Please round your answer to 3 decimal points. A continuous random variable X has the following PDF:
Osxs 2
f(x)
0
otherwise
(a) Find the value of k to make f(x) a legitimate probability density function.
={*{(x - 23]
(b) What is the probability that X is smaller than 1.3?
(c) Find the mean of X.
(d) Find the variance of X.
(e) What is the probability that X is within 0.3 of its mean?

Read this excerpt from helen keller’s autobiography, the story of my life. have you ever been at sea in a dense fog, when it seemed as if a tangible white darkness shut you in, and the great ship, tense and anxious, groped her way toward the shore with plummet and sounding-line, and you waited with beating heart for something to happen? i was like that ship before my education began, only i was without compass or sounding-line, and had no way of knowing how near the harbour was. "light! give me light! " was the wordless cry of my soul, and the light of love shone on me in that very hour. . the morning after my teacher came she led me into her room and gave me a doll. the little blind children at the perkins institution had sent it and laura bridgman had dressed it; but i did not know this until afterward. when i had played with it a little while, miss sullivan slowly spelled into my hand the word "d-o-l-l." i was at once interested in this finger play and tried to imitate it. when i finally succeeded in making the letters correctly i was flushed with childish pleasure and pride. running downstairs to my mother i held up my hand and made the letters for doll. i did not know that i was spelling a word or even that words existed; i was simply making my fingers go in monkey-like imitation. in the days that followed i learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. based on this excerpt, which words best describe helen keller?

Use a software program or a graphing utility with matrix capabilities to solve the system of linear equations using an inverse matrix. x1 + 2x2 − x3 + 3x4 − x5 = 6 x1 − 3x2 + x3 + 2x4 − x5 = −6 2x1 + x2 + x3 − 3x4 + x5 = 3 x1 − x2 + 2x3 + x4 − x5 = −3 2x1 + x2 − x3 + 2x4 + x5 = 5

Austin rare coins, inc., buys and sells rare coins, bullion, and other precious metals through eight web sites with different domain names. an unknown individual took control of austin's servers and transferred the domain names to another registrant without austin's permission. the new registrant began using the domain names to host malicious content—including hate letters to customers and fraudulent contact information—and to post customers' credit-card numbers and other private information, thereby tarnishing austin's goodwill. austin filed a suit in a federal district court against the new registrant under the anticybersquatting consumer protection act. is austin entitled to a transfer of the domain names? austin rare coins, inc., buys and sells rare coins, bullion, and other precious metals through eight web sites with different domain names