) Suppose thal He lifchime x) oF a certain madel of pollows an exponcn tial distri bution with * years? a calalator mcan lipe oF 4) What is he rate paramekr and pobobility dis tibvtion lipe of the calaulator battry?" °f the ) What is He probability that the lipe of balteng will be 2 years? graker than ) What is Hhe proba bi lity that the lipe of the pattory greater than years but kss than 4 years? e) what is theis var (x)?
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- A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of atleast one regulation? b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by simpler pmf. c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).Assume that there is a 6% rate of disk filure in a year. a) If all your computer data storage is stored on a hard drive with a copy stored on a second hard disk drive, what is the probabiblity that during that year you can avoid catastrophe with at least one working drive? b) If copies of all your computer data are stored on three independent hard disk drives, what is the probablility that during a year you can avoid catastrophe with at least one working drive?A second-stage smog alert has been called in a certain area of LosAngeles County in which there are 50 industrial firms. An inspector willvisit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation,what is the pmf of the number of firms visited by the inspector thatare in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X= the number among the 10 visited that are in violation,compute E(X) and V(X) both for the exact pmf and theapproximationg pmf in part (b).
- A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations.a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).Assuming that no auestions are keft unanswered, in hie many ways can a five-question quiz with 4-choicr multiple choicr questions br answered?Which of the following statments are false ( shown in image):
- Two diffe_rent types of in_jection-molding machi_nes are used to form plas_tic parts. Two random samples, each of size 200, are selected from plastic parts produce_d from each machine, respectively. It is discovered that 16(six=teen) def_ective parts are found in the sample from the first machinewhile only 12 defective parts are found in the sam_ple from the second machine. Find a 99% confid_ence interv_al for the true differenc_e of defect_ive proportions between these 2 machinesWere any assumptions required in order for this inference to be valid?a. Yes, the sample of network 1 ad-breaks must be independent of the sample of network 2 ad-breaks.Each population must be normally distributed, i.e. the population of all ad-breaks shown on network 1 have lengths that must be normally distributed and the population of all ad-breaks shown on network 2 have lengths that must be normally distributed.b. Yes, the sample of network 1 ad-breaks must be independent of the sample of network 2 ad-breaks.The Central Limit Theorem applies, which states the sampling distribution is normal for any population distributions.c. No. The Central Limit Theorem applies, which states the sampling distribution is normal for any population distributions.d. Yes , each population must be normally distributed, i.e. the population of all ad-breaks shown on network 1 have lengths that must be normally distributed and the population of all ad-breaks shown on network 2 have lengths that must be…The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected. A package delivery service claims that no more than 5 percent of all packages arrive at the address late. Assuming that the conditions for the binomial hold, if a sample of size 10 packages is randomly selected and the 5 percent rate holds, what is the probability that more than 2 packages will be delivered late? A).0105 B).0116 C).0746 D) .0862
- The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected. A package delivery service claims that no more than 5 percent of all packages arrive at the address late. Assuming that the conditions for the binomial hold, if a sample of size 10 packages is randomly selected, and the 5 percent rate holds, what is the probability that exactly 2 packages in the sample arrive late? A) .0439 B) .0746 C) .2347 D) .(886A random sample of 1200 apples was taken from a large consignment and found that 10% of them are bad. The supplier claims that only 2% are bad. Test his claim.The experiment is to toss two balls into four boxes in such a way that each ball is equally likelyto fall in any box. Let X denote the number of balls in the first box.a. What is the CDF of X?