Answered: corresponding probabilities. X…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 46E

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Question

Table 3 below shows all the possible values of a discrete random variable, X, and their corresponding probabilities.

X	−3	−1	0	1	3
P(X = x)	0.14	0.22	0.36	0.20	0.08

Find P(−3 ≤ X < 0), P(X ≥ 0) and P( X< 3)
Calculate the expected value (mean) and the standard deviation of the probability distribution.
A meat packaging department of a supermarket chain wished to evaluate the efficiency of their new vacuum sealing process. To do this they monitored the number of days it took for the packaged meat to spoil. The number of days follows a normal distribution with a standard deviation of 1.90 days. A sample of 60 packages gave a mean number of days to be 7.20. Calculate 90% and 97% confidence intervals for the mean number of days it takes for the meat to spoil.

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A meat packaging department of a supermarket chain wished to evaluate the efficiency of their new vacuum sealing process. To do this they monitored the number of days it took for the packaged meat to spoil. The number of days follows a normal distribution with a standard deviation of 1.90 days. A sample of 60 packages gave a mean number of days to be 7.20. Calculate 90% and 97% confidence intervals for the mean number of days it takes for the meat to spoil.

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