Normal Distributions Finding Probabilities

The test scores for the exam in statistics class have a mean of 78 points and standard deviation of 9 points. A student is randomly selected. Assuming the scores are normally distributed find the probability that the score is more than 95. 

• 0.0295

• 0.00000005

• 0.3209

• 4.32

The test scores for the exam in statistics class have a mean of 78 points and standard deviation of 9 points. A student is randomly selected. Assuming the scores are normally distributed find the probability that the score is between 80 and 90.

• 0.0295

• 0.00000005

• 0.3209

• 4.32

Assume that the mean annual consumption of chocolate is normally distributed with a mean of 5.2 pounds per person and a standard deviation of 1.9 pounds per person. What percent of people annually consume less than 2.7 pounds per year?

• 0.0941

• yes

• no

• 64.32

Assume that the mean annual consumption of chocolate is normally distributed with a mean of 5.2 pounds per person and a standard deviation of 1.9 pounds per person. In a group of 150 people, about how many consume between 4.5 and 6.7 pounds of chocolate per year?

• 50.53

• yes

• no

• 64.32

Assume that the mean annual consumption of chocolate is normally distributed with a mean of 5.2 pounds per person and a standard deviation of 1.9 pounds per person. In a group of 150 people, about how many consume more than 6 pounds?

• 50.53

• yes

• no

• 64.32

The test scores for the exam in statistics class have a mean of 78 points and standard deviation of 9 points. A student is randomly selected. Assume the scores are normally distributed. If there are 70 students in that class, about how many will receive between 90 and 95 points?

• 0.0295

• 0.00000005

• 0.3209

• 4.32

Toyota Camry: Breaking distance on a wet surface is normally distributed with a mean of 149 ft. and a standard deviation of 5.28 ft. Find the probability that the randomly picked Toyota Camry will have a breaking distance between 140 and 149 feet.

• 0.4559

• 0.0186

• 0.2244

• 2.3

Toyota Camry: Breaking distance on a wet surface is normally distributed with a mean of 149 ft. and a standard deviation of 5.28 ft. Find the probability that the randomly picked Toyota Camry will have a breaking distance more than 160 feet.

• 0.4559

• 0.0186

• 0.2244

• 2.3

Toyota Camry: Breaking distance on a wet surface is normally distributed with a mean of 149 ft. and a standard deviation of 5.28 ft. If 90 Toyota Camries are randomly selected, about how many of those vehicles have a breaking distance less than 138 ft or more than 162?

• 0.4559

• 0.0186

• 0.2244

• 2.3