Consider the joint distribution table relating three random variables (A, B, and C) below. A B C P(A, B, C) True True True 0.01 True True False 0.015 True False True 0.03 True False False 0.045 False True True 0.09 False True False 0.135 False False True 0.27 False False False 0.405 Calculate the probability of p(A=False | C=True).

A coin is flipped 8 times in a row (assume all outcomes are equally likely). For each of the following questions, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. Q1.1 What is the probability that it lands on heads exactly four times?

most computer languages include a function that can be used to generate random numbers. in excel, the rand function can be used to generate random numbers between and . if we let denote a random number generated using rand, then is a continuous random variable with the following probability density function. a. select the probability density function. 1. 2. 3. 4. choose the correct graph from above: - select your answer - b. what is the probability of generating a random number between and (to 1 decimal place)? c. what is the probability of generating a random number with a value less than or equal to (to 1 decimal place)? d. what is the probability of generating a random number with a value greater than (to 1 decimal place)? e. using random numbers given below, compute the mean and standard deviation. 0.931806 0.398110 0.216843 0.826248 0.323101 0.235342 0.105300 0.203744 0.973537 0.181343 0.848380 0.602418 0.013789 0.495464 0.365786 0.027959 0.782500 0.232680 0.913043 0.689042…

Size of sample space A six-sided dice is rolled, a five-sided dice is rolled and a three-sided dice is rolled. Considering this as a probability experiment, what is the size of the sample space? An Event In the context of the probability experiment just described (a 6-sided, a 5-sided, and a 3-sided dice thrown): Consider the event in which two face- up numbers on the three dice add to 10. What is the size of this set? Save Reset