Q61·Section III (Statistics)·61 of 84P(max=x)=F(x)m−F(x−1)mP(\max=x)=F(x)^m-F(x-1)^mP(max=x)=F(x)m−F(x−1)m for integer-valued variablesLet X1,X2,…,XmX_1,X_2,\dots,X_mX1,X2,…,Xm be iid rvs with B(n,p)B(n,p)B(n,p). The distribution of X(m)=maxXiX_{(m)}=\max X_iX(m)=maxXi is: OptionsA(∑i=0x(ni)piqn−i)m−(∑i=0x−1(ni)piqn−i)m\Bigl(\sum_{i=0}^x\binom ni p^iq^{n-i}\Bigr)^m-\Bigl(\sum_{i=0}^{x-1}\binom ni p^iq^{n-i}\Bigr)^m(∑i=0x(in)piqn−i)m−(∑i=0x−1(in)piqn−i)mBm[∑i=0x(ni)piqn−i]m−1m\Bigl[\sum_{i=0}^x\binom ni p^iq^{n-i}\Bigr]^{m-1}m[∑i=0x(in)piqn−i]m−1Cm[∑i=0x−1(ni)piqn−i]m−1m\Bigl[\sum_{i=0}^{x-1}\binom ni p^iq^{n-i}\Bigr]^{m-1}m[∑i=0x−1(in)piqn−i]m−1Dm[∑i=0x−2(ni)piqn−i]m−2m\Bigl[\sum_{i=0}^{x-2}\binom ni p^iq^{n-i}\Bigr]^{m-2}m[∑i=0x−2(in)piqn−i]m−2Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q60All questionsQ62 →Keyboard: A–D answer · S solution · ←/→ previous/next