1)What does the Empirical Rule say?    2). Can you use the Empirical Rule for ALL probabilities in a normal distribution? Why?    3). Describe the other method that you use for finding probabilities (area under the normal curve). If you use desmos, describe that. If you use a graphing calculator, describe that.    4). What is a percentile? In probability notation, how would you find the 85th percentile?

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The would not be viewed as having a probability distribution? deterministic factors input factors output variables simulation method

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Consider the joint probability distribution on the right. a) What is P(A = false)? Show your work. b) What is P(A=true or B=true)? Explain. c) What is P(A=true|C=false)? d) Are A and C independent? Why?

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. Prove the validity of following argument using inference rules.                   “If I belong to BSCS-6 then I am enrolled in AI Course. If I am enrolled in AI course then I am taking AI exam. If I have watched AI videos then I can get good grade. I belong to BSCS-6 and I have not watched AI videos. Therefore I am taking AI exam and I can get good grade”

Question 16 Find the critical z-value(s) for a hypothesis test given: a = 0.05 two-tailed test O 1.27 and -1.49 O 2.89 O 2.58 and -2.58 O +1.96 and -1.96 O 1.00 and -1.00

Inference Given the premises: If the steak is well done, it’s overcooked. If the steak is overcooked, the fire alarm will go off. Either the batteries have been changed or the fire alarm will not go off. The batteries have only been changed if the ladder is in the room. The ladder is not in the room. Conclude that the steak is not well done. These premises don’t make sense in the real world. Why? How can you change the premises so that they make sense in the real world? (They don’t have to end up perfectly correct, but they need to avoid the obvious problems you uncover in part B.)