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use the table to answer the questions over probablilty please show all work than

ID: 2901646 • Letter: U

Question

use the table to answer the questions over probablilty please show all work thank you

(a) if a student is selected at random what is the probabilty that the student prefers veggie toppings?

(b) if a freshman is selected at random what is the probability that he or she prefers veggie toppings?

(c) if a student is selected at random what is the probability that he or she prefers cheese toppings?

(d) if a student who prefers meat toppings is selected at random what is the probability that the student is a junior or senior?

toppings freshman sophomore junior senior cheese 108 148 228 188 meat 228 278 148 108 veggie 148 108 228 278

Explanation / Answer

a) Probability = no. of student preferring veggie/ total number of students

= 762 / 2196 = 0.347

b) Probability = freshman preferring veggie/ total no of freshman
= 148/484 = 0.305

c) Probability = no. of student preferring cheese/ total number of students

= 672/2196 = 0.306

d)Probability = no. of senior or junior student preferring meat/ total number of students preferring meat

= 256/ 762= 0.336