Statistics and Probability Answers

The random variable Y = LogX has N(10,4) distribution. Find (a) The pdf of X (b) Mean and variance of X (c) P ( X ≤ 1000

n a farming community, 30% of the farmers grow oranges only, 10% grow lemons only and 4% grow both oranges and lemons. 1.1) What proportion of farmers in the community grow either oranges or lemons? [3 marks] 1.2) If a farmer is chosen randomly from these in the community, what is the probability that he grows neither oranges nor lemons? [marks] 1.3) Of all the farmers who grow oranges, what proportion grow lemons also?

What proportion of farmers in the community grow either oranges or lemons

What is the corresponding z – score value when its area in the normal curve is 0.2123? Use the z- table to find the value

What is the area of the region that corresponds to 1.96? *

Renzo tossed a pair of dice five times. What is the probability that he will get at least three "9"

If the probability that it may rain tomorrow is 2/5, what is the probability that it may not rain?

The average number of automobiles per minute stopping for gas at a particular service station along the Coastal Road is 4. What is the probability that in any given minute more than two will stop for gas?

Medical literature tells us that our blood is mainly composed of red and white blood cells corpuscles and a normal human body must average 7250/mm³ of white blood cells counts. If a sample of 15 individuals chosen at random from a certain place has an average of 4850/mm³ with a standard deviation of 2500/mm³ would you say that the people in that place have low white blood cell counts?

a. Formulate the null and alternative hypothesis in sentence and in symbol

b. Determine what test statistic to use

c. Compute the test statistic

d. Final answer