The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 1% defective syringes.
(b)
Find 𝜇 (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)
𝜇 = syringes
What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)
(c)
What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)
(d)
Find 𝜎 (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)
𝜎 = syringes
From 1980 to 2008, the number B of federally insured banks could be approximated by B(t)=−329t+13773 where t is the year and t=0 corresponds to 1980.
Find the slope of the graph of B.
Find the area under the standard normal distribution by shading the direction of the following z- scores
1. To the left of z=2.246
2. To the right of z=2.10
Between z=1.50 and z=2.25
Let A*X = B, be a system of linear equations where A is a 3×3 matrix. Suppose det A = 8, det Ax = 24, det Ay = 16 and det Az = 0 then the solution set using Cramer’s rule is given by:
Please use the attached data to answer the questions from each of the scenarios. I will need the data and output from each scenario given to me separately using SPSS analysis.
Suppose a jar contains 13 red marbles and 31 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places.