screen appear on the average of one in 150 square feet. If we assume the Poisson distribution, nd the probability of at most one defect in 230 square feet.
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.
This post is for Part B!
With the COVID-19 crisis, a manager is concerned with handling the amount of customers arriving to his store. The manager assumes that the number of customers, X, arriving per hour has a Poisson distribution with mean rate of 10 customers per hour. Use this distribution for exercises!
Part A:
1. Use R to generate the pmf of X.
2. Use R to plot the pmf of X.
3. Give the probability that at least 11 customers arrive to the store in a given hour.
Part B:
4. There are 10 cards face down on a table and 3 of them are aces. If 5 of these cards are selected at random, what is the probability that at least 2 of them are aces?
5. Defects in a certain type of aluminum screen appear on the average of one in 150 square feet. If we assume the Poisson distribution, nd the probability of at most one defect in 230 square feet.
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