7. (10%) Let Xand Y have a bivariate normal distribution with parameters , and ρ ＞ 0. If P(4 ＜Y ＜16|X = 5) = 0.954, determine ρ.

3. (10%) Suppose we are playing draw poker. We are dealt (from a well shuffled deck) 5 cards which contain 4 spades and another card of a different suite. We decide to discard the card of a different suite and draw one card from the remaining cards to complete a flush in spades (all 5 cards spades). Determine the probability of completing the flush.