There is a small parking lot behind a floral shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by P(X=x)=4-x x = 0,1,2 9 I) construct the probability distribution table ii) what is the probability that there will be at most 1 car in the parking lot? iii) Calculate the expected number of cars in the parking lot at midday
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.
Question
There is a small parking lot behind a floral shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The
9
I) construct the probability distribution table
ii) what is the probability that there will be at most 1 car in the parking lot?
iii) Calculate the expected number of cars in the parking lot at midday
Question
) 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 ina 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.
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
The time taken by employees at Grace Floral shop to put a bouquet together has a normal
distribution with mean 26.4 minutes and standard deviation .8 minutes.
(i) Find the probability that an employee chosen at random takes between 24.6 and 27.8
minutes to put a bouquet together.
(ii) 12% of employees take more than t minutes to put a bouquet together
Find the value
of t.
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