A cup of coffee usually ___________ drowsiness and keeps one awake.IncredibleUntrustworthyFickleTraitorous Credible
Question
A cup of coffee usually ___________ drowsiness and keeps one awake.IncredibleUntrustworthyFickleTraitorous Credible
Solution
The correct answer is "Incredible". The sentence would read: "A cup of coffee usually incredible drowsiness and keeps one awake."
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iva loves coffee but her nurse friend recommended reducing her coffee intake and she decided to do it by using a fair 10-sided die to determine her coffee intake according to the following simple model. If she drank coffee yesterday then she will drink any other hot drink (no-coffee) today if she rolls a seven or less, otherwise she will drink coffee. If she drank no-coffee yesterday then she will drink no-coffee today if she rolls a six or more, otherwise she will drink coffee. Let Cn be the event that she drinks coffee on the nth day and Nn be the event that she drinks no-coffee on the nth day. (a) Using the information given, write down the value of these probabilities P (Cn | Cn−1), P (Cn | Nn−1), P (Nn | Cn−1) and P (Nn | Nn−1). [2 marks] (b) Suppose Siva drinks no-coffee on day 1, that is, P(N1) = 1. i. What is the probability that Siva drinks no-coffee on day 2? [1 mark] ii. What is the probability that Siva drinks coffee on day 2? [1 mark] iii. Find P(C3 ∩ C2) and P(C3 ∩ N2). [2 marks] iv. What is the probability that Siva drinks coffee on day 3? [1 mark] v. Suppose Siva drinks coffee on day 3. What is the probability that she drank no-coffee on day 2?
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