The probability that Chloe acts hungry at 7pm given that she has already eaten dinner is 0.5. The probability that Chloe acts hungry at 7pm given that she has not had dinner is 0.99. Assume that there is probability 0.9 that Chloe has eaten dinner by 7pm on a given day. a) (1 pt) If Chloe is acting hungry at 7pm, find the probability that she has not had dinner yet. b) (1 pt) If Chloe is not acting hungry at 7pm, find the probability that she has already had dinner.

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?