For a randomly chosen adult staying in Condominium Merak, X represents the time, in minutes, spent per week exercising in the gym of the condominium. Y represents the time, in minutes, spent per week jogging in the open area. Xis modelled by Normal Distribution with mean 65 and variance 13, whereas Y is modelled by Normal Distribution with mean 32 and variance 5. Assuming that the time spent in gym is independent with the time spent in jogging. The total time spent working out per week for a randomly chosen adult staying in Condominium Merak is denoted by X+1.5Y. An adult staying in Condominium Merak is chosen at random. Find the probability that this adult spends more than 2 hours working out per week. Find the probability that this adult spends at least 30 minutes more on exercising in the gym of the condominium than jogging in the open area.

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For a randomly chosen adult staying in Condominium Merak,
X represents the time, in minutes, spent per week exercising in the gym of
the condominium.
Y represents the time, in minutes, spent per week jogging in the open area.
Xis modelled by Normal Distribution with mean 65 and variance 13, whereas
Y is modelled by Normal Distribution with mean 32 and variance 5.
Assuming that the time spent in gym is independent with the time spent in
jogging. The total time spent working out per week for a randomly chosen
adult staying in Condominium Merak is denoted by X+1.5Y. An adult staying
in Condominium Merak is chosen at random.
Find the probability that this adult spends more than 2 hours working out
per week.
Find the probability that this adult spends at least 30 minutes more on
exercising in the gym of the condominium than jogging in the open area.
Transcribed Image Text:For a randomly chosen adult staying in Condominium Merak, X represents the time, in minutes, spent per week exercising in the gym of the condominium. Y represents the time, in minutes, spent per week jogging in the open area. Xis modelled by Normal Distribution with mean 65 and variance 13, whereas Y is modelled by Normal Distribution with mean 32 and variance 5. Assuming that the time spent in gym is independent with the time spent in jogging. The total time spent working out per week for a randomly chosen adult staying in Condominium Merak is denoted by X+1.5Y. An adult staying in Condominium Merak is chosen at random. Find the probability that this adult spends more than 2 hours working out per week. Find the probability that this adult spends at least 30 minutes more on exercising in the gym of the condominium than jogging in the open area.
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