6;
(a)
Out of 60, 6 parts are with excessive shrinkage and 60-6 = 54 are good. After selecting the first good item we have 59 items remaining out of which 6 are good. So the probability that second part selected is one with excessive shrinkage and first is good will be
p = (54/60) * (6/59) = 0.0915
(b)
The probability that third part selected is one with excessive shrinkage and first two are good will be
p = (54/60) *(53/59) * (6/58) = 0.0836
7:
If P(A and B) =P(A)P(B) then events A and B will be independent.
A batch of 40 injection-molded parts contains 6 parts that have suffered excessive shrinkage (a) If...
A batch of 40 injection-molded parts contains 6 parts that have suffered excessive shrinkage (a) If two parts are selected at random, and without replacement, what is the probability 6. that the second part selected is one with excessive shrinkage? (b) If three parts are selected at random, and without replacement, what is the probability that the third part selected is one with excessive shrinkage?
A batch of 536 containers for frozen orange juice contains 6 that are defective. Two are selected, at random, without replacement from the batch. a) What is the probability that the second one selected is defective given that the first one was defective? Round your answer to five decimal places (e.g. 98.76543). b) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321). c) What is the probability that both are acceptable? Round...
Many manufactuning companies use molded parts as components of a process Shrinkage is often a major problem Thus, a molded die for a part is built larger nominal size to allow for part shrinkage. In an injection modeling study, it is known that the shrinkage is influenced by many factors among which are the injection velocity in it sec and mold temperature in degrees Celsius. The accompanying data sets show the results of a designed experiment in which injection velocity...
2-108. + A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, with out replacement from the batch. (a) What is the probability that the second one selected is defective given that the first one was defective? (b) What is the probability that both are defective? (c) What is the probability that both are acceptable? Three containers are selected, at random, without replace- ment, from the batch. given that the first...
In a production facility ., a batch of three hundred products contains eight that are defective. Two are selected from batch, at random, without replacement * What is the probability that the second one selected is defective given that the firstone was defective? *What is the probability that both are def ective? *What is the probability that both are acceptable?
3. A day's production of 850 manufactured parts contains 50 parts that do not meet customer requirements. Three parts are selected randomly without replacement from the batch. What is the probability that first two parts are defective and the third is not defective?
Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and it was found that p1 -0.05 and p2 -0.01. Is it reasonable to conclude that both machines produce the same fraction of defective parts, using alpha = 0.057 Determine the sample size needed to detect this difference with a probability of at least 0.9 Use...
A shipment of 50 parts contains 12 defective parts. Suppose 3 parts are selected at random, without replacement, from the shipment. What is the probability that at least one part is defective? 0.5696 0.5610 0.1435 0.0427
A shipment of 40 parts contains 12 defective parts. Suppose 3 parts are selected at random, without replacement, from the shipment. What is the probability that exactly 2 parts are not defective?
A shipment of 60 parts contains 9 defective parts. Suppose 3 parts are selected at random, without replacement, from the shipment. What is the probability that at most one part is not defective? Options: 0.9439 0.0887 0.0561 0.0296