(A) Suopces the current measurements in a strip of wire are normally distributed withca-10(mA) and a varieocom (mA)²1- What is the probability that a current measurement lies between 7.4 and 11.6 mA?2-Drew the probability density function of the current distribution.(8) A factory produces light bulbs with a koown probability of P(D)-0.08 that & bulo isdalective. If a bulb is defective, the probability that the quality control test detects it isdefective is P(TID)-0.90. Conversely, if a bulb is not defective, the probability that the testTelesly indicaton k as defective is P(TID)-0.05. calculate the probability that a light bis notually defective given that the test result is positive, F(DIT).

Step 1: (A) 1. Suppose a random variable x defines the current measurement in a strip of a randomly…

Answered: (A) Suopces the current measurements in…

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Question

(A) Suopces the current measurements in a strip of wire are normally distributed with
ca-10(mA) and a varieocom (mA)²
1- What is the probability that a current measurement lies between 7.4 and 11.6 mA?
2-Drew the probability density function of the current distribution.
(8) A factory produces light bulbs with a koown probability of P(D)-0.08 that & bulo is
dalective. If a bulb is defective, the probability that the quality control test detects it is
defective is P(TID)-0.90. Conversely, if a bulb is not defective, the probability that the test
Telesly indicaton k as defective is P(TID)-0.05. calculate the probability that a light b
is notually defective given that the test result is positive, F(DIT).

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