The following table lists the number of homework problems X that appear on a Probability and Statistics exam, and the corresponding probability. Note X is a random variable. Find the moment generating function of X.

Question 5 in Images.   Thank you

refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

sub questions 1, 2 and 3 please

5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X  P(X) 0   0.05 1     0.25 2    0.35 3    0.20 4   0.15a. What is the probability she is stopped one time on her way to work?b. What is the probability she is stopped at least two times on her way to work

Let's calculate the probability of finding someone special. Using a form of Fermi's Paradox (the difference between having limited or no choices to having high amount of choices). Let's calculate your probability using the following data. Multiply the number and all percentages together N (subscript p): Number of people = your target population (number of people in your state). Broward County, FL is 1,953, 251 million. Dade County, FL is 2,717,251 million. Palm Beach County, FL is 1, 497,251 million. Harris County, TX is 4,731,251 million. (example: 1,374,251 x .5 x .44 x .37 x .25 x.10 x.10 = 279 people are potential special people for you) times f (subscript g) = target gender (multiply as a decimal. Example: 0.5 for either sex or 1.0 for both sexes) times f (subscripts) = single people (multiply as a decimal) About 44% of people are single at any given time. f (subscript e) = the number of people you'll run into (multiply as a decimal). Your sample size will be small if you only…

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