Normal Distribution IB SL Math Review

Shape of a normally distributed graph

• Bell Curve
• Bell Line
• Moon Curve
• Moon Line

Probability that a randomly selected, normally distributed value lies between 1 stdev below the mean and the mean.

• 31.43%
• 34.13%
• 33.41%
• 34.31%

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CCSS.HSS.ID.A.4

The weights of babies born at Cox Hospital last year average from 3.0 kg with a standard deviation of 200 grams. What percentage of babies weighed between 2.6 kilograms and 3.2 kilograms?

• 73.42%
• 60.23%
• 81.85%
• 85.33%

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CCSS.HSS.ID.A.4

A candy factory packages an average of 7500 chocolate bars a day with a stdev of 350. Assuming that production is normally distributed and the year comprises of 250 working days, calculate using a calculator the number of working days in which less than 7150 candy bars are packaged.

• 60
• 40
• 20
• 50

Tags

CCSS.HSS.ID.A.4

The heights of female students on a basketball team are normally distributed. Approximately 84% of the girls are taller than 157 cm and approximately 16% of the girls are taller than 177 cm. Find the mean and stdev.

• Mean=177, Stdev=4
• Mean=172, Stdev=5

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CCSS.8.EE.C.8C

CALC : X ~ N(10, 2.3²), find the probability P(8 ≤X≤11)

• 1.432
• 0.222

Tags

CCSS.HSS.ID.A.4

CALC : X is a random variable that is distributed normally with mean 70 and standard deviation 4. Find P(74≥X≥70)

• 0.315
• 0.135
• 0.341
• 0.431

Tags

CCSS.HSS.ID.A.4

CALC : X is a random variable that is distributed normally with a mean of 60 and a standard deviation of 5. Find P(X≤68)

• 0.967
• 0.985
• 0.945
• 0.955

Tags

CCSS.HSS.ID.A.4

CALC : The average weekly collection of a charity is approximately normally distributed with a mean of $40 and standard deviation of $6. What proportion of weeks would the charity expect to collect at least $50?

• 4.78%
• 4.87%
• 47.8%
• 48.7%

Tags

CCSS.HSS.ID.A.4

CALC: Peaches from a grower's crop were normally distributed with a mean of 173 grams and standard deviation of 34 grams. Peaches weighing less than 130 grams were too small to sell. Find the probability that in a picker's basket of 100 peaches, up to 10 were too small to sell.

• 0.544
• 0.455
• 0.545
• 0.454

Tags

CCSS.HSS.ID.A.4