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This is the 3rd tme I post this question and they copy and past the same wrong answer. Please, help me to get them correct this time. Thanks

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Student scores on Professor Combs' Stats final exam are normally distributed with a mean of 76 and a standard deviation of \( 7.1 \) Find the probability of the following: **(use 4 decimal places) \( { }^{* \star} \) a.) The probability that one student chosen at random scores above an 81. b.) The probability that 20 students chosen at random have a mean score above an 81 . c.) The probability that one student chosen at random scores between a 71 and an 81. d.) The probability that 20 students chosen at random have a mean score between a 71 and an 81 .
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 49 ounces and a standard deviation of 3 ounces. Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions. a) \( 95 \% \) of the widget weights lie between and b) What percentage of the widget weights lie between 40 and 55 ounces?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 35 ounces and a standard deviation of 10 ounces. Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions. a) \( 95 \% \) of the widget weights lie between and b) What percentage of the widget weights lie between 25 and 55 ounces?| \( \% \)