Alonzo's Bakery is giving a treat to each customer at a grand opening event. Each customer spins a wheel to determine which treat they get. Every customer has a 32% chance of getting a cupcake, a 52% chance of getting a brownie, and a 16% chance of getting a muffin.Alonzo wants to simulate what could happen for the first ten customers.So for each customer, he generates a random whole number from 1 to 100 .(a) What is a range of values that Alonzo can use to represent a customer getting a brownie?□ to □(b) Here is Alonzo's simulation.\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|}\hline Customer & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline Random number & 48 & 83 & 1 & 53 & 52 & 23 & 8 & 10 & 37 & 85 \\\hline\end{tabular}Using your answer in part (a), find the percentage of the 10 simulated customers who got a brownie.□%
Q. Alonzo's Bakery is giving a treat to each customer at a grand opening event. Each customer spins a wheel to determine which treat they get. Every customer has a 32% chance of getting a cupcake, a 52% chance of getting a brownie, and a 16% chance of getting a muffin.Alonzo wants to simulate what could happen for the first ten customers.So for each customer, he generates a random whole number from 1 to 100 .(a) What is a range of values that Alonzo can use to represent a customer getting a brownie?□ to □(b) Here is Alonzo's simulation.\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|}\hline Customer & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline Random number & 48 & 83 & 1 & 53 & 52 & 23 & 8 & 10 & 37 & 85 \\\hline\end{tabular}Using your answer in part (a), find the percentage of the 10 simulated customers who got a brownie.□%
Allocate Percentages: To find the range for brownies, we need to allocate the percentages to the numbers 1 to 100. Since cupcakes have a 32% chance, they would take the first 32 numbers. Brownies come next with a 52% chance.
Calculate Brownies Range: The range for brownies starts after the last number for cupcakes. So, it starts at 33 and goes up to 33+52−1=84. The range for brownies is 33 to 84.
Count Numbers in Range: Now, we count how many random numbers fall within the range for brownies. The numbers in the simulation are 48, 83, 1, 53, 52, 23, 8, 10, 37, and 85. Numbers 48, 83, 53, and 52 are in the range for brownies.
Calculate Percentage: There are 4 numbers within the range for brownies out of 10 customers. To find the percentage, we calculate (104)×100%=40%.