Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet (i) Define the random variable for this situation and list its values (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii) State the conditions that influence your choice of distribution. (iv) Calculate the probability that at most 2 of the roses were Eden Roses.
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.
a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet
(i) Define the random variable for this situation and list its values
(ii) Stating its parameter(s), what is the
(iii) State the conditions that influence your choice of distribution.
(iv) Calculate the probability that at most 2 of the roses were Eden Roses.
b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute.
(i) Define the random variable in this situation and list its values.
(ii) Stating its parameter(s), what is the probability distribution of this variable?
(iii) Compute the probability that 5 calls will arrive per minute.
(iv) Compute the probability that 3 or more calls will arrive in a 3-minute interval
Step by step
Solved in 2 steps