A jar of peanut butter contains, on average, 512 grams with a standard deviation

Question

A jar of peanut butter contains, on average, 512 grams with a standard deviation of 10 grams. Assuming a normal distribution, a) What percentage of peanut butter falls within 2 standard deviation? b) How many grams of peanut butter fall within 2 standard deviation? c) What percentage of peanut butter falls within 3 standard deviation? d) How many grams of peanut butter fall within 3 standard deviation? Answer a) __________ Answer b) __________ Answer c) __________ Answer d) __________ The Bear's Basketball team's point guard makes 84% of her free throw attempts during one season. What is the probability the she will make at least 13 of 15 attempted free throws? Answer 2) _________ A fair die is rolled 5 times. What is the probability that more 1 or 2s show than numbers greater than 2? Answer 3) _________

Explanation / Answer

1. a) 95%

b) Grams of peanut butter falls under 2 standard deviation

= (512 - 2*10, 512 + 2*10)

= (492, 532)

So,

492 gram to 532 gram of peanut butter falls under 2 standard deviation.

c) 99.7%

d) Grams of peanut butter falls under 2 standard deviation

= (512 - 3*10, 512 + 3*10)

= (482, 542)

So,

482 gram to 542 gram of peanut butter falls under 3 standard deviation.

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