Q4. The number of items handed in to the Lost Property Office of a busy railway station each day is a Poi(16) random variable on
Q4. The number of items handed in to the Lost Property Office of a busy railway station each day is a Poi(16) random variable on a weekday (Monday to Friday), a Poi(22) random variable on a Saturday and a Poi(10) random variable on a Sunday. The numbers of items handed in to the office on different days are independent. Use a Normal approximation to find the approximate probability that no more than 100 items in total are handed in to this Lost Property Office next week (Sunday to Saturday, inclusive): Enter your answers as decimal numbers (4 decimal places are sufficient). The required probability is
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