Statistics and Probability Answers

A random variable X has the probability density function given below
2(

Six students are selected at random from an engineering class and classified as male or female.List the elements of sample space S1 using the letter M for male F for female. Define a second sample space S2 Where the elements represent the number of females selected

A container has 3 defective and 4 non defective items. if a sample of 2 items are drawn one [05] after another without replacement what is the probability that, the sample will at most one defective

In a class of 30 students, 7 are in the art club, and 12 are in the drama club. No students are in both clubs. If a student is randomly selected, what are the chances that a student in the art club will be selected?

The publisher wants to determine the relationship between the number of copies of books sold and the expenditure made. A sample of 10 books studied shows the following data.

Copies sold
(in thousands) –x
5
13
24
35
58
73
98
100
121
189

Advertising Expense (thousands of pesos)-y
5
9
5
7
8
6
12
21
38
30


1. Determine the regression model.
2. How many copies will be sold if expenditure is P40k ?
3. If there are 220k copies, how much will be the advertising expense?
4. Test the regression coefficient.

if the mean and the standard deviation of a continuous random variable that is normally distributed are 26 and 6, find an interval that contains 95% of the distribution

The only information available to you regarding the probability distribution of a set outcomes is the following list of frequencies:

X 0 15 30 45 60 75
Frequency 25 125 75 175 75 25

(a) construct a probability distribution for the set of outcomes.
(b) Find the expected value of an outcome.

A produce shipper has 10,000 boxes of bananas from Ecuador and Honduras. An inspection has determined the following information

# of boxes Damaged fruit Overripe fruit

Ecuadoran 6,000 200 840
Honduran 4,000 365 295

(a)What is the probability that a box selected at random will contain damaged fruit? Overripe fruit?
(b)What is the probability that a randomly selected box is from Ecuador
Or Honduras?
(c)Given that a randomly selected box contains overripe fruit, what is the probability that it came from Honduras?
(d)If damaged fruit and overripe fruit are mutually exclusive, what is the probability that a box

From a box containing 2 apples, 2 peaches and 2 oranges, 3 fruits are drawn at
random. Let P be a random variable representing the number of oranges that occur. Construct a probability distribution.