Ex 7.2, 4

Transcript

Ex 7.2, 4 Toss a paper cup into the air 100 times. After each toss record whether the cup lands on its bottom, upside down on its top or on its side (See Fig. 7.5). Assign probabilities to the outcomes by using experimental probability. After tossing a cup 100 times (which took so long!), here are the results Let’s find Probability of each P(landed on bottom) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑖𝑚𝑒𝑠 𝑖𝑡 𝑙𝑎𝑛𝑑𝑒𝑑 𝑜𝑛 𝑏𝑜𝑡𝑡𝑜𝑚)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑜𝑠𝑠𝑒𝑠) = 44/100 = 0.44 P(landed on top) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑖𝑚𝑒𝑠 𝑖𝑡 𝑙𝑎𝑛𝑑𝑒𝑑 𝑜𝑛 𝑏𝑜𝑡𝑡𝑜𝑚)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑜𝑠𝑠𝑒𝑠) = 14/100 = 0.14 P(landed on side) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑖𝑚𝑒𝑠 𝑖𝑡 𝑙𝑎𝑛𝑑𝑒𝑑 𝑜𝑛 𝑠𝑖𝑑𝑒)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑜𝑠𝑠𝑒𝑠) = 42/100 = 0.42