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Let X denote the number of heads than occur when four coins are tossed at random....

Let X denote the number of heads than occur when four coins are tossed at random. Under the assumptions that the four coins are independent and the probability of heads on each coin is 1/2,X is B(4,1/2). One hundred repetitions of this experiment results in 0,1,2,3, and 4 heads being observed on 7,18,40,31, and 4 trials, respectively. Do these results support the assumption that the distribution of X is B(4,1/2)?

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