1) Whatis the probability that the random variable X is in the interval between the values c and d?

2) The average weight of 3-years old cats of the same breed varies from 6 to 11 lb (sample space 6-11) and follows the uniform distribution.

a. Suppose, that the cat already weight 8 lb, find the new sample space for the conditional probability

b. Find the conditional probability, that the cat will weight more than 10 lb, given that he already weights 8 lb. Round your answer to the nearest hundredth.

3)The average weight of 3-years old cats of the same breed varies from 6 to 11 lb and follows the uniform distribution.

a. Find the theoretical mean

b. Find the st. deviation

c.Find the 60th percentile for a weight?

Round your answer to the nearest tenth.

4)The presentation time of 120 first grade students varies from 0 to 12 minutes (sample space 0-12) and follows the uniform distribution.

a. Suppose, that the student already presented for 3 minutes, find the new sample space for the conditional probability

b. Find the conditional probability, that the student will present for more than 8 minutes, given that he already presented for 3 minutes. Round you answer to the nearest hundredth

5)The waiting time of 100 of store customers varies from 0 to 10 minutes and follows the uniform distribution.

a. Find the theoretical mean

b. Find the st. deviation, round your answer to the nearest tenth

c.What is the probability that a randomly chosen customer waits between five and six minutes?

Round your answer to the nearest tenth.