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A reseller of photography equipment wishes to set up in a shopping arcade. He estimates that he will be able to sell 110 cameras a
A reseller of photography equipment wishes to set up in a shopping arcade. He estimates that he will be able to sell 110 cameras a day and the sales are two to two independent. A study showed him that, among the different brands available, brand A accounts for 38.6% of the market. We denote by X the random variable which, on a given day, associates the number of brand A devices sold on that day. a) Explain why X follows a binomial distribution and specify the parameters of this distribution. b) Calculate the probability that, out of 110 devices sold per day, 25 are of brand A. c) Calculate the expectation and the standard deviation of X. Applying the appropriate approximation, answer the following questions: d) Calculate the probability that, on a random day, there are exactly 25 brand A devices sold. e) Calculate the probability of the event: "on a given day, at least 30 of the devices sold are of brand A" f) Determine a value for the probability of the event: "on a given day,the number of brand A devices soldis between 25 and 45". ( can u please help me out with this question and if it is possible tell me how to do it using excel formulas )
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