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2. A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The probability dis- tribution for

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2. A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The probability dis- tribution for this random variable is shown below. X O 2 4 P(X) 4 6 4 1 16 16 16 16 16 Which of the following statements is not true? a) The probability of no heads is the same as the probability of 4 heads b) The most likely outcome is 2 heads c) The expected value is 6/16 d) The probability of not tossing 2 heads is greater than the probability of tossing 2 heads

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