Statistics and Probability Answers

A club consist of 15 members. In how many ways can a committee of 3 to be chosen?

A soldier is firing at a moving target. He fires four shots. The probability of hitting the target at 1st, 2nd, 3rd and 4th shots are 0.6, 0.4, 0.2, 0.1 respectively. What is the probability that he hits the target?

A)517/625
B)3/625
C)105/625

A population consists of the following five values: 2, 2, 4, 4, and 8.
a.
List all samples of size 2 from left to right without replacement, and compute the mean of each sample.

Sample Values Sum Mean
1


2


3


4


5


6


7


8


9


10



b.
Compute the mean of the distribution of sample means and the population mean. Compare the two values.


Mean of the distribution of the sample mean
4

Population mean
4


c. Compare the dispersion in the population with that of the sample means.

There is in the population than in the distribution of the sample means. The population varies from whereas the sample means only vary from .

If two no selected at random from the nos 1,2,3,4 determine the probability that their sum is odd when they are selected together and one by one with replacement

Which sample size will produce a margin of error of ±4.1%?

856

595

782

362

The data of an experiment to apply sufficient quantities of fertilizer to optimize vegetation growth (grass yield) and avoid excessive application that could lead to runoff and nutrient enrichment of a nearby lake is shown in the data below. Determine the regression of y on x.
y- 25- 50- 75- 100- 125- 150- 175- 200- 225- 250.
x- 84- 9 - 90- 154- 148- 169- 206- 244- 212- 248.

If H0:U=260.50kg with standard deviation at 7.2 and 99% confidence limit, H1:U> 260.50kg, what will be the final conclusion for H0?

Q1. If 20% of patient being treated with a type of malaria drug suffered a bad reaction, find the probability in the treatment of 10 patients, 2 will suffer a bad reaction.
Q2. In measuring the height of some rabbit, the mean was 72 and the standard deviation was 15, calculate the standard height of rabbits having a height of 93.

The data of an experiment to supply sufficient quantities of fertilizer to optimize vegetation growth(grass yield) and avoid excessive application that could lead to a runoff and nutrient enrichment of a nearby lake is shown in the data below. determine the regression of y on x.
y - 25- 50- 75- 100- 125- 150- 175- 200- 225- 250.
x - 84- 9- 90- 154- 148- 169- 206- 244- 212- 248.

Q1. The data of an experiment to apply sufficient quantities of fertilizer to optimize vegetation growth(grass yield) and avoid excessive application that would lead to runoff and nutrient enrichment of a nearby lake is shown in the data below. Determine the regression of y on x.
y- 25 -50 -75- 100- 125- 150- 175- 200- 225- 250.
x- 84 -9- 90- 154- 148- 169- 206 -244 -212-248.
Q2. The average normal temperature (oC ) and the corresponding average precipitate (inches) for the months of August for seven randomly selected local government areas in plateau state are shown in the data below, compute the value of the; (a) correlation coefficient, (b) What can you deduce about the correlation of x and y.
temp- 30 - 27 - 28 - 32 - 2 7- 23 - 18.
ppt- 3.4- 1.8- 3-5- 3.6- 3.7- 1.5- 0.2.