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Question 1 :

In professional tennis, the length of time that the strings of a tennis racquet last is distributed uniformly anywhere from 5 to 30 days.

Calculate the probability that the strings last longer than 10 days but less than 20 days.

Round your answer to 2 digits after the decimal.

Question 2 :

in professional tennis, the length of time that the strings of a tennis racquet last is distributed uniformly anywhere from 5 to 30 days.

Given that the strings are still not broken on day 15 since they were strung,

what is the probability that the strings will not break for at least another 10 days?

Round your answer to 2 digits after the decimal.

Question 3 :

In professional tennis, the length of time that the strings of a tennis racquet last is distributed uniformly anywhere from 5 to 30 days.

Out of 50 professional tennis players, what is the probability that at least half of them end up having their strings broken within the first 20 days of the strings usage? Assume that the intensities with which the tennis players use their racquets are independent of each other.

Round your answer to 3 digits after the decimal.