Normal Distributions

Following a normal distribution the mean wingspan of a hummingbird is 3.5 mm with a standard deviation of 0.76 mm. What percent of hummingbirds have wingspans between 3.4 and 4.1 mm?

• 33.74%

• 43.72%

• 40.13%

• 67.52%

Tags

CCSS.HSS.ID.A.4

The amount of rainfall per year in Houston is normally distributed with a mean of 14.6 in and a standard deviation of 3.2 in. What percent of years will have rainfall less than 15 in?

• 98.61%

• 54.97%

• 16.3%

• 43.58%

Tags

CCSS.HSS.ID.A.4

The mean amount of sodium in a serving of picante sauce is 250 mg with a standard deviation of 41 mg (normally distributed). What percent of picante sauce servings will have between 245 and 300 mg of sodium?

• 33.74%

• 40.13%

• 67.52%

• 43.72%

Tags

CCSS.HSS.ID.A.4

The mean baking time of an angel food cake is 41 minutes with a standard deviation of 5 minutes (normally distributed). What percent of angel food cakes take longer than half an hour to bake?

• 54.97%

• 16.3%

• 98.61%

• 43.58%

Tags

CCSS.HSS.ID.A.4

The thumb length of adult females is normally distributed with a mean of 4.6 cm and a standard deviation of 1.4 cm. What percent of women have thumb lengths between 3.9 cm and 4.5 cm?

• 16.3%

• 18.5%

• 6.35%

• 60.29%

Tags

CCSS.HSS.ID.A.4

The length of a common garter snake is normally distributed with a mean length of 12.46 in and a standard deviation of 2.51 in. What percent of garter snakes are less than 13.6 inches in length?

• 11.68%

• 9.41%

• 67.52%

• 73.2%

Tags

CCSS.HSS.ID.A.4

The volume of soda cans is normally distributed with a mean of 12 oz and a standard deviation of 0.11 oz. What percent of cans have between 11.9 and 12.15 oz of soda?

• 11.68%

• 73.2%

• 9.41%

• 67.52%

Tags

CCSS.HSS.ID.A.4

The mean life of a 50 watt light bulb is 175 hours with a standard deviation of 21 hours (normally distributed). Over what life (in hours) would the longest 15% of lightbulbs fall?

• 153.23 hours

• 98.61 hours

• 471.88 hours

• 196.77 hours

The mean calories of a serving of pie at Luby's is 436 cal with a standard deviation of 28 cal (normally distributed). How many calories would mark the top 10% most caloric?

• 400.12 cal

• 116.8 cal

• 196.76 cal

• 471.88 cal

Tags

CCSS.HSS.ID.A.4

The circumference of a Fuji apple is normally distributed and has a mean of 10.4 cm and a standard deviation of 1.9 cm. What is the circumference of a Fuji apple at the third quartile?

• 11.68 cm

• 9.41 cm

• 7.32 cm

• 16.3 cm