A private university is accepting applications for enrollment.Out 2000 applicants 950 meet the GPA requiremnets,600 volunteer fo r co mmunity service,and 250 both met the GPA requiremnts and volunteer.Which statemnet correctly describes the probbalitiy that an applicant meets the Gpa reqire,ets or volunteers?
Answer:
Statement:
“The Probability of an applicant either meeting GPA requirements or volunteering for community service is 0.65.”
Step-by-step explanation:
Total applicants = 2000
applicants who meet GPA requirements = 950
volunteers = 600
applicants who get both = 250
P(A) = probability of Meeting GPA requirements = 950/2000 = 0.475
P(B) = probability of volunteering = 600/2000 = 0.3
P(A and B) = 250/2000 = 0.125
Finding the probability that an applicant either meet GPA requirements or volunteer:
P(A or B) = P(A) + P(B) – P(A and B)
P(A or B) = 0.475 + 0.3 – 0.125
P(A or B) = 0.65
A private university is accepting applications for enrollment
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