Question
1.The combined SAT scores for the students at a local high school are normally distributed with a mean of 1486 and a standard deviation of
1.The combined SAT scores for the students at a local high school are normally distributed with a mean of 1486 and a standard deviation of 294. The local college includes a minimum score of 1692 in its admission requirements.
What percentage of students from this high school earn scores that fail to satisfy the admission requirement?
P(X< 1692) =__________
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.
2.The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 14 days.
What percentage of pregnancies last fewer than 266 days?
P(X< 266 days) =______
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.
3.A particular fruit's weights are normally distributed, with a mean of 732 grams and a standard deviation of 7 grams.
The heaviest 16% of fruits weigh more than how many grams?
Give your answer to the nearest gram.
4.A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.5 years, and standard deviation of 1.1 years.
The 5% of items with the shortest lifespan will last less than how many years?
Give your answer to one decimal place.
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