Question

In: Statistics and Probability

A certain type of toy-cars requires three AAA batteries, and the toy-cars will work only if...

A certain type of toy-cars requires three AAA batteries, and the toy-cars will work only if all its batters have acceptable voltages. Assume that all the toy-cars contain batteries from the same supplier and that 90% of all batteries from this supplier have acceptable voltages.

  1. What is the probability that a randomly selected toy-car is in working condition?

Now, in order to test the acceptance of the toy-cars from the same supplier, a quality control engineer randomly selects 10 toy-car from a lot. Suppose every selection are independent and X is a random variable showing the number of acceptable toy-cars out of 10.

  1. What is the probability that among 10 randomly selected toy-cars that exactly half will work?
  2. What is the probability that at least 2 toy-cars are functional out of 10?
  3. What is the expected number of toy-cars that are acceptable? Interpret its meaning in the context of this problem.
  4. What is standard deviation of toy-cars that are acceptable?

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Expert Solution

orchestra answered 1 year ago
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