Statistics and Probability Answers

Three students want to plant a different type of flower in the school garden. However, their teacher instructed them to plant only one type of flower. The gardener saw them discussing the problem and suggested they use a random number generator table to decide what type of flower will be grown.

1.    Each month, the city of Accra generates an average of 28 pounds of waste. Assume the variable is approximately normally distributed and the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating between 27 and 31 pounds of waste per month. Draw a normal distribution curve to show the required region. 

I was found that 85.6% of students at IUL worldwide are enrolling to undergraduate program. A random sample of 50 students from IUL Morocco revealed that 42 of them were enrolled in undergraduate program. Is there evidence to state that the proportion of IUL Morocco differs from the IUL Morocco proportion? Use α = 0.05

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1.Electronic configuration of an element is 1s2 2s2 2p6 3s2 3p6 3d10 4s2 4p5. Answer the following questions based on this information.

 a) Explain how you can find out its position in the periodic table (group & period) from the electronic configuration, in two sentences. 

b) What block element is it?

c) Write one property of this element.

The Welcher Adult Intelligence Test Scale is composed of several subtexts. On one subtest the raw scores have a mean of 55 and a variance of 25.Assuming these raw scores are from a normal distribution.

a) what is the probability of obtaining a raw score between the mean and 46?

b)what is the probability of obtaining a raw score between 50 and 58?

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A module is over assume that the total Mark's were at an average of u=18 per assessment and that the distribution of total Mark's are normally distributed with o=10.

a)what is the proportion that a student would have a mark more than 24 mark if randomly selected?

b)what proportion of students would have marks between 10 and 24?

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It is believed that there is a relationship between level of information and readiness to take a vaccination jab among tertiary institution students.To test this relationship a research team decides to conduct a study using a sample not tertiary students.

Level if information: Readiness Score:

7 7

9 6

9 6

2 3

8 9

5 7

7 6

6 7

8 6

10 9

a) use all the data supplied above to manually calculate the correlation coefficient (r). SHOW ALL CALCULATIONS

b)what does the correlation coefficient that you calculated tell you about the direction and strength (magnitude) of the relationship between information and readiness?

c)calculate and interpret the coefficient of determination for this relationship.

The given table shows the rainfall of Gujarat Region. Forecast the rainfall using

Exponential Smoothing. Use Alpha =0.2, 0.5 and 0.8. Data is available from 1997 to

2016, use this series for the calculation and forecast rainfall for the year 2017. To

know, what extent the prediction is correct, actual rainfall for 2017 (1024.4millimeters) is provided. Based on MSE and MAD, find out which alpha values

among the three suggestions are relatively near to actual value?

SUBDIVISION YEAR ANNUAL (in MM)

Gujarat Region 1997 1068.9

Gujarat Region 1998 1070

Gujarat Region 1999 568.4

Gujarat Region 2000 550.6

Gujarat Region 2001 849

Gujarat Region 2002 637.2

Gujarat Region 2003 1160.3

Gujarat Region 2004 1005.8

Gujarat Region 2005 1316.4

Gujarat Region 2006 1478

Gujarat Region 2007 1178.9

Gujarat Region 2008 911.1

Gujarat Region 2009 641.6

Gujarat Region 2010 1088.7

Gujarat Region 2011 890.5

Gujarat Region 2012 714

Gujarat Region 2013 1118.6

Gujarat Region 2014 705.7

Gujarat Region 2015 622.9

Gujarat Region 2016 764.9

True or False:

A positive z-score always corresponds to an X value greater than the mean.

For any population a z-score of _+ 1.00 corresponds to a location exactly 10 points above the mean.

Three boxes contain lamp bulbs some of which are defective. The proportion of

defective in box A1; A2 and A3 are 1 2; 1 8 and 3 4 respectively. A box is selected at random and

a bulb is drawn from it. If the selected bulb is found to be defective, what is the probability that

box A1 was selected?