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I need help on how to set up the following word problems into statistical distributions that I can then use my calculator to solve. (see

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I need help on how to set up the following word problems into statistical distributions that I can then use my calculator to solve. (see attached screenshots)?

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E. Runners in an athletics club have season's best times for the 100 m, which can be modelled by a normal distribution with mean 11.6 seconds and standard deviation 0.3 seconds. To qualify for a particular competition a runner must have a season's best time of under 11 seconds. A runner from this club who has qualified for the competition is selected at random. Find the probability that he has a season's best time of under 10.? seconds. [6 marks} 1a. Timmy owns a shop. His daily income from selling his goods can be modelled as a normal distribution, with a mean daily income of 582$, and a standard deviation off-230. To make a profit, Timmy's daily income needs to be greater than $1000. Calculate the probability that, on a randomly selected day, Timmy makes a prot. [2 marks] 7b. The shop is open for 24 days every month. [3 marks] Calculate the probability that, in a randomly selected month, Timmy makes a prot on between 5 and 10 days {inclusive}. 3a. It is known that 56 $6 of Inglow batteries have a life of less than 16 hours, and 94 96 have a life less than 1? hours. It can be assumed that battery life is modelled by the normal distribution ijx, (:2). Find the value oft; and the value of CF. {6 marks} 8h. Find the probability that a randomly selected lnglow battery will have a life of at least 15 hours. [2 marks]

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