Answer to Question #340170 in Statistics and Probability for Maneo

Question

1.Electric fuses produced by PEM Electric are packaged in boxes of 12 units each. Suppose an inspector randomly selects three of the 12 fuses in a box for testing. If the box contains exactly five defective fuses, what is the probability that the inspector will find exactly one of the three fuses defective?

• Find 𝐸(𝑋) and 𝑉ar(𝑋)

• What is the probability of finding at least 1 defective fuse?

2.There are 20 television sets in a village at a given time. 9 of them are tuned to channel 1,while 11 of them are tuned to channel 2. A sample of size 5 of the 20 sets is randomly selected at this specific time, and it is observed for each of the 5, whether the set is tuned to channel 1 or 2. Let X be the number of sets in the sample that are tuned to channel 1.

• A) What is the probability distribution function of X?

• B) What is the probability that 3 or more TV sets in the sample are tuned to channel 1?

• C) What is the expected value and variance of X?

Answer 1

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