2. Suppose that the random variable, X, is a number on the biased die and the p.d.f. of X is as shown below, 1 2. 3 4 6. P(X-x) 1/6 1/6 1/5 k 1/5 1/6 a) Find; (1) (i) the value of k E(X) E(X) (1) (iv)...

2. Suppose that the random variable, X, is a number on the biased die and the p.d.f. of X is as<br>shown below,<br>1<br>2.<br>3<br>4<br>6.<br>P(X-x)<br>1/6<br>1/6<br>1/5<br>k<br>1/5<br>1/6<br>a) Find;<br>(1)<br>(i)<br>the value of k<br>E(X)<br>E(X)<br>(1)<br>(iv)<br>Var(X)<br>(v)<br>P(1 £X <5)<br>(c) If events A and B are such that they are independent, and P(A) = 0.3 with P(B) =0.53;<br>Find P(A n B) and P(AUB)<br>Are A and B mutually exclusive? Explain<br>11.<br>(d) In how many ways can the letters of the word STATISTICS be arranged?<br>

Extracted text: 2. Suppose that the random variable, X, is a number on the biased die and the p.d.f. of X is as shown below, 1 2. 3 4 6. P(X-x) 1/6 1/6 1/5 k 1/5 1/6 a) Find; (1) (i) the value of k E(X) E(X) (1) (iv) Var(X) (v) P(1 £X <5) (c)="" if="" events="" a="" and="" b="" are="" such="" that="" they="" are="" independent,="" and="" p(a)="0.3" with="" p(b)="0.53;" find="" p(a="" n="" b)="" and="" p(aub)="" are="" a="" and="" b="" mutually="" exclusive?="" explain="" 11.="" (d)="" in="" how="" many="" ways="" can="" the="" letters="" of="" the="" word="" statistics="" be="">

Jun 04, 2022

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2. Suppose that the random variable, X, is a number on the biased die and the p.d.f. of X is as shown below, 1 2. 3 4 6. P(X-x) 1/6 1/6 1/5 k 1/5 1/6 a) Find; (1) (i) the value of k E(X) E(X) (1) (iv)...

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