Q1.

The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) A A (a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no X b O malfunction. . l] A (b) Find the standard deviation ofp. D A (c) Compute an approximation for P(p 2 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places. [1 units Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.2 . Suppose also that units exactly 95% of healthy individuals have TSH levels below 6.2 . Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry mL your intermediate computations to at least four decimal places. Round your answer to at least two decimal places