Just parts e and f please

(i) Calculate P( EUF) (ii) Calculate P(FIE) (d) How many permutations of the letters of the word preternatural exist? (5 n What is the probability that a randomly chosen permutation contains the word laureate? (e) It is recommended to keep at least one house plant per 10m to help maintain good 5 m air quality. A survey of households living in terraced houses with a living area of 80 m finds that the average number of house plants kept per house is 5.5, with a standard deviation of 3.2. Use Chebyshev's inequality to get an upper bound for the probability of finding 8 or more plants in a house. (f) The number of customers that arrive at a branch of Ulster Bank is described by (5 ma a Poisson distribution with a mean of 3 customers per 5 minutes. If the branch opens 10 minutes late, what is the probability that a queue of 4 or more customers is already waiting