Statistics and Probability Answers

Explain the objectives of Statistical Average. What are the requisites of a good average?

Find the moment generating function of random variable which is uniformly distributed over (–a, a). Evaluate E (X2n).

The fill amount of boxes of breakfast cereal is normally distributed with a mean of 750 g and a standard deviation of 25 g. A random sample of 25 packages is selected for measuring the weight. What is the probability that the sample mean will be

1. between 740 g and 750 g?

A dietitian wanted to test three different diets to find our whether or not the mean weight loss for each of these diets is the same. He randomly selected 15 overweight individuals, randomly divided them into three groups, and put each group on one of the three diets. The table shown below records the weights loss by these individuals after being on these diets for six weeks.
Diet A Diet B Diet C
7 4 15
10 3 12
4 6 17
6 4 16
8 7 11

By using ANOVA procedure, we wish to test the null hypothesis that the mean weight loss by all individuals on each of the three diets is equal. The significance level is 2.5%.

if a baseball players batting average is .320 find the probability that the player will get at most 26 hits in 100 times at bat

Three boys agree to meet at midday tomorrow. The probability of each boy remembering
to meet is 3/4 , 4/5 , 5/8
Calculate the probability that
(a) at least two of the boys will remember to meet.
(please write the explanation also)

A statistics professor plans classes so carefully that the lengths of the classes are uniformly distributed between 49.0 and 56.0 minutes.

*Find the probability that a given class period runs less than 51.25 minutes.

if the probability of hitting a target is 3/4 and 9 shots are fired independently, what is the probability of hitting the target once or not at all?

In a standard normal distribution, what is the probability of randomly selecting a value between -2.555 and -0.745? Round to four decimal places.

P (81.8<xbar<88.1) n=81 u=84 o=18