Let X be a r.v. represents the life time of lamps which is produced by a factory and has a p.d.f given by: f(x)=ce^(-2x) , x>0 Find the value of c

  • رياضيات
  • احصاء

Let X be a r.v. represents the life time of lamps which is produced by a factory and has a p.d.f given by:
f(x)=ce^(-2x)      ,      x>0
Find the value of c.

الأجوبة

Since f(x) is p.d.f,    then ∫_(-∞)^∞ 〖f(x)〗 dx=1
∴1=c∫_0^∞ e^(-2x)  dx=c[-1/2 e^(-2x) ]_0^∞=1/2 c  →c=2

سجل الدخول لتستطيع الإجابة
هل كان المحتوى مفيد؟

0 نعم

0 لا

أسئلة مشابهة

Let X be a r.v. represents the life time of lamps which is produced by a factory and has a p.d.f given by: f(x)=ce^(-2x) , x>0 The standard deviation of the life time of lamps
Let A= event that a family has children of both sexes, and Let B= event that a family has at most one boy. Show that A and B are dependent events if a family has two children.
Let A= event that a family has children of both sexes, and Let B= event that a family has at most one boy. Show that A and B are independent events if a family has three children.
Let X be a continuous r.v has a p.f given by: f(x)={(ce^(-2x) , X≥0 0 otherwise)┤ Find the value of c

القوائم الدراسية التي ينتمي لها السؤال

معلومات ذات صلة

تبحث عن مدرس اونلاين؟

ابحث عن مدرسك
محتاج مساعدة باختيار المدرس الافضل؟ تواصل مع فريقنا الان لمساعدتك بتأمين افضل مدرس
ماهو التخصص الذي تبحث عنه؟
اكتب هنا...