I just need help with b and f

David and Patrick are playing baseball for the Cafe Tropical  team.  Suppose that the distance of fly balls  hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. If X = distance in feet for a fly ball, then X ~ N ( , ) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled less than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability. P = Find the 80th percentile of the distribution of fly balls. 80th Percentile: feet

But isn't the mean of the gamma distribution aplha (beta)

Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 6 cm. Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 2 standard deviations of the mean? What are the minimum and maximum heights that are within 2 standard deviations of the mean? At least % of women have heights within 2 standard deviations of 161 cm. (Round to the nearest percent as needed.) cm. The minimum height that is within 2 standard deviations of the mean is cm. The maximum height that is within 2 standard deviations of the mean is

A scientist is studying the paramecium, a one-celled organism, under a microscope. There are 1500 paramecia in the slide he is studying, and the standard deviation of their lengths is 0.12mm. He views a sample of 30 paramecia and finds that the mean length of these 30 specimens is 0.25mm. Give the point estimate of the mean length of the entire paramecium population in the slide? (a) (b) Construct a 95% confidence interval for the mean length of the population. (c) State the maximum error for the estimate?

The time that it takes for the next train to come follows a Uniform distribution with f(x)=135f(x)=135,  where xx goes between 3 and 38 minutes. Round answers to 4 decimal places when possible.what is the mean of this distribution and the standard deviation?

The top part please

How to find the standard deviation after we have found the range?

4 Let f(x) = (1/10)(x-3)^2 for x = 1, 2, 3, 4, 5 %3D Find the standard deviation of X. For the instructor, this was question 11. / 1.8 X 3.1 X 3.4 X 3.5 X 9.4 X 12.4

A distribution with u=55 and o=6 is being standardized so that the new mean and standard deviation will be u =50 and o=10.When the distribution is standardized,which value will be obtained for a score of x=58 from the original distribution? x=53 x=55 X=58 x=61