Question

The Chime Company manufactures circuit boards for use on electric clocks. Much of the soldering work on the circuit boards is performed by hand and there are a proportion of the boards that during the final testing are found to be defective. Historical data indicates that of the defective boards, 60% can be corrected by redoing the soldering. The distribution of defective boards follows a binomial distribution.

Directions: Round up to 3 digits after the decimal point.
You may use either the binomial formula, or the Binomial Table or the Binomial Cumulative Table.

 Choose a value for the number of trials between 7 and 10. It must be an integer. This is n.

1. what is the probability that exactly 3 boards can be corrected?

2. what is the probability that at most 5 boards can be corrected?

3. compute P(2 ≤ X < 4).

Answer 1