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- The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.1 and 50.2 min.P(50.1 < X < 50.2) =Let X be normally distributed with mean = 3.3 and standard deviation o=1.8. a. Find P(X> 6.5). Note: Round your final answer to 4 decimal places. P(X> 6.5) b. Find P(5.5 ≤ x ≤7.5). Note: Round your final answer to 4 decimal places. P(5.5 ≤ x ≤ 7.5)The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.6 and 51.7 min.P(51.6 < X < 51.7)
- Use only the Table for Binomial Distribution to find the following: a. P(x 26) for n=15, p=0.6 b. P(3(a) Consider a t distribution with 6 degrees of freedom. Compute P(-1.02<<1.02). Round your answer to at least three decimal places. P(-1.02<<1.02)= (b) Consider a t distribution with 17 degrees of freedom. Find the value of c such that P(2c)-0.10. Round your answer to at least three decimal places.The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.3 and 51.9 min.P(50.3 < X < 51.9) =The random variable X has a pdf f(x) = 5x 0≤x≤ 0.6325. What is the median of X 0.316 0.333 0.350 0.500 0.447 No answerThe lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.2 and 51.4 min.P(51.2 < X < 51.4) =The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.4 and 51.7 min.P(50.4 < X < 51.7) =The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.4 and 51.8 min.P(51.4 < X < 51.8) = Will you show your work pleaseToday, the waves are crashing onto the beach every 4.7 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.7 seconds. Round to 4 decimal places where possible. d. The probability that the wave will crash onto the beach between 1.7 and 3.5 seconds after the person arrives is P(1.7 < x < 3.5) = ? e. The probability that it will take longer than 2.44 seconds for the wave to crash onto the beach after the person arrives is P(x ≥≥ 2.44) = ? f. Find the minimum for the upper quartile. ? seconds