Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:55 p.m. Lindsay's late arrival time, in minutes, represented by ?X, models a uniform distribution between 10 and 55 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places. Height = Calculate the probability that Lindsay is late by 30 min or less, ?(?≤30)P(X≤30). Provide your answer with precision to three decimal places. ?(?≤30) =

Question
Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:55 p.m. Lindsay's late arrival time, in minutes, represented by ?X, models a uniform distribution between 10 and 55 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places.
Height =
Calculate the probability that Lindsay is late by 30 min or less, ?(?≤30)P(X≤30). Provide your answer with precision to three decimal places.
?(?≤30) =
 

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