Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

Which of the following is the probability of $x$ successes in a binomial distribution with number of trials $n$ and probability of success as $θ (0 <θ< 1)$ in each trial?

Options:

${^np}_xθ^x(1-θ)^{n-x},x=0,1,2,.....,n$

${^nc}_xθ^x(1-θ)^{n-x},x=0,1,2,.....,n$

${^nc}_xθ^x(1-θ),x=0,1,2,.....,n$

${^nc}_xθ^x(1-θ)^{x},x=0,1,2,.....,n$

Correct Answer:

${^nc}_xθ^x(1-θ)^{n-x},x=0,1,2,.....,n$

Explanation:

$x$ → successes with $P=θ$

Probability = ${^nc}_x(θ)^x(1-θ)^{n-x}$