4 a student who has difficulty getting up for class...

Name: 4 a student who has difficulty getting up for class purchases three old alarm clocks the storekeeper says the probability of clock 1 working is 75 the probability of clock 2 working is 92 an 45543
Uploaded: 2022-02-14T11:07:15-08:00
Duration: 3 min 49 s
Channel: Chandramohan S
Description: 4 a student who has difficulty getting up for class purchases three old alarm clocks the storekeeper says the probability of clock 1 working is 75 the probability of clock 2 working is 92 an 45543

4. A student, who has difficulty getting up for class, purchases three old alarm clocks. The storekeeper says the probability of clock 1 working is 75%, the probability of clock 2 working is 92% and the probability of clock 3 working is 60%. On a given morning find: a) The probability that all three clocks work. b) The probability that neither clock works. c) The probability that least one clock works.

Transcript

00:01 So in this problem bob is fixing two clocks, that is two alarm class to wake up in the morning, right? and the percentage of waking up is 46 by 100, that is 46 percentage, so which is equal to 0 .46.

00:16 So now the probability of waking up by the first clock is 0 .46.

00:22 And similarly, the probability of waking up by the second clock is also 0 .46.

00:27 But the question is he is not waking up for both the clocks he is sleeping okay so that is we have to find p of a union b the whole bar whole complement we have to find it out so from this p of a complement is equal to 1 minus p of a which is equal to 0 .54 and p of b complement is equal to 1 minus p of b which is equal to 0 .54 then based on this de marganclay here p of a union b, the whole complement is equal to p of a complement, intersection b complement.

01:07 Because here a and b are two different clocks, they two are disjoint.

01:12 Therefore, b of a complement, intersection b complement can be written as p of a complement multiplied by p of b complement.

01:20 So which is equal to 0 .54, the whole square, which is equal to 0 .2916.

01:27 Then the next question is, he is fixing three clocks to wake up.

01:32 Okay, so now the clocks increased three clocks to wake up.

01:35 What is the probability of getting up at least by one clock, that is p of a union, b, union c, which is equal to p of a plus it is given that it is at least 82%.

01:49 Okay, so waking up by any one of the three clock is at least 82 percentage.

01:54 So p of a plus p of b plus p of c minus p of a intersection b minus p of b intersection c minus p of a intersection c plus p of a intersection b intersection c...

Question

Please give Ace some feedback