Find the area under the standard normal curve between 1z=2.01 and z=3.12. Round the solution to four decimal places, if necessary. Area =

Find the area under the standard normal curve between z=-1.07 and z=2.63. Round the solution to four decimal places, if necessary. Area =

Assume X is a normally distributed continuous variable with =65 and =15. Determine the following probability. Round the solution to four decimal places, if necessary. P(21

The 50 yard freestyle times of a college swim team are normally distributed with a mean of 24.23 seconds and a standard deviation of 2.91 seconds. Determine the probability that a randomly selected swimmer has a 50 yard freestyle time of 15.01 seconds or less. Round the solution to four decimal places, if necessary. P(x15.01)=

Student loan debt is a growing problem in the United States. According to Experian, each student borrower owes an average of $30,220. The standard deviation of the amounts all student borrowers owe is $2,680. Determine the probability that a randomly selected student borrow owes between $27,732 and $35,067 in student loans. Round the solution to four decimal places, if necessary. P($27,732

The speeds of all pitches thrown by the IRSC softball team are normally distributed with a mean of 62.25 miles per hour and a standard deviation of 3.5 miles per hour. Determine the probability that a randomly selected pitch has a speed of more than 74 miles per hour. Round the solution to four decimal places, if necessary. P(x>74)=

Determine the two values of z such that the middle 22% of the data lie between the two z-values. Round the solutions to two decimal places, as z-values are traditionally rounded. The middle 22% of the data lie between z= and z= .