Question

2- 10 pts.)Choose the correct answer(Write down the correct answer letter AND value at your answer booklet- For Non-of-the-above choice, write down the correct answer.) 5 , a standard deviation σχ (C) | If random variable X has a mean μΧ 2, and Y-4-2X then: a. (B) μ,--8 and σ r= 6 (E))one of the above μ,--4 and σ,-16 VARE4-1).HARRI, (4)(4).ls, (A) μ,--6 and ơr" 16 -6an dơ,-8 l p b. 1ss2 if a random variable X has a PDF fX(x)-2(x-1) 0 elsewhere ' then EX) isz 2XXA (B) 4/5 (C) 3/5 E) none of the above independent, A and B are disjoint, P(AUC)-2/3, P(BUC)-3/4, P(AUBUC)-11/ 12, then 5/3 (D) 5/4 2p For three events A, B, and C, we know that A and C are independent, B and C are c. PCA),P(B), and P(C) are respectively given by:(A) (B)İİİC), , , mutually (E) none of the above d. If the continuous random variable X is uniformly distributed with a mean of 45 and a variance of 75. The probability that X lies between 40 and 50 is: (A) 14 (B) 2/3 (C) 1/3 You purchase a certain product. The manual states that the lifetime T of the product, (E) none of the above e. s the amount of time (in years) the product works properly until it breaks down, satisfies the following rule: P(T 2t)efor t 0. What is the probability (rounded to nearest thousandth) that this device hreaks down during the third year? r^ , ni (A) 0.122(B) 0.549 -Sİ CLo.ishin 0.67(E) none of thc ahova

With explanation please.

Answer 1

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