Qthe probability that a regularly scheduled flight departs...

Q)The probability that a regularly scheduled flight departs on time is 0.83 and the probability that it arrives on time is 0.82. Of those departed on time, 0.94 arrives on time. What is the probability that a plane departs on time and arrives late? a. 0.0592 b. 0.0498 c. 0.7708 d. 0.7802 e. 0.5 The time to failure for a power supply unit used in a particular brand computer is thought to be exponentially distributed with a mean of 4000 hours as per the contract between the vendor and the PC maker. The PC manufacturer has just had a warranty return from a customer who had the power supply fail after 2100 hours of use. Assume the PC maker has sold 1000000 computers with this power supply, approximately how many should be returned due to failure at 2100 hours or less? a. 210000 PC b. 591555 PC c. 250000 PC d. 250 PC e. 408444 PC

Transcript

00:01 Hi, i'm david and i'm here to help you answer your question.

00:03 Now let me bring up your question here.

00:06 Here we have several questions.

00:09 The first one, the probability that are regularly scheduled flight depart on time.

00:15 So we will denote that the probability depart on time, it will be 0 .83.

00:22 And probability that it arrived on time, i will denote as a equal to 0182.

00:29 Of those departed on time, 0 .94 arrived on time.

00:36 So this one means that probability arrived on time given that it will be departed on time, it will equal to the 0 .94.

00:47 And now what is the probability that the plan depart on time and arrive late? so the question asks us to find the probability that they depart on time, and a rave to relate to a complement.

01:05 Now to find this one we will have to so for this we should be able to find first i will have to find the probability of the a intersection of the d and then technically i let me try to draw the venn diagram to make it easy for you to see now we will have the the depart will be d and it will be the 0 .83.

01:44 I write it on time it will be the a will be 0 .82 and then this from here we should be able to obtain the probability of the a intersection d it will equal to the probability of a given d times probability then we have equal 0 .94 times the 0 .83.

02:14 Then we can equal to 0 .94 times under 0 .83 equal to the 0 .7802.

02:22 The reason why we find it because then we tell us the area in the middle here.

02:28 It will equal to the 0 .7802.

02:34 Now the question is going to find the probability that the department on time and not arriving late it means that there will be the area we're looking for here that will not include the intersection between dna so therefore we will be able to find probability that the intersection of a complement it will equal to the probability and then minus probability the m the 8 intersection d.

03:10 Then we get equal to the 0 .83 minus intersection between them.

03:17 It will equal to 0 .0498...

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