In a battery manufacturing factory, machines | vedclass

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

Question

(B) Let $E_1$, $E_2$, and $E_3$ be the events that the battery is produced by machines $P$, $Q$, and $R$ respectively. Let $A$ be the event that the b

Vedclass · Accepted Answer

$\frac{33}{2000}$

Vedclass · Answer

(B) Let $E_1$, $E_2$, and $E_3$ be the events that the battery is produced by machines $P$, $Q$, and $R$ respectively. Let $A$ be the event that the battery is defective. Given probabilities are: $P(E_1) = 0.20$, $P(E_2) = 0.30$, $P(E_3) = 0.50$. Conditional probabilities of defective batteries are: $P(A|E_1) = 0.01$, $P(A|E_2) = 0.015$, $P(A|E_3) = 0.02$. Using the Law of Total Probability: $P(A) = P(E_1)P(A|E_1) + P(E_2)P(A|E_2) + P(E_3)P(A|E_3)$ $P(A) = (0.20 	imes 0.01) + (0.30 	imes 0.015) + (0.50 	imes 0.02)$ $P(A) = 0.002 + 0.0045 + 0.010 = 0.0165$ Converting to fraction: $P(A) = \frac{165}{10000} = \frac{33}{2000}$.

Similar Questions

If $A, B$ and $C$ are three independent events of a random experiment such that $P(A \cap B^{c} \cap C^{c}) = \frac{1}{4}$,$P(A^{c} \cap B \cap C^{c}) = \frac{1}{8}$ and $P(A^{c} \cap B^{c} \cap C^{c}) = \frac{1}{4}$,then $P(A), P(B)$ and $P(C)$ are respectively

The probability that a mechanic makes an error while using a machine on the $n$th day is given by $P(E_n) = \frac{1}{2^n}$. If he has operated the machine for $4$ days, the probability that he has not made a mistake on $3$ of the $4$ days is:

If $n$ positive integers are taken at random and multiplied together,the probability that the last digit of the product is $2, 4, 6$ or $8$ is:

Four persons $A, B, C$ and $D$ throw an unbiased die, turn by turn in succession till one gets an even number and wins the game. What is the probability that $A$ wins the game if $A$ begins?

Let $S = \{w_1, w_2, \ldots\}$ be the sample space associated with a random experiment. Let $P(w_n) = \frac{P(w_{n-1})}{2}$ for $n \geq 2$. Let $A = \{2k + 3\ell : k, \ell \in \mathbb{N}\}$ and $B = \{w_n : n \in A\}$. Then $P(B)$ is equal to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module