For #1-2, the train from Naperville to downtown Chicago is on time \(93\%\) of the time. Over the course of the year, suppose \(23\) trains are randomly selected.
1) Find the probability, to the nearest thousandth, that exactly \(21\) trains are on time.
2) Find the probability, to the nearest thousandth, that at least \(21\) trains are on time.
For #3-4, if a blue eyed mother and father have a particular type of gene, they have a \(\frac{3}{7}\) probability of having a blue-eyed baby.
3) If they have twins, what is the probability, to the nearest thousandth, that they are both blue-eyed?
4) If they have twins, what is the probability, to the nearest thousandth, that at least one of them will have light-hair?
5) The star high school basketball player makes a free throw shot \(96\%\) of the time.
a)If throughout the season, he takes \(43\) free throw shots, find the probability of missing less than \(3\) shots, to the
nearest thousandth.
b) What would the probability of each of his \(43\) shots have to be in order to have a \(95\%\) probability of getting all of his
shots in.
Solution Bank
1) Find the probability, to the nearest thousandth, that exactly \(21\) trains are on time.
2) Find the probability, to the nearest thousandth, that at least \(21\) trains are on time.
For #3-4, if a blue eyed mother and father have a particular type of gene, they have a \(\frac{3}{7}\) probability of having a blue-eyed baby.
3) If they have twins, what is the probability, to the nearest thousandth, that they are both blue-eyed?
4) If they have twins, what is the probability, to the nearest thousandth, that at least one of them will have light-hair?
5) The star high school basketball player makes a free throw shot \(96\%\) of the time.
a)If throughout the season, he takes \(43\) free throw shots, find the probability of missing less than \(3\) shots, to the
nearest thousandth.
b) What would the probability of each of his \(43\) shots have to be in order to have a \(95\%\) probability of getting all of his
shots in.
Solution Bank