Suppose A and G are events in the same sample space for some experiment. If we know Pr[A] = 0.7 and Pr[G | A] = 0.2, determine Pr[AnG]. A. 5 B. 7 27 C. 0.14 D. 0.5 E. 0.9
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- Determine which of the following terms for probability are true or false (using a T or an F) 21. Studies randomness22. That it produces certainty23. Can be stated as a fraction or a decimal24. Is a prediction about a phenomenon25. Uses populations to analyze samplesSuppose C and D are events in the same sample space for some experiment. Suppose C occurs 34% of the time, D happens three out of ten times the experiment is run, and both events occur with probability 0.24. Determine Pr[Cº Dº]. A. 0.06 B. 0.60 OC. 0.36 O D. 0.40 O E. 0.10Suppose the probability of having blood type A is 0.10. Let X be the number of people with type A in the experiment of selecting one thousand random people. 1. The values of the random variable X is x = _____. A. {1, 2, …} B. {0, 1, 2, …} C. {1, 2, …, 1000} D. {0, 1, 2, …, 1000} 2. Which of the following is(are) correct? Then, explain whyI. The probability of each value of x is between 0 & 1II. The probability that one thousand people will have blood type B is 1 A. I onlyB. II onlyC. Both I and IID. Neither I nor II
- Chp 4 pt 1 Toss five fair coins and let x equal the number of tails observed. a. Identify the sample points associated with this experiment, and assign a value of x to each sample point. Then list all the possible values of x. b. Calculate p(x) for the values x=1 and x=4. c. Construct a probability histogram for p(x). d. What is P(x=1 or x=5)?Suppose that the response time X of a subject to a stimulus is N(15, 16). If n-16, then the probability of the sample mean greater than 12 is: a. 0.9772 Ob. 0.9987 Oc. 0.0013 Od. 0.7899Parts A, B, and C.
- For each p value stated below, what is the decision for each if α = .01? Assume that this is the total probability (two tails combined). 19a. p = .1000 a. Reject H0 b. Retain H0 19b. p = .0050 a. Reject H0 b. Retain H0 19c. p = .0250 a. Reject H0 b. Retain H0 19d. p=.0001 a. Reject H0 b. Retain H0Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5Q.2 Listed is a series of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whether the random variable is discrete or continuous. ilitu distrib blo llowe