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Ch.3: Random Variable: nd Probability Distributions Class Exercise - A: The data from 200 endothermic reac...

Ch.3: Random Variable: nd Probability Distributions Class Exercise - A: The data from 200 endothermic reac ns involving sodium bicarbonate are summarized as follows: Final Temperature Conditions 266 K(48) 271 K(60) 274 K(92) Number of Reactions 48 60 92 Calculate the probability mass function of final temperature

Ch.3: Random Variable, and Probability Distributions Class Exercise - B:

Determine the cumulative distribution function for the random variable in Exercise A (In the previous slide)

Show the plot for this Cumulative Distribution Function.

please answer the questions A and B and please don't forget the chart in Exercise B

Solutions

Expert Solution

Answer:-

Given That:-

Ch.3: Random Variable: nd Probability Distributions Class Exercise - A: The data from 200 endothermic reac ns involving sodium bicarbonate are summarized as follows: Final Temperature Conditions 266 K(48) 271 K(60) 274 K(92) Number of Reactions 48 60 92 Calculate the probability mass function of final temperature

Ch.3: Random Variable, and Probability Distributions Class Exercise - B:

Determine the cumulative distribution function for the random variable in Exercise A (In the previous slide)

Show the plot for this Cumulative Distribution Function.

Given,

X = Final Temperature

pmf of X

P(X = 266) = 48/200

= 0.24

P(X = 271) = 60/200

= 0.30

P(X = 274) = 92/200

= 0.46

cdf of X

F(X = 266) =

= 0.24

F(X = 271) =

= 0.24 + 0.30

= 0.54

F(X = 274) =

= 0.24 + 0.30 + 0.46

= 1.00

Plot of cdf

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