University:
Missouri State University
Course:
MTH 343 | Foundations of Probability and Statistics for Teachers
Academic year:

2022
Views:

28

Pages:

1
Author:

grosikesf4

Statistics Quiz B-Chapter 14-Key A new clothing store advertises that during its Grand Opening every customer that enters the store can throw a bouncy rubber cube onto a table that has squares labeled with discount amounts. The table is divided into ten regions. Five regions award a 10% discount, two regions award a 20% discount, two regions award a 30% discount, and the remaining region awards a 50% discount. Show your work. 10 30 10 30 10 20 10 50 10 20 1. What is the probability that a customer gets more than a 20% discount? ))=2+1=3=0.3 P(more than 20%) = P(3050) = P(30) + P(50)= 10 10 10 2. What is the probability that a customer gets less than a 20% discount? 5 P(less than 20%) = P(10)==0.5 10 3. What is the probability that the first two customers both get a 50% discount? P(50050) = P(50)- P(50) = (10)-100=0.01 4. What is the probability that none of the first three customers gets more than a 30% discount? P(not over 30%) 1-P(50%) 1-0.1-0.9 P(three in a row not over 30%) (0.9) - 0.729 5. What is the probability that the first customer to win a 30% discount is the sixth customer that enters the store? P(not 30%)=1-P(30%)=1-2=0.8 10 P(5 not 30%, then 30%) = (0.8) (0.2)=0.065536-0.07 6. What is the probability that there is at least one customer to win a 50% discount among the first five customers that enter the store? P(at least one 50% in five) 1P(no 50% in five) 1-1-0.59049 0.40951-0.41 7. As you enter the store you watch the four people in front of you all win 50% discounts. The store manager tells you how lucky you are to be throwing the cube while it is on a hot streak, but the friend with you says you're unlucky because the streak can't continue. Comment on their statements. The tosses are independent, so if the table and cube are fair the four winners in front have no effect on the next person's chances of tossing a 50% discount.