Indian Navy SSR Binomial Distribution — practice questions

Explore 2 free Binomial Distribution questions in Indian Navy SSR Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Binomial Distribution with Quill →

Binomial Distribution questions and exercises with answers

Showing questions 1–2 of 2.

Ten eggs drawn with replacement from a lot of 10% defective. Probability that **at least one** is defective:Read the answer and worked solution →If $X \sim B(4, p)$ and $2P(X = 3) = 3P(X = 2)$, then $p$ equals:Read the answer and worked solution →

Worked practice questions

Ten eggs drawn with replacement from a lot of 10% defective. Probability that at least one is defective:

$1 - (9/10)^{10}$
$(1/10)^{10}$
$10 \cdot (1/10)$
$10!$

Show answer and solution

Correct answer: A. $1 - (9/10)^{10}$

$P(X \geq 1) = 1 - P(X = 0) = 1 - {}^{10}C_0 (1/10)^0 (9/10)^{10} = 1 - (9/10)^{10} \approx 1 - 0.349 = 0.651$.

Open this question →

If $X \sim B(4, p)$ and $2P(X = 3) = 3P(X = 2)$, then $p$ equals:

$4/13$
$5/13$
$9/13$
$6/13$

Show answer and solution

Correct answer: C. $9/13$

$2 \cdot {}^4C_3 p^3 q = 3 \cdot {}^4C_2 p^2 q^2$ ⇒ $8p = 18q$ ⇒ $p/q = 9/4$ ⇒ $p = 9/13, q = 4/13$.