Math  /  Data & Statistics

QuestionA Class contains 20 male students and 30 female students. We found that 7 male students have a major in Statistics while 10 female students have major in Statistics. If a student is selected at random and we found that (his/her) major is Statistics, what is the probability that the student is "Male"? a. 10/1710 / 17 b. none of them C. 7/207 / 20 d. 1/31 / 3 e. 7/177 / 17

Studdy Solution
استخدام قاعدة الاحتمال الشرطي لحساب احتمال أن يكون الطالب "ذكر" إذا كان تخصصه هو الإحصاء:
P(ذكر | إحصاء)=عدد الطلاب الذكور الذين يدرسون الإحصاءالعدد الكلي للطلاب الذين يدرسون الإحصاء=717 P(\text{ذكر | إحصاء}) = \frac{\text{عدد الطلاب الذكور الذين يدرسون الإحصاء}}{\text{العدد الكلي للطلاب الذين يدرسون الإحصاء}} = \frac{7}{17}
الاحتمال هو:
717 \boxed{\frac{7}{17}}

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