1. (a) The quality assurance engineer of a television manufacturer inspects TVs in lots of 100....
1. (a) The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of the 100 TVs in the current lot are defective, find the probability that exactly 2 of the 5 TVs selected by the engineer are defective. (5 marks)
(b) I bought 6 apples yesterday. I chose them in a pile of 100 apples in which 10 cooking apples (sour apples) were put in by the shop boss to lower the cost. Find the probability that at most two of the apples I bought tastes sour.
2. Hypertension is a common chronic disease among overweighed people. From a survey, 34.6% people who are overweighed are suffering from hypertension, in Macau. If a random sample of 200 people in Macau who are overweighed was selected, find the probability that who get hypertension is,
a. exactly 75 in the sample.
b. at most 60 of those in the sample.
c. between 70 and 120, inclusive.
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1. (a) The quality assurance
engineer of a television manufacturer inspects TVs in lots of 100....
A quality control engineer inspects a random sample of 30 calculators from an incoming batch of...
A quality control engineer inspects a random sample of 30 calculators from an incoming batch of size 150 and accepts the lot if at most 4 are not in working condition; otherwise the entire lot must be inspected with the cost charged to the vendor. Suppose the lot contains 5 defective calculators. a.) What is the probability that such a lot will be accepted without further inspection? b.) Given the third calculator tested is the first calculator to be defective,...
a random sample of 100 us individuals were selected from a population. the probability of having...
a random sample of 100 us individuals were selected from a population. the probability of having hypertension is about 24%. What is the probability that there are at most 30 people in the sample who have hypertension? Round to 3 decimal places
Problem no. 20 An engineer responsible for the control of the quality in the company where...
Problem no. 20 An engineer responsible for the control of the quality in the company where she works receives a batch of 200 parts used in the computers that they build. She decides to pick 10, at random and without replacement, and to test them. Let E be the random experiment that consists in counting the number of defective parts among 2.6 Exercises, Problems, and Multiple Choice Questions 37 the I0 parts tested. Answer the following questions by assuming that...
1.) Suppose that a box contains 8 cameras and that 3 of them are defective. A...
1.)
Suppose that a box contains 8 cameras and that 3 of them are
defective. A sample of 2 cameras is selected at random. Define the
random variable X as the number of defective cameras in the
sample.
Hint: Make a probability tree for selecting 2 cameras without
replacement.
Write the probability distribution for X.
k
P(X=k)
What is the expected value of X?
2.)
Assume that a procedure yields a binomial distribution with a
trial repeated n=5n=5 times. Find...
2. Among 150 people interviewed as part of an urban mass transportation study, 84 ive more...
2. Among 150 people interviewed as part of an urban mass transportation study, 84 ive more than Skm from the c ity centre (4), 99 regularly drive to work (B), 85 would gladly switch to public mass transportation if it were available (C), 74 are both A and B. 8 are A and C only, 9 are B and Conly, and 27 are none of the three categories. Find 3. At an electronic plant, it is known from past experience...
(2) yn Corporation manufactures computers chips. The machine that is used to make this chips is...
(2) yn Corporation manufactures computers chips. The machine that is used to make this chips is known to p than 4% defective chips, it needs an adjustment. The quality control inspector often selects sam of chips and inspects them for being good or defective. One such random sample of 200 chips taken recent ly from the production line contained 14 defective chips at the α-5% level of signif- cance,test whether or not the data give sufficient evidence to warrant an...
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint...
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean μ = 6 ml and standard deviation σ = 0.2 ml is a reasonable model for the distribution of the variable x = amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round your answers to four decimal places.) (b) P(x < 6.2)= (d) P(5.6 < x...
apter 1. Consider the following data on distances traveled by 100 people to visit the local...
apter 1. Consider the following data on distances traveled by 100 people to visit the local park. 1-8 30 25 20 15 10 9-16 17-24 25-32 33-40 Expand and construct the table adding columns for relative frequency and cumulative relative frequency. Then plot Histogram, Frequency Polygon and Ogive Curve. 2. Math test anxiety can be found throughout the general population. A study of 200 seniors at a local high school was conducted. The following table was produced from the data....
1. A certain medical test is known to detect 72% of the people who are afflicted...
1. A certain medical test is known to detect 72% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that: All 10 have the disease, rounded to four decimal places? .0374 At least 8 have the disease, rounded to four decimal places? At most 4 have the disease, rounded to four decimal places? Please show the steps in Microsoft excel...
#2 c ENGR 320 Spring 2018 Test Number Two 1. 1. A distributor receives a large...
#2 c
ENGR 320 Spring 2018 Test Number Two 1. 1. A distributor receives a large number of components. The distributor will tike to accept the shipment if 10% or fewer of the components are defective and to return it if more than 10% of the components are defective. She decides to sample 10 components and to return the shipment if more than 1 of the 10 is defective. If the proportion of defectives in the batch is in fact...
Problem no. 20 An engineer responsible for the control of the quality in the company where she works receives a batch of 200 parts used in the computers that they build. She decides to pick 10, at random and without replacement, and to test them. Let E be the random experiment that consists in counting the number of defective parts among 2.6 Exercises, Problems, and Multiple Choice Questions 37 the I0 parts tested. Answer the following questions by assuming that...
1.)
Suppose that a box contains 8 cameras and that 3 of them are
defective. A sample of 2 cameras is selected at random. Define the
random variable X as the number of defective cameras in the
sample.
Hint: Make a probability tree for selecting 2 cameras without
replacement.
Write the probability distribution for X.
k
P(X=k)
What is the expected value of X?
2.)
Assume that a procedure yields a binomial distribution with a
trial repeated n=5n=5 times. Find...
2. Among 150 people interviewed as part of an urban mass transportation study, 84 ive more than Skm from the c ity centre (4), 99 regularly drive to work (B), 85 would gladly switch to public mass transportation if it were available (C), 74 are both A and B. 8 are A and C only, 9 are B and Conly, and 27 are none of the three categories. Find 3. At an electronic plant, it is known from past experience...
(2) yn Corporation manufactures computers chips. The machine that is used to make this chips is known to p than 4% defective chips, it needs an adjustment. The quality control inspector often selects sam of chips and inspects them for being good or defective. One such random sample of 200 chips taken recent ly from the production line contained 14 defective chips at the α-5% level of signif- cance,test whether or not the data give sufficient evidence to warrant an...
apter 1. Consider the following data on distances traveled by 100 people to visit the local park. 1-8 30 25 20 15 10 9-16 17-24 25-32 33-40 Expand and construct the table adding columns for relative frequency and cumulative relative frequency. Then plot Histogram, Frequency Polygon and Ogive Curve. 2. Math test anxiety can be found throughout the general population. A study of 200 seniors at a local high school was conducted. The following table was produced from the data....
#2 c
ENGR 320 Spring 2018 Test Number Two 1. 1. A distributor receives a large number of components. The distributor will tike to accept the shipment if 10% or fewer of the components are defective and to return it if more than 10% of the components are defective. She decides to sample 10 components and to return the shipment if more than 1 of the 10 is defective. If the proportion of defectives in the batch is in fact...
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