CU Boulder MATH 2510-Introduction to Statistics 1. Consider the following events

Question

CU Boulder MATH 2510-Introduction to Statistics 1. Consider the following events for a college student selected at random: Astudent is fenale Bstudent is majoring in business (a) Describe with an English phrase, what quantity each of the following expressions describes L PIAIB) The prob nec til. P(A or B) The peb iv. P(Ae and B) ke (b) Given the following contingency table, compute the value of cach of the following expressions. MAJOR GENDER 47 45 92 50 20 106 233 Male 41 71 i. P(AIB) -122 +-- ii. P(A and B) ii. P(A or B) 2 7 23 iv. P(Ae and B)

Explanation / Answer

b)

i)P(A|B )=30/71 =0.4225 (as 30 female out of 71 students majoring in business)

ii)

P(A and B)=30/233=0.1288

iii)

P(A or Bc) =(30+47+50+45+20)/233=0.8240

iv)

P(Ac a nd B) =41/233 =0.1760

( please revert for any clariifcation required)

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