Finding Values in Normal Distribution

What is the first step in finding a value given a probability in a normal distribution?

• Refer to the standard normal distribution table

• Draw the graph

• Convert to standard normal distribution

• Determine the inequality sign

How is the standard deviation related to the variance in a normal distribution?

• It's the square root of the variance

• It's twice the variance

• It's the variance squared

• It's half of the variance

What does a probability of 0.1515 indicate about the region of interest on the graph?

• It's a small region on the right end of the graph

• It's a large region covering more than half of the graph

• It indicates a region in the middle of the graph

• It's a small region on the left end of the graph

How do you convert a normal distribution to a standard normal distribution?

• Divide by the mean

• Add the mean and multiply by the variance

• Subtract the mean and divide by the standard deviation

• Multiply by the standard deviation

In the context of normal distribution, what does converting to a 'standard normal distribution' help with?

• It allows for direct comparison between different distributions

• It eliminates the need for a table

• It changes the shape of the distribution

• It simplifies the graph drawing process

For a probability of 0.1711, which side of the graph does the region of interest lie?

• Right end

• Middle

• Cannot be determined

• Left end

What does a negative value of M indicate in the context of finding specific values in a normal distribution?

• The value is an outlier

• The value lies on the right end of the graph

• The value lies on the left end of the graph

• The calculation was incorrect

What role does the inequality sign play in determining the region of interest on the graph?

• It indicates the direction of the tail

• It specifies the exact value to find

• It has no significant role

• It determines the color of the graph

What is the correct approach when the given probability exceeds the maximum in the standard normal distribution table?

• Use the complementary region

• Double the probability value

• Ignore the excess probability

• Use a different table

What is the value corresponding to a probability of 0.209 in the standard normal distribution table?

• 1.03

• 0.95

• 0.81

• 0.90