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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