Normal Probability Curve

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

• 165

• 166

• 170

• 162

The center of the curve represents what value of a data set?

• μ

• δ

• Σ

• Ζ

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%

• 68%

• 95%

• 99.7%

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%

• 68%

• 95%

• 99.7%

What's the probability x < 13?

(Mean = 10, Variance = 4)

• 0.9332

• 0.2266

• 0.7734

• 0.0668

Which of the following are the properties of a Normal Probability Distribution.

• The distribution curve is bell - shaped.

• The curve is symmetric about its center, the mean.

• The mean, the median, and the mode coincide at the center.

• The area under the curve is 1 or 100%

• The tails of the curve is asymptotic to the base line.

TRUE or FALSE: The standard normal distribution of a random variable is a normal distribution with mean =0 and standard deviation =1.

• TRUE

• FALSE

TRUE or FALSE: The area that corresponds to z = 2.58 is the same as the area that corresponds to z = -2.58, which is A = 0.4951

• TRUE

• FALSE

What is the probability that the value of a standard normal random variable z lies between 0 and 1.28?

(a)  

What is the shape of a Normal Probability Distributions?

• bar

• bell

• circle

• line

Answer explanation