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# KeyPage6 - 5 In a deck of cards al Are jacks and hearts...

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Unformatted text preview: 5. In a deck of cards, al Are jacks and hearts independent? Explain why mathematically. b} Are jacks and threes independent? M c] If you draw one card from the decltI are the events ”get the king of hearts” and "get the ﬁve of clubs"r mutually exclusive?I HE: dl If you draw two cards from the deck, are the events ”get the king of hearts" and “get the ﬁve of clubs" mutually exclusive? M D 's 7' ’5 ‘3 2b #1. a: 1 L _., —# ___= TesTeiviitTEitieL 59L S?x(F*—x)a1 -. ‘ﬁt-E-h ﬁt ‘5 x .. 2e [5 1 II 3 u ‘ E95}: S“; fiat-‘5 tell-h" %+§31= keg : '1': 1 “(r-J: Hi ): 9 l2 JD: 11mm] l {a} A continuous random variable x has a probability distribution: f(x}— _ gJr + 1—5 for 1 <1 J:_ <5 3 Find Efx}and ﬁx). 7 lb] Suppose z = 3x —1 Find E (a) and 'v' (z). 5(a): 3'13.— L11: 5 '-i Vite): Mop-i5 - ﬁves): alien); 31oz? Refer to the following joint probability distribution for turn discrete random variables, x and y: I E0): .2 i—Z(,i5)+ (ELLE) = 1‘15 96:) p h, is 1—,}; : .05 E4301) : -,2 "—15 412: __IS Courier) : eon) - Hoe”) : l3? 2 [al Compute Cov (I, y}. [blCompute pfx=2).p[y=ﬂr'ix=3], and p{x=3|y:ﬂ} ...
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