As a business strategy,20 % of the new intern | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Consider the Binomial probability distribution where $n = 5$ and $p = 0.2 = \frac{1}{5}$.Probability of success $p = \frac{1}{5}$,so probability o

Vedclass · Accepted Answer

$\frac{821}{3125}$

Vedclass · Answer

(B) Consider the Binomial probability distribution where $n = 5$ and $p = 0.2 = \frac{1}{5}$.Probability of success $p = \frac{1}{5}$,so probability of failure $q = 1 - \frac{1}{5} = \frac{4}{5}$.We need to find the probability that at least two subscribers receive the promotion,which is $P(X \geq 2)$.This can be calculated as $P(X \geq 2) = 1 - [P(X = 0) + P(X = 1)]$.$P(X = 0) = { }^5 C_0 \left(\frac{1}{5}ight)^0 \left(\frac{4}{5}ight)^5 = 1 	imes 1 	imes \frac{1024}{3125} = \frac{1024}{3125}$.$P(X = 1) = { }^5 C_1 \left(\frac{1}{5}ight)^1 \left(\frac{4}{5}ight)^4 = 5 	imes \frac{1}{5} 	imes \frac{256}{625} = \frac{256}{625} = \frac{1280}{3125}$.Therefore,$P(X \geq 2) = 1 - \left(\frac{1024 + 1280}{3125}ight) = 1 - \frac{2304}{3125} = \frac{3125 - 2304}{3125} = \frac{821}{3125}$.

As a business strategy,$20 \%$ of the new internet service subscribers selected randomly receive a special promotion. If a group of $5$ such subscribers signs for the service,then the probability that at least two of them get the special promotion is

Similar Questions

Find the mean of the Binomial distribution $B\left(4, \frac{1}{3}\right)$.

$A$ die is thrown $(2n+1)$ times. The probability of getting $1$ or $3$ or $4$ at most $n$ times on it is

Five cards are drawn successively with replacement from a well-shuffled deck of $52$ cards. What is the probability that only $3$ cards are spades?

The probability that a bulb produced by a factory will fuse after $150$ days of use is $0.05$. Find the probability that out of $5$ such bulbs,at least one will fuse after $150$ days.

$A$ lot of $100$ bulbs contains $10$ defective bulbs. Five bulbs are selected at random from the lot and are sent to a retail store. Then the probability that the store will receive at most one defective bulb is

Vedclass Test Series

Exam Paper Generator

Online Exam Module