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The binomial may also be approximated via the normal distribution. Estimate the following binomial probabilities using *dnorm()* or *pnorm()*, this time with probability p = 0.25 and n = 100. Then, calculate the same probabilities using *dbinom()* and *pbinom()*. Use continuity correction. Show the numerical results of your calculations. (iii) The probability of exactly 25 successes. "{r testlaiii} (iv) The probability of fewer than 20 successes. Please note the following, taken from the Normal Distribution R Documentation page, regarding the "lower. tail" argument: lower . tail logical; if TRUE (default), probabilities are P[X ??? x], otherwise, P[X x]. {r testlaiv}