Search problems

2 problems match “relative frequency”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Estimating red balls from draw frequencies ●○○○○ 10 ptsAn opaque bag contains a total of $20$ balls, each either red or white, identical except for color. A ball is drawn at random, its color is noted, and it is put back; this is repeated many times. The results are: - out of $50$ draws, $11$ red - out of $100$ draws, $27$ red - out of $200$ draws, $50$ red - out of $500$ draws, $124$ red - out of $800$ draws, $201$ red - out of $1000$ draws, $249$ red Estimate the number of red balls in the bag.
2. High-sulfur oil samples in a container ●●○○○ 20 ptsA container designed for 300 oil samples is almost completely full. Each sample is either low-sulfur or high-sulfur, and either light or heavy. The relative frequency of heavy oil samples is $\frac{1}{8}$, and the relative frequency of light low-sulfur oil samples is $\frac{22}{37}$. Assume the total number of samples is the largest number not exceeding 300 that is consistent with these frequencies. Assume there are no low-sulfur samples among the heavy samples. How many high-sulfur oil samples are in the container?