A fair coin is tossed 100 times. Using the normal approximation to binomial distribution, we would like to estimate the probability that the number of heads is at most 56. Which one below approximates this probability best? (Z denotes a standard normal random variable.)
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Suppose we have a biased coin with a probability of landing on heads being 0.3085. Now you toss it 50 times (assuming all 50 tosses are independent) and want to use the Normal distribution to approximate the probability of getting 25 or more heads. Which of the following is/are CORRECT? The probability can be approximated by F(Z) or Vios. The approximated probability turns out to be 0.001695 using the cumulative standard normal distribution table (i.e. the Z-table). The conditions for approximating the probability using the Normal distribution are satisfied.
David N.
.(a) If a fair coin is tossed 50 times, use the normal curve to approximate the probability that the number of heads is between 23 and 27 inclusive. (Hint. Central Limit Theorem, Normal approximation to the binomial distribution). (b)If a fair coin is tossed 50 times, use the normal curve to approximate the probability that the number of heads is between 23 and 27 exclusive. (Hint. Central Limit Theorem, Normal approximation to the binomial distribution).
Ramesh R.
Find the indicated probability of the standard normal random variable $Z$. $$P(Z<-0.61)$$
The Normal Probability Distribution
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