Unit 8 Practice

If a dataset is normally distributed with mean 50 and standard deviation 5, what is the left-tail area for the value 57? In other words, what proportion of data in the set is below 57?  Initialize the value of 'leftTail' below.

If a dataset is normally distributed with mean 100 and standard deviation 8, what is the area between 105 and 110? In other words, what proportion of data in the set is between 105 and 110?  Initialize the value of 'middle' below.

Suppose a dataset is normally distributed with mean 70 and standard deviation 11.  What score in the dataset is at the 90th percentile?  This is the score X such that 90% of the scores in the dataset are less than X.  Initialize the value of 'x' below.

Suppose a dataset is normally distributed with mean 70 and standard deviation 11.  Between what two scores 'x1' and 'x2' contain the middle 70% of the dataset.  Initialize the value of 'x1' and 'x2' below.

Suppose we were to roll a fair die 5 times. What is the probability we would obtain a "6" exactly one time?  The value for 5C1 = 5.

Appropriately initialize the value for 'binomialpdf' below.

Suppose we have a 70% chance of winning a certain game of chance.  We plan to play the game 12 times.  What is the probability we win exactly 8 games?  12C8 is 495.

Appropriately initialize the value for 'binomialpdf' below.

What is the mean of X?  Appropriately initialize the value of 'mean' below.

What is the standard deviation of X?  Appropriately initialize the value of 'sd' below.

What is the mean and standard deviation of Y? Appropriately initialize the values of 'mean' and 'sd' below that represent the mean and standard deviation of Y.