Math Answers

The scores for a mathematics course seem to be normally distributed with mean 70 & standard deviation of 8. If the instructor wishes to give an A grade to 10% of the students, what should be the dividing line between an A grade and a B grade?

The scores for a mathematics course seem to be normally distributed with mean 70 & standard deviation of 8. If the instructor wishes to give an A grade to 10% of the students, what should be the dividing line between an A grade and a B grade?

Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.

6. Your house is two km due north of a river that runs east-west. Your grandmother's house is located 12 km west and 1 km north of your house. Every day, you go from your house to Grandma's, but first visit the stream (to get fresh water for Grandma). What is the length of the route with minimum distance?

7. If 10 cows can eat 10 bags of grain in 10 days, how many days will it take for one Icow to eat one bag of grain?

The random variable Y = LogX has N(12,6) distribution. Find (a) The pdf of X (b) Mean and variance of X (c) P ( X ≤ 1000

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? *

F(x) = "\\smallint" "(x+9)dx \/ (x-2)(x+2)"² and F(3.1) = 5.5. Compute F( -0.5)