Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2020
Exam
NDA
Year
2020
Subject
Mathematics
Chapter
Probability

NDA 2020 · Mathematics · Probability

Consider a random variable X which follows Binomial distribution...

Consider a random variable XX which follows Binomial distribution with parameters n=10n=10 and p=15p=\frac{1}{5}. Then Y=10−XY=10-X follows Binomial distribution with parameters nn and pp respectively given by

Options

  1. A5,155, \frac{1}{5}
  2. B5,255, \frac{2}{5}
  3. C10,3510, \frac{3}{5}
  4. D10,4510, \frac{4}{5}

Correct answer

D. 10,4510, \frac{4}{5}

Step-by-step solution

From question P=15P=\frac{1}{5} Now, P+q=1⇒15+q=1⇒q=1−15=45P+q=1\Rightarrow \frac{1}{5}+q=1 \Rightarrow q=1-\frac{1}{5}=\frac{4}{5} and n=10n=10.
Practice Probability on Quantrex Academy →

More from Probability

Passage: Four dice are rolled. Question: What is the probability that getting a total of… NDA 2026Three events A , B and C are such that A and B are disjoint, A and C are independent, B… NDA 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and… NDA 2026Passage: Four dice are rolled. Question: What is the probability that getting a total of… NDA 2026For a Binomial distribution with mean 6 and standard deviation 2 , what is the value of… NDA 2026Passage: A 4-digit number is selected at random formed by using the digits 0 , 1 , 2 , 3… NDA 2026In an entrance test there are multiple choice questions. There are four options for each… NDA 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and… NDA 2026Consider the following statements in respect of the events A , B , C : I. (A B C) ( A B C… NDA 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and… NDA 2026The probability that a family owns a laptop is 0.68 ; that it also owns a desktop is 0.56… NDA 2025An urn contains 10 white and 5 red balls. If two balls are drawn at random, then what is… NDA 2025An urn contains 5 white, 6 red and 4 blue balls. Three balls are drawn at random. What is… NDA 2025Under which of the following conditions may binomial distribution be used? I. The number… NDA 2025Three faces of a die are black, two faces are white and one face is red. The die is… NDA 2025A person X speaks the truth 4 out of 5 times and person Y speaks the truth 5 out of 6… NDA 2025 Full Probability list Probability JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs