SOLUTION: 1. –/2 points Notes Problem 7-22 A food-packaging apparatus underfills 20% of the containers. Find the probability that for any particular 10 containers the number of underfilled

Algebra ->  Probability-and-statistics -> SOLUTION: 1. –/2 points Notes Problem 7-22 A food-packaging apparatus underfills 20% of the containers. Find the probability that for any particular 10 containers the number of underfilled       Log On


   



Question 361581: 1. –/2 points Notes
Problem 7-22 A food-packaging apparatus underfills 20% of the containers. Find the probability that for any particular 10 containers the number of underfilled will be:
Note: This question uses a tolerance of .0001 for grading. Make sure your answers are entered to the fifth decimal place.
Example: .00123
(a) exactly 2
Pr=
(b) exactly 5
Pr=
(c) exactly 8
Pr=
(d) at least 3
Pr=

2. –/2 points Notes
Problem 7-24 Suppose that 30% of the applicants to an engineering school are women. An admissions committee reviews applications in groups of 100. Find the probability that the number of women in the next group is:
Note: This question uses a tolerance of .0001 for grading. Make sure your answers are entered to the fifth decimal place.
Example: .00123
(a) less than or equal to 21
Pr=
(b) between 25 and 40 inclusively
Pr=
(c) greater than 30
Pr=
(d) less than 7
Pr=
(e) exactly 30
Pr=
(f) greater than 54
Pr=

3. 0/2 points All Submissions Notes
Problem 7-28 A student selects his answers on a true/false examination by tossing a coin (so that any particular answer has a .50 probability of being correct). He must answer at least 70% correctly in order to pass. Find his probability of passing when the number of questions is
(a) 10
Pr=210
(b) 20
Pr=
(c) 50
Pr=
(d) 100
Pr=

4. –/2 points Notes
7.30 A quality-control inspector rejects any shipment of printed circuit boards whenever 3 or more defectives are found in a sample of 20 boards tested. Find the (1) expected number defective and (2) the probability of rejecting the shipment when the proportion of defectives in the entire shipment is
(a) Proportion of Defectives=0.01
Expected Number Defective=
Probability of Rejecting the Shipment=
(b) Proportion of Defectives=0.05
Expected Number Defective=
Probability of Rejecting the Shipment=
(c) Proportion of Defectives=0.1
Expected Number Defective=
Probability of Rejecting the Shipment=

5. –/2 points Notes
Problem 7-32 An engineer has designed a modified welding robot. The robot will be considered good enough to manufacture if it misses only 1% of its assigned welds. And it will be judged a poor performer if it misses 5% of its welds. (In-between possibilities are not considered.) A test is performed involving 100 welds. The new design will be accepted if the number of missed welds R is 2 or fewer and rejected otherwise.
(a) What is the probability that a good design will be rejected?
Probability=
(b) What is the probability that a poor design will be accepted?
Probability=

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