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- A consumer agency surveyed all 2500 families living in a small town to collect data on the number of television sets owned by them. The following table lists the frequency distribution of the data collected by this agency. 5. Number of TV sets owned 1 2 3 4 Number of families 120 970 730 410 270 (a) Construct a probability distribution table for the numbers of television sets owned by these families. Draw a bar graph of the probability distribution. Are the probabilities listed in the table of part a) exact or approximate probabilities of various outcomes? Explain. Let X denote the number of television sets owned by a randomly selected family from this town. Find the following probabilities. (i) (iii) Find the mean and standard deviation for the probability distribution developed for the number of television sets owned by all 2500 families in a town. Give a brief interpretation of the values of the mean and standard deviation. (b) (c) P(X= 1) P(X 2) P(1< X <3) (d)Suppose that 100 patients are asked to rate the services provided by a local hospital. Therating options are: 1 (Outstanding), 2 (Good), 3 (Okay), 4 (Poor), and 5 (Terrible). Theresults of the survey show that 15 people listed the services as Outstanding, 38 as Good,25 as Okay, 13 as Poor, and 9 as Terrible. Find the probability distribution for the hospitalservices rating.Construct a probability distribution for tossing two coins. Let x represents the number of tails.
- 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…Brian is in charge of the mailroom of the Boryk Corporation. Each day the company receives several packages via the U.S. Postal system, for which he must sign. The following is the probability distribution for the number of daily pieces of mail that comes via the Postal system.The chance of having a sister or a brother is equally likely. If you have four siblings, there are sixteen equally likely outcomes possible. Create a Probability Distribution to the outcomes based on the total number of sisters given you have 4 siblings Total Number of Sisters ..Probability .. List your outcomes (Total Number of Sisters) from least to greatest. Represent the probabilities using 4 decimal places