(a)(8%) Determine the joint p.d.f. of z and w.

(b)(4%) Find the probability that 8 is the largest number drawn.

6.(8%) We have three coins; the first two coins are fair and the last coin is two-headed. We pick one of the coins at random, and toss it twice. Heads show both times. Find the probability that the coin picked is fair.

 7.(8%) The random variable x is uniform in the interval [-5, 5]. Find C.D.F. Fy(y) and p.d.f. fy(y).

8.(10%) The joint p.df. of x and y for some k. Deter- mine the conditional p.d.f.

(b)(8%) Find the p.d.f. fz(z) and fw(w). Are z and w independent random variables?

⚫ IP 位址的主機識別碼是？

132.請將纜線用途與支援的最大纜線長度配對⚫ 10G BaseT 單一模式光纖:     ⚫40km⚫ 10G BaseT CAT6:                 ⚫55m⚫ 1000 BaseT CAT6:                ⚫100m⚫ 10G BaseT CAT5:                 ⚫100 m

⚫ IP 位址的主機識別碼是？

乙太網路介面卡的 IP 位址設定方式是？

一、請將以下文章翻譯成中文：(25%)        Shocks to supply chains are engulfing a wider swath of the global economy as the pandemic rages on, threatening to stifle Asia’s trade-led recovery just as soaring freight rates make it harder for businesses to weather another year like 2020.        Shortages of consumer goods like paper towels and work-from-home gear early in the COVID-19 crisis have given way to parts shortfalls in one of the most globally integrated of industries: auto manufacturing.        Compounding the industrial imbalances are transport woes plaguing consumer and healthcare sectors still dealing with a dearth of available shipping containers to move components and finished products out of China, Taiwan, South Korea and Asia’s other export powers.        Nerijus Poskus (奈瑞尤斯‧帕司克斯), vice president for global ocean at San Francisco-based freight forwarder Flexport Inc (飛協博), reckons the world needs the equivalent of 500,000 more 20-foot containers — roughly enough to fill 25 of the largest ships in operation — to satisfy the current demand. In the meantime, standard container rates on transpacific routes are quadruple what they were a year ago. And that is before equipment surcharges and premiums for guaranteed loading are added.         “Anyone paying the freight bills in 2020 though knows the true cost of shipping is much higher than even the recently increased rates,” Poskus (帕司克斯) said. “We expect that to only increase in 2021.”        The unstoppable rise in container shipping costs is borne out by December figures recently announced by Taiwan’s three major shipping companies — Evergreen Marine Corp, Yang Ming Marine Transport Corp and Wan Hai Lines Ltd — which saw a record-breaking year-on-year surge of revenue at 58.8 percent, 35.19 percent and 75.71 percent respectively.