Assume that a certain batch of 200 castings contains 5 defectives. Calculate the probability that of...

Assume that a certain batch of 200 castings contains 5 defectives. Calculate the probability that of three castings selected, exactly one will be defective. Answer: 0.0720 (Show work and reasoning!)

Expert Solution

TOPIC:Hypergeometric distribution,Classical definition of probability.

milcah answered 1 month ago

A batch of 50 different automatic typewriters contains exactly 10 defective machines. What is the probability...

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The probability that a radio will last more than 5 years is 0.87. From a batch...

The probability that a radio will last more than 5 years is 0.87. From a batch of 400 such radios, what is the probability that: a) More than 327 and less than 349 radios will last more than 5 years? b) Exactly 356 of them will last more than 5 years? c) Less than 368 of them will last more than 5 years?

5. Calculate the conditional probability distribution

| | a1 | a2 | |----|------|------| | b1 | 0.37 | 0.16 | | b2 | 0.23 | ? | 5. Calculate the conditional probability distribution, ?(?|?)P(A|B). 6. Calculate the conditional probability distribution, ?(?|?)P(B|A). 7. Does ?(?|?)=?(?|?)P(A|B)=P(B|A)? What do we call the belief that these are always equal? 8. Does ?(?)=?(?|?)P(A)=P(A|B)? What does that mean about the independence of ? and B?

A batch of 500 disks contains 5 defectiv disks. Two are selected randonly without replacement, from...

A batch of 500 disks contains 5 defectiv disks. Two are selected randonly without replacement, from the batch. Let A and B denote the events that the first and the second selected disks are defective, respectively. a) Are A and B independents events? b) If the samplins was done with replacement, would A and B be independent?

1. The sample space contains 5 As and 7 Bs. What is the probability that a...

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A tank contains 200 gallons of water that has 5 lbs of salt already in it....

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Question Consider the following table. Defects in batch Probability 2 0.35 3 0.23 4 0.20 5...

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Use the Central Limit Theorem to calculate the following probability. Assume that the distribution of the...

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For the following, Calculate the Probability and Type II errors. Assume an level of significance of...

For the following, Calculate the Probability and Type II errors. Assume an level of significance of α= 0.05 . •Q1: For testing Ha: u < 62, true population standard deviation= 15, sample size = 64, and we miraculously know that our true population mean is really 60. What is the type II error? Power? Also is our Power up to par (at least 0.8). •Q2: For testing Ha: u >65, true population standard deviation = 12, sample size = 36,...

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