Question: What is the value of x for the normal approximation to a binomial experiment with 50 trials and a 40% likelihood of success for any

  1. What is the value of x for the normal approximation to a binomial experiment with 50 trials and a 40% likelihood of success for any given trial?
  2. The normal approximations to two binomial experiments are compared. Both have 20 trials, but the first have p=0.4 and the second has p=0.7. Which statement is not true?

a) the highest point for the first distribution is found above x=8

b) the normal approximation is a closer fit to the actual binomial distribution for the second experiment than for the first

c) both binomial distributions may be approximated by a suitable normal distribution

d) the first distribution is more symmetrical than the second

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