Part One:

1. Using the data for Life Expectancy in theStatistics for 42 Countries(you can use the link to the Google Sheet below to obtain the data required). The mean Life Expectancy is 71.94 and the standard deviation is 7.88. Complete full solutions to the following questions using thez-score chart(show your work): (table is attached below)

(a) Determine the probability that a country has a Life Expectancyless thanthe Russian Life Expectancy.

(b) Determine the probability that a country has a Life Expectancygreater thanthe Life Expectancy of Turkey.

(c) Determine the probability that a country has a Life Expectancybetweenthe Life Expectancy of China andPakistan.

(d) Determine the probability that a country has a Life Expectancyless thanthe United Kingdom.

(e) The actual number of countries with a Life Expectancyless thanthe United Kingdom is 35. Determine theactual percentof countries with a Life Expectancyless thanthe United Kingdom.

(f) Compare your answer to part ii. with i.Explainwhat the difference suggests about the data for Life Expectancy for the 42 countries.

Part two:

1. A student asks her teacher "What is the probability that it will take youexactly20 minutes to walk to school in the morning?"What will be the teacher'sreply?What is a better question to ask? Explain by referring to concepts that we discussed in this unit.

2.Describe how calculating probability for continuous random variables is different than calculating probability for discrete random variables.Explain using examples discussed in the activity and ideas discussed in this unit.

3.The heights of players in Major League Baseball are normally distributed and have a minimum of 5.5 feet and maximum of 6.83 feet.Someone in our class explains that the standard deviation must be less than of the difference between the max and the min.To what extent do you agree?Totally agree, somewhat agree, disagree. Defend your decision by including a sketch of a normal curve and referring to properties of the normally distributed data discussed in this unit.

4.The length of time of full-length movies is approximately normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours.Based on this scenario, explain what a Z-Score is.

5.Describe how you could use the normal distribution to describe how a manufacturing company decides whether or not a part is defective.Give specific examples with numbers and explanations.You may research some examples on the internet.

6.The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes.Based on what you have learned about the Normal Distribution Curve, there are intervals that you could you estimate without using the Z-score table and that do not include the mean as a max or min.For example,is an interval we know that includes the mean as the maximum of the interval. Another example isas an example of a probability interval that includes the mean as the minimum and 57 as the maximum.Includeat least 6 intervals,their probabilities and a sketchfor each in your answer.

Mortality Life rate, infant Population Expectancy (per 1,000 growth GDP per capita Country Population at birth live births) (annual %) (current US$) Afghanistan 31,627,506 60.37446 68.1 3.03347 633.94786 Algeria 38,934,334 74.8081 22 1.9404 5484.06681 Argentina 42,980,026 76.15861 11.5 1.03306 12324.93879 Bangladesh 159,077,513 71.6259 32.1 1.21438 1086.80009 Brazil 206,077,898 74.40188 14.4 0.88636 11728.79939 Canada 35,587,793 81.95661 4.4 1.09807 50185.4815 China 1,369,435,670 75.78227 9.8 0.50631 7683.50204 Colombia 47,791,393 73.99315 14.1 0.944 7918.0789 Democratic Republic of the Congo 74,877,030 58.6592 76.5 3.15318 437.81493 Egypt 89,579,670 71.12171 21 2.21886 3365.70742 Ethiopia 96,958,732 64.03502 42.9 2.50681 573.56596 France 64, 121,249 82.37317 3.6 0.7909 42696.77883 Germany 80,646,262 80.8439 3.2 -1.41038 47902.65288 India 1,295,291,543 68.0138 39.3 1.22673 1576.81767 Indonesia 254,454,778 68.88849 23.6 1.26019 3499.58873 Iran (Islamic Republic of) 78, 143,644 75.38932 13.9 1.27655 5442.87477 Iraq 35,273,293 69.39968 27.2 3.36127 6484.52934 Italy 59,788,667 82.69024 3 0.9175 35365.10412 Japan 126,794,564 83.5878 2.1 -0. 16255 38139.42236 Kenya 44,863,583 61.57637 36.6 2.64412 1368.49113 Mexico 125,385,833 76.72185 11.9 1.32122 10353.44798 Morocco 33,921,203 74.0161 24.6 1.39082 3186.60876 Myanmar 53,437,159 65.85785 40.7 0.85196 1227.13722 Nigeria 177,475,986 52.75427 71.5 2.66049 3203.2443 Pakistan 185,044,286 66.18337 67.4 2.10344 1320.55355Mortality Life rate, infant Population Expectancy (per 1,000 growth GDP per capita Country Population at birth live births) (annual %) (current US$) Peru 30,973, 148 74.52554 13.6 1.325 6490. 18119 Philippines 99, 138,690 68.26563 22.8 1.59325 2873.08819 Poland 38,619,974 77.25366 4.5 -0.07485 14341.85993 Republic of Korea 50,074,401 82.15585 3 0.40596 27989.35399 Russian Federation 143,429,435 70.36585 8.5 0.21763 14051.59912 Saudi Arabia 30,886,545 74.33722 12.9 2.24439 24406.47646 South Africa 53,969,054 57.18212 34.4 1.61574 6498.589 Spain 46,259,716 83.07805 3.6 -0.29895 29718.50022 Sudan 39,350,274 63.45854 48.8 2.14527 2087.70054 Thailand 67,725,979 74.42202 10.9 0.40622 5969.94012 Turkey 77,523,788 75.16351 12.3 1.69132 10303.69871 Uganda 37,782,971 58.46641 39.1 3.25377 734.74402 Ukraine 45,002,497 71.18659 8.1 -0.27891 3104.6583 United Kingdom of Great Britain and Northerr 64,331,348 81.0561 3.7 0.75335 46412.11727 United Republic of Tanzania 51,822,621 64.9439 36.2 3.15437 957.93453 United States of America 319,448,634 78.94146 5.7 0.7807 54539.66558 Viet Nam 92,423,338 75.62912 17.8 1.07421 2052.31908 Source: UNESCO Database