Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • in a binomial distribution B(n, p=1/4), if possiblility of atleast one sucess is greater than or equal to 9/10, then n is greater than??

in a binomial distribution B(n, p=1/4), if possiblility of atleast one sucess is greater than or equal to 9/10, then n is greater than??

Answers (1)

\begin{array}{l} 0,1,2,3,4, \ldots ., n \\ P=1-\text { all fail } \\ S(P)=\frac{1}{4} \\ S(F)=1-S(P) \\ =1-\frac{1}{4} \\ =\frac{3}{4} \end{array}

\begin{array}{l} P=1-\left(\frac{3}{4}\right)^{n} \geq \frac{9}{10} \\ -\frac{9}{10} \geq\left(\frac{3}{4}\right)^{n} \\ \\ \frac{1}{10} \geq\left(\frac{3}{4}\right)^{n} \\ -1 \geq n \frac{\log _{10} 3}{4} \end{array}

\begin{array}{l} n \leq-\frac{1}{\frac{\log _{10} 3}{4}} \\ \leq-\frac{1}{\log _{10} 3-\log _{10} 4} \\ n \geq \frac{1}{\log _{10} 4-\log _{10} 3} \end{array}

Posted by

Satyajeet Kumar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JAC Chandigarh Counselling 2025: Round 1 seat allotment result out for BTech admissions
anam-khan

JoSAA round 5 seat allotment result 2025 out on josaa.nic.in
anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today

Latest Question