Find the mean pi and standard deviation 0 for a binomial distribution with n = 100 and the following values of p. [Round your answers to two decimal places.) (a) p = 0.01 pa = 0.01 X a = 0.01 x {b} p = 0.9 ,u = 0.9 x a = 0.03 x (C) p = 0 4 ,u = 0.4 X a = 0.05 X (d) P = -6 ,u = 0.5 X a = 0.0489 x (e) p = 0 5 ,u = 0.5 x a = 0.05 X Car colour preferences change over the years and according to the particular model that the customer selects. In a recent year, 10% of all luxury cars sold were black. If 25 cars of that year and type are randomly selected, find the following probabilities. (Round your answers to three decimal places.) (a) At least five cars are black. 0.098 (b) At most seven cars are black. 0.0998 X (c) More than four cars are black. 0.098 (d) Exactly four cars are black. 0.138 (e) Between three and five cars (inclusive) are black. 0.430 (f) More than 21 cars are not black. 0.764Seeds are often treated with a fungicide for protection in poor-d raining, wet environments. In a small-scale trial prior to a large-scale experiment to determine what dilution of the fungicide to apply, four treated seeds and five untreated seeds were planted in clay soil and the number of plants emerging from the treated and untreated seeds were recorded. Suppose the dilution was not effective and only four plants emerged. LetX represent the number of plants that emerged from treated seeds. (Round your answers to three decimal places} (a) Find the probability thatX - 4. \"x )Find P( X