1) A person puts inside a hat 30 slips of paper with the numbers 1 to 30 printed on each slip. The hat is shaken vigorously and a slip of paper is….

1) A person puts inside a hat 30 slips of paper with the numbers 1 to 30 printed on each slip. The hat is shaken vigorously and a slip of paper is chosen. What is the probability that the number on the slip is less than 10 or greater than 20?

You can also write the answer as an unreduced fraction.

2) A person puts inside a hat 30 slips of paper with the numbers 1 to 30 printed on each slip. The hat is shaken vigorously and a slip of paper is chosen. You are told that the number chosen is odd. What is the probability that the number is less than 15?

Enter answer as a fraction or round to four decimal places.

3) Let the variable X be normally distributed such that µ = 50 and σ = 10.

Calculate the probability P(X ≥ 40 AND X ≤ 70).

Round to four decimal places.