Math Answers

The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed. What is the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months?

Find the probabilities of the following.

1. P(Z > 1.36)

2. P(Z < 2.45)

3. P(1.2 <z<1.4)

4. P(-2.75 << -0.56)

5. P(Z > -1.05)

The volume, V cm³, of a metallic cube of side length x cm, is increasing at the constant rate of 0.216 cm3 s^-1 .

(a) Determine the rate at which the side of the cube is increasing when the side length reaches 6 cm.

(b) Find the rate at which the surface area of the cube, A cm², is increasing when the side length reaches 6 cm.

1.The number of females employees selected if five employees are selected by lottery from a group of six male and six female employees

2.The probability that at least two female contestants will be among the three prize winners in an essay writing contest out of the six female and four male finalists.

3.The probability of getting a sum divisible by three if a pair of fair dice is rolled and the numbers that turn up are noted.

A Random Variable that can take on a finite (or countably infinite) number of distinct values.

Consider a population consisting of 2,6,8,0 and 1. Suppose samples of size 2 are drawn from this

population. Find the Mean and Variance of the sampling distribution of sample means.

Three balls of different colors are numbered 1, 2, and 3. Construct a

sampling distribution with n -- 2. Make a histogram for this sample

distribution.?

In math club there are 7 girls and 5 boys. A team of 6 students must be formed to coMpete In math contest.let x be the number of boys in the team.

1. What are the posible value of x?

2. Construct a probability distribution for the random variable.

A game consists of drawing one card from a deck of cards. If the card drawn is a face card, the player wins P100.Otherwise, he loses P30. Determine if the game is fair

The following data show the probability distribution of the number of speakers sold daily in an appliance shop during the past several months, X={0, 1, 2, 3, 4, 5} P(X)={.07, .18, .27, .19, .08, .21}, what is the probability that at most 4 speakers will be sold?