A coin tossed 200 times mean and standard deviation
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Answer:
mean 100
standard deviation 7.07 (approx)
Step-by-step explanation:
But what's the random variable? Are we counting heads maybe? That's a common exercise, so let's suppose that's what you meant....
If X is the number of heads when a coin is tossed 200 times, then X has a binomial distribution with n = 200 and p = the probability of getting a head.
Let's suppose the coin is meant to be a "fair" coin, so p = 0.5.
Then
mean X = n p = 200 × 0.5 = 100
sd X = √( np(1-p) ) = √( 200 × 0.5 × 0.5 ) = √50 ≈ 7.07
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