Statistics and Probability Answers

Samples of three cards are drawn at random from a population of 7 seven cards numbered 1 – 7.

47 – 48. How many possible samples can be drawn?

49 – 58 . Construct the sampling distribution of the sample means.

A simple random sample of size 5 is drawn without replacement from a finite

population consisting of 41 units. If the population standard deviation is 6.25, what is the

standard error of sample mean?

The following data give the no of passengers travelling by Boeing 747 from one city to another in one week.

320, 290, 265, 300, 270, 315

Calculate the mean and standard deviation

Determine each of the following areas and show these graphically.

1. to the right of z = 1.1

2. between z = -2 and z = -1.5

X 3,5,7

p(3) =7/30 , p(5) = 1/3, and p(7) = 13/30

Construct all random samples consisting three observations from the given data. Arrange the observations in ascending order without replacement and repetition 86 89 95 98

A random variable x has a mean 4 and a standard deviation of 2.what is the corresponding z-score for x=7

Four coins are tossed. Let A be the random variables representing the numbers of heads that occur. Find the values of the random variables A.

The BRIT Sports Bar sells a large quantity of Guinness every Saturday. From past records, the pub has determined the following probabilities for sales:

  Number of Crates (X) P(x)

18 0.15

19 0.10

20 0.32

21 0.05

22 0.13

23 0.25

a.   Verify that this [P(x)] is a probability distribution.                              

e.   Calculate the variance of the distribution?                                         

f.    Determine the standard deviation of the distribution?                         

Write the probability distribution of the random variable Q defined by the outcomes of rolling a fair die.