Space Shuttles: The National Aeronautics and Space Administration (NASA) compiles data on Space-Shuttle launches and publishes them on its Wed site. The following table displays a frequency distribution for the number of crew members on each shuttle mission April 1981 to July 2000. Crew Size 2 3 4 5 6 7 8 Frequency 4 1 2 36 18 33 2 Let X denote the crew size of randomly selected shuttle mission between April 1981 and July 2000. What are the possible values of the random variable X ? Use random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7. Find P(X=4); interpret interms of percentages. Obtain the probability distribution of X. Construct a probability histogram for X.

A space agency compiles data on​ space-shuttle launches and publishes them on its website. The following table displays a frequency distribution for the number of crew members on each shuttle mission over a​ 30-year period. Let X denote the crew size on a randomly selected shuttle from this time period. Complete parts​ (a) through​ (e) below.   Crew size 2 4 5 6 7 8     Frequency 4 5 40 20 72 1       a. What are the possible values of the random variable X​?   ​(Use a comma to separate answers as​ needed.)   b. Use​ random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7. Select the correct choice below and fill in the answer box within your choice.   A.( P) B. c. Find ​P(X=4​); interpret in terms of percentages.   ​P(X=4​)= ​(Round to three decimal places as​ needed.) Interpret in terms of percentages. Select the correct choice below and fill in the answer box to complete…

The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy   Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…