Math Answers

In a certain city, the daily consumption of electric power, X (in millions of kilowatt hours) is a random variable where X ~ Gamma (α, β) with a mean of 6 and a variance of 12. i) Find α and β. ii) Given a month has 30 days, how many kilowatt hours should we expect the city to consume during the month? 

THE PROBABILITIES THAT A SURGEON OPERATES ON 3,4,5,6 or patients in any one day are 0.15,0.20,0.25,0.20 and 0.20 respectively

. A population consists of the four numbers 1, 2, 8, and 9. List all the possible

samples of size n = 2 which can be drawn without replacement from the population.

Find the following:

a. Population mean

b. Population variance

c. Population standard deviation

d. Mean of the sampling distribution of sample means

e. Variance of the sampling distribution of sample means

f. Standard deviation of the sampling distribution of sample means

A population consists of the four numbers 1,2,8 and 9.List all the possible samples of size n=2 which can be drawn without replacement from the population.Find the following

A committee of 5 members is to be formed from a group of 8 men and 5 women professionals. Let Y denote the number of women in the committee. If the selection is done randomly, determine the probability mass function of Y. What is the probability that the committee has at most 2 women?

Use the given probability distribution table to answer each item.

X 0 1 2 3 4 5

P(X) 0.10 0.24 0.08 0.20 0.21 0.17

1. P(2)=

2.P(greater than 0)=

3.P(less than 5)=

4.P(even)=

5.P(odd)=

6.P(between 0 and 5)=

7.P(greater than 2)=

8.P(less than 3)=

9.P(3 and 4)=

10.<P(X)=

Four balls are drawn in succession without replacement from an urn containing 4 white balls and 7 black balls. Let W be the random variable representing the number of white balls.

(d^2-5d+6)y =x cos(2x)

Supposed three coins are tossed. Let X be the random variable representing the number of heads occur. Construct a table that shows the sample space and values of the random variable X.

Making a sale on a customer call is 0.16 What’s the probability no sales will be made in 12 calls