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I need answer with explanation in details Please. (some of them will need Excell so please share with me spreadsheet, I need to know the

I need answer with explanation in details Please. (some of them will need Excell so please share with me spreadsheet, I need to know the basic formulas if required so I can implement it by myself in future

1)

If the length of time that the battery in Lema's cell phone will hold enough charge to operate acceptably is normally distributed with mean 25.6 hours and standard deviation 0.32 hour. Lema forgot to charge her phone yesterday, so that at the moment she first wishes to use it today it has been 26 hours 18 minutes since the phone was last fully charged.

what the probability that the phone will operate properly using excel .

2)

Suppose that the number of pounds a person loses on a certain diet is a random variable that follows a normal distribution with a mean of 20 pounds and a standard deviation of 3 pounds.

(a)What is the probability that a person loses at least 21 pounds?

(b) How to Convert the probability question in part (a) into an equivalent probability question about a standard normal random variable [Z ~ N(0, 1)].(please let me know the answer with detailed steps / explanation)

(c)Ifa statement of the following form is desired: "95% of people on this diet lose between 20 e pounds and 20 + e pounds". What is the value of e?

(d)Suppose that 36 random people follow this diet. What is the probability that the average number of pounds lost by the whole group is at least 21 pounds?

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