contestada

9. penicillin is produced by the penicillium fungus, which is grown in a broth whose sugar content must
be carefully controlled. the optimum sugar concentration is 4.9mg/ml. if the concentration exceeds
6.omg/ml, the fungus dies and the process must be shut down for the day. a supplier has got broth
x that is normally distributed with mean 5.2 mg/ml and standard deviation 0.4mg/ml. broth y is
normally distributed with mean 4.9mg/ml with variance 0.36mg/ml?.
a) calculate the proportion of days for which the process will shut down for both broth x and broth
y
b) make a recommendation to your manager as to which broth should be bought

Respuesta :

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.

How to compute the number of days?

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

Learn more about normal distribution on:

https://brainly.com/question/4079902

#SPJ1

Otras preguntas