Consider the population described by the probability distribution shown below. The random variable is observed twice with independerit obser X P(x) Sample 33 34 35 36 43 44 45 46 Full data set Probability 0.01 0.03 0.04 0.02 0.03 0.09 0.12 0.06 0.1 0.3 0.4 02 4 5 6 a. Complete the sampling distribution table. Type the x values in ascending order. 3.5 4 Sample 53 54 55 56 63 64 65 66 Probability 0.04 0.12 0.16 0.08 0.02 0.06 0.08 0.04 tiền 034 0.28 0.28 0.01 Probability (Type exact answers in simplified form) b. Construct a probability histogram for the sampling distribution of x Choose the correct probability histogram below. OA 5.5 OB. (0) c. What is the probability that x is 6 or larger? The obability that the sample mean is 6 or larger is OC. + 8.3 4.0

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