The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 12, 1981 to July 8, 2011. Crew Size 2 4 5 6 7 8 Frequency 4 3 36 28 63 1 Let C = Crew Size a) How many shuttle missions were there from April 12th, 1981 to July 8, 2011? b) Create a probability distribution for the random variable C C = c P(C = c) 2 4 5 6 7 8 1.0000 Use your probability distribution to find: c) P(C = 6) = d) P(C is at least 4) = e) P(C is no more than 7) = f) P (4 ≤ C ≤ 7) = g) P (2 < C ≤ 5) = h) What is the expected crew size? E(C) =

The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? (Type a decimal rounded to three decimal places as needed.) P(rifle or shotgun) = Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun. B. If 1000 murders were randomly selected, we would expect about of the to have resulted from a rifle or shoto (c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun? P(handgun, rifle, or shotgun) = (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders…

The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 12, 1981 to July 8, 2011. Crew  2 4 5 6 7 8 Frequency 4 3 36 28 63 1 Let C = Crew Size a) How many shuttle missions were there from April 12th, 1981 to July 8, 2011? b) Create a probability distribution for the random variable C C = c  P(C = c) 2   4   5   6   7   8     1.0000 Use your probability distribution to find: c) P(C = 6) = d) P(C is at least 4) = e) P(C is no more than 7) = f) P (4 ≤ C ≤ 7) = g) P (2 < C ≤ 5) = h) What is the expected crew size? E(C) =

According to a survey, the distribution of graduate science students in doctorate-granting institutions is shown to the right. Frequencies are in thousands. A graduate science student who Field is attending a doctorate-granting institution is selected at random. Complete parts a through c. Frequency - Physical sciences 34.7 Environmental sciences 11.1 Mathematical sciences 17.5 Computer sciences Agricultural sciences Biological sciences Psychology 43.6 11.8 64.5 45.1 Social sciences 88.5 a. Determine the probability that the field of the student obtained is psychology. (Round to three decimal places as needed.)

Consider the list of numbers 2,3,4. The following table includes the 9 possible combinations of choosing two numbers, with replacement, from this list. The sample means for each combination have already been calculated. Sample Mean T 2 2.5 3 2.5 3 2 2.5 3 3.5 Sample 2,2 2,3 2,4 3,2 Use the table above to construct a probability distribution. Sample Mean 4 3,3 3,4 4,2 4,3 4,4 Frequency 1 2 q q co 2 1 3.5 3 8 3.5 4 P(x) X X X X X

The table below summarizes a survey involving the relationship between living arrangements and grade point average for a group of students. If a student is selected randomly from this​ group, what is the probability that the student lives off​ campus?     On Campus At home Apartment Totals Below 2.5 97   38   44   179   2.5 to 3.5 66   26   22   114   Over 3.5 18   5   8   31   Totals 181   69   74   324

The following table gives the number of fatal work injuries categorized by cause from 2015 in a certain country. Cause Number of Fatalities Transportation accidents 2926 Assaults and violent acts 724 Contacts with objects and equipment 719 Falls Exposure to harmful substances or environments Fires and explosions Other. 820 406 125 21 Find the probability that a randomly chosen work fatality had the following cause. Assaults and violent acts

6. A study was conducted to determine the number of emergency calls per day received by the Conestoga Valley Fire Company. The data are shown here: # of phone calls Frequency 5 7 8 28 32 21 10 (a) Construct a probability distribution for the number of phone calls. (b) Find the mean number of phone calls, rounded to the nearest tenth.