Answer:
P (Cheese) = 0.199, P (Sausage) = 0.259, P (Pepperoni) = 0.181,
P (Supreme) = 0.130, P (Another Kind) = 0.144
and P (Does not like any kind) = 0.088
Step-by-step explanation:
Given:
Number of students who prefer cheese = 43
Number of students who prefer sausage = 56
Number of students who prefer pepperoni = 39
Number of students who prefer supreme = 28
Number of students who prefer another kind = 31
Number of students who did not like any kind = 19
∴ The total number of students surveyed =
The number of students who prefer pizza = 
The probability that a students likes pizza is,


The probability that a students does not likes pizza is,


The probability distribution of students who prefer different kinds of pizza is:
- The probability that a student likes cheese:


- The probability that a student likes sausage:


- The probability that a student likes pepperoni:

- The probability that a student likes supreme:

- The probability that a student likes another kind:


Thus, the probability distribution table is displayed below: