5.2 Normal Distributions: Finding Probabilities

The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle’s weight is less than 24 pounds.

• 0.3694
• 0.3781
• 0.0912

The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle’s weight is between 23 and 26 pounds.

• 0.3694
• 0.3781
• 0.0912

The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle’s weight is more than 29 pounds.

• 0.3694
• 0.3781
• 0.0912

Tags

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.ID.A.4

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 less than 30.

• 0.0295
• 0.00000005
• 0.3209
• 4.32

Tags

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.ID.A.4

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. Find the probability that the randomly picked Toyota Camry will have a breaking distance less than 145 feet.

• 0.4559
• 0.0186
• 0.2244
• 2.3

Tags

CCSS.HSS.ID.A.4