Statistics and Probability Answers

what is the probability that an athlete would clear a distance between 189-198 inches? if the average distance cleared by him during a large number of trail was 180 inches with standard deviation of 6 inches.

I have a homework problem that I am not sure I am answering correctly
750 workers were surveyed about where they had attended school. 480 of the workers surveyed had attended a community college. 420 of the workers surveyed had attended a 4 year school. 75 of the workers surveyed had attended neither.
a) find the probability that a student attended a community college or attended a university
b) find the probability that a student did not attend a community college or did not attend a university.

A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine the 95% confidence interval estimate of the population mean.

The following scores were obtained by 70 students in a Statistics Examinations:
77 68 70 84 68 38 72 82 86 22
66 90 87 53 3 39 28 16 7 38
39 23 50 33 30 64 10 84 49 17
15 79 37 92 8 30 96 8 62 64
25 87 45 96 78 69 40 89 48 41
60 28 99 19 15 95 96 49 8 6
49 14 57 96 97 81 13 55 95 89
(a) Arrange the data in a frequency distribution with classes: 0-9, 20-29, 30-39, 40-49, 50-59, 60-69, 70- 89, 90-109
(b) Draw a histogram for the distribution.
(c) Calculate the:
(1) Mean
(2) Mode
(3) Median
(4) Variance
(5) Standard deviation

In a shipment of 50 transformers, 6 are known to be defective. If 30 transformers are picked at random, what is the probability that all 30 are nondefective? Assume that all transformers look alike and have an equal probability of being chosen.
Round your answer to 6 decimal places.

The calibration of a filling machine broke, causing it to underfill 5 jars of jam. The jars were accidentally mixed in with 9 properly filled jars. All the jars look the same. 3 jars are chosen from the batch and weighed. What is the probability that exactly 2 jars are underweight?
Round your answer to 3 decimal places.

A bowl contains 27 M&M candies; 9 are red, 6 are green, and 12 are blue. A piece of candy is chosen, and its color is noted. Suppose you took 3 pieces of candy without looking. Define the event E: Each color is represented. What is P(E)?
Round your answer to 3 decimal places.

why was empiricism an improvement over the classical approach to science?

A multichannel microwave link is to provide telephone communication to a remote community having 12 subscribers, each of whom uses the link 20% of the time during peak hours. How many channels are needed to make the link available during peak hours to:
(i) 80% of the subscribers all the time?
(ii) All of the subscribers 80% of the time?
(iii) All of the subscribers 95% of the time

A pair of 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5?