Only parts d,e,f,g,h 1. Two close friends live in different states. The probability mass function for the number of in-personmeetings of two friends in a one-year period is given by random variable X is as follows:x = 1,2,3,4CP(X =x) =:elseRewrite this pmf in a table form.b. Determine the 'c' value so that the function given is a valid probability mass function. Justifyyour answer by showing that the pmf is valid.Derive the cumulative density function (cdf) - present it in functional form like thisa.с.some#1x< smthlsome#2 smthl < x< smth2P(X smth..d. Graph the cdf in some way (by hand, excel, desmos, etc.,). Label the x-axis as x and the y-axis asF(x). Make sure the values of x range from 0 to 5.What is the probability that two friends meet at most three times in a one-year periodf.е.What is the probability that two friends meet at least two times in a one-year periodg. What is the probability that two friends meet more than one time but less than four times in a one-year periodh. What's the long run average number of meetings (expected value)?i.Graph the pmf using a column chart or by hand. Label the x-axis as c and the y-axis as f(c). Markthe expected value on this graph.j. Imagine each meeting costs $500 per person. What's the expected cost to the two friends basedon meeting costs?k. What's the variance of the number of meetings?1. What's the standard deviation of the number of meetings?

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Two close friends live in different states. The probability mass function for the number of in-person meetings of two friends in a one-year period is given by random variable X is as follows: 1. P(X =x)=< x = 1, 2,3,4 else Rewrite this pmf in a table form. b. Determine the 'c' value so that the function given is a valid probability mass function. Justify your answer by showing that the pmf is valid. Derive the cumulative density function (cdf) - present it in functional form like this а. с. (some#1 x< smthl some#2 smthl

Two close friends live in different states. The probability mass function for the number of in-person meetings of two friends in a one-year period is given by random variable X is as follows: 1. P(X =x)=< x = 1, 2,3,4 else Rewrite this pmf in a table form. b. Determine the 'c' value so that the function given is a valid probability mass function. Justify your answer by showing that the pmf is valid. Derive the cumulative density function (cdf) - present it in functional form like this а. с. (some#1 x< smthl some#2 smthl

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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