The proportion of days for which the process will shut down for both broth x and broth in the distribution are 2.28 days and 3.34 days.
<h3>How to compute the number of days?</h3>
Mean ( u ) =4.9
Standard Deviation ( sd )=0.6
Normal Distribution = Z= (x - u)/SD
a. P(X > 6) = (6-5.2)/0.4
= 0.8/0.4 = 2
= P ( Z >2)
From the standard normal table.
= 0.0228 = 2.28 days
Broth x = 2.28 days
P(x > 6) = (6-4.9)/0.6
= 1.1/0.6 = 1.8333
= P ( Z >1.833)
From the standard normal table
= 0.0334 = 3.34 days
Broth y = 3.34 days.
The recommendation to the manager as to the broth that should be bought is broth x since it requires lesser days
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