The college cafeteria finds that 41% of students will buy a dessert if it is properly advertised. The cafeteria manager is thinking of hiring an arts student to create a poster of a new apple and ice cream dessert, which could then be displayed at the front entrance to the cafeteria during the lunch hours. Normally, 710 students use the cafeteria during lunch time. What is the probability that more than 45% of the students will buy the apple and ice cream dessert? UseAppendix B.1for thez-values.(Round thez-value to 2 decimal places and the final answer to 4 decimal places.)

Probability