In: Statistics and Probability
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
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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