Supposed the length of copper wiring averages 1 defect every 200 ft what is the probability that a 400 foot stretch will have only 1 defect

We would like to know what is the probability that a standard 2.5-inch toothpick will fall on a line when the lines are parallel. In 1777, Buffon showed that the probability is p = 2/pie (squiggly equal sign) 0.636619 when the lines are also 2.5 inches apart. 1. Suppose we don't believe Buffon's proof. That is, we think that the probability of landing on the line is most definitely not p = 2/ pie. State the hypotheses for our research claim.

The probability that a certain type of sea turtle hatching survives until adulthood is assumed to be 1 out of 1,877.  If 980 hatchlings incubate in a certain nesting area, calculate the probability that at least 3 survive to adulthood. Use three decimal place accuracy.

What is the probability that a call signal comes from within 3 km of a tower has circular coverage area of radius 5 km?