Professor Yang surveys her students and concludes that 30% is the probability that a student has passed at least one actuarial exam (AE). Professor Ho does not think that this survey is representative of a random sample of 20 actuarial students. After surveying more students, he determines a probability function, (0.01, Pr (H = n) = {0.04 , n = 0 n = 1 k. Pr (Y = n), n = 2, 3, ... , 20 where H and Y refer to the number of students that have passed at least one AE, from a sample of 20, based on Professor Ho's and Professor Yang's analyses, respectively. Based on Professor Ho's conclusion, find the expected number of students out of a sample of 20 who have passed at least one AE.

The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)

What is the probability of b and c

Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?

Question 7 According to the data, the weight of a randomly selected checked-in luggage has a normal distribution with a mean of 51 lbs and a standard deviation of 9 lbs. Let X be the weight of a randomly selected checked-in luggage and let S be the total weight of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters and o: X~ Select an answer (μ = Select an answer unknown X² B N T 2. Use the Central Limit Theorem and find the probability that the weight of a randomly selected checked-in luggage is less than 61 lbs. (Round the answer to 4 decimal places) Check-In Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown S~ Select an answer (s= Select an answer σ= to describe the…

The time it takes me to ride my bike to school is uniformly distributed between 27 minutes and 36 minutes What is the probability that I can ride my bike to school in under 35 minutes? Give your answer accurate to two decimal places.