APPLIED STATISTICS Unit 4 Progress Check: Part A
NOTES
A consumer group is investigating the number of flights at a certain airline that are
overbooked. They conducted a simulation to estimate the probability of overbooked
flights in the next 5 flights. The results of 1,000 trials are shown in the following
histogram.
Based on the histogram, what is the probability that at least 4 of the next 5 flights at the
airline will be overbooked?
0.446
Consider rolling two number cubes, each of which has its faces numbered from 1 to 6.
The cubes will be rolled and the sum of the numbers landing face up will be recorded.
Let the event E represent the event of rolling a sum of 5. How many outcomes are in the
collection for event E ?
4
In a certain population of birds, about 40 percent of the birds have a wingspan greater
than 10 inches. Biologists studying the birds will create a simulation with random
numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a
wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9
will model the population?
Let the digits from 0 to 3 represent birds with a wingspan greater than 10 inches and the
remaining digits represent birds with a wingspan less than or equal to 10 inches.
Each person in a group of twenty people at a hotel orders one meal chosen from
oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person
will be selected at random from the twenty people. What is the sample space for the
meal and beverage for the person selected?`
{(oatmeal, coffee), (oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes,
tea)}
At Mike's favourite coffee shop, the coffee of the day is either a dark roast, a medium
roast, or a light roast. From past experience, Mike knows that the probability of the
coffee being a light roast is 0.15 and the probability of the coffee being a dark roast is
0.25. What is the probability of the coffee of the day not being a light roast or a dark
roast on the next day that Mike visits the coffee shop?
0.60
Amy has 12 brown golf tees, 8 white golf tees, 10 red golf tees, 6 blue golf tees, and 12
green golf tees in her golf bag. If she selects one of the tees from the bag at random,
what is the probability that she selects a tee that is not brown or blue?
NOTES
A consumer group is investigating the number of flights at a certain airline that are
overbooked. They conducted a simulation to estimate the probability of overbooked
flights in the next 5 flights. The results of 1,000 trials are shown in the following
histogram.
Based on the histogram, what is the probability that at least 4 of the next 5 flights at the
airline will be overbooked?
0.446
Consider rolling two number cubes, each of which has its faces numbered from 1 to 6.
The cubes will be rolled and the sum of the numbers landing face up will be recorded.
Let the event E represent the event of rolling a sum of 5. How many outcomes are in the
collection for event E ?
4
In a certain population of birds, about 40 percent of the birds have a wingspan greater
than 10 inches. Biologists studying the birds will create a simulation with random
numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a
wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9
will model the population?
Let the digits from 0 to 3 represent birds with a wingspan greater than 10 inches and the
remaining digits represent birds with a wingspan less than or equal to 10 inches.
Each person in a group of twenty people at a hotel orders one meal chosen from
oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person
will be selected at random from the twenty people. What is the sample space for the
meal and beverage for the person selected?`
{(oatmeal, coffee), (oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes,
tea)}
At Mike's favourite coffee shop, the coffee of the day is either a dark roast, a medium
roast, or a light roast. From past experience, Mike knows that the probability of the
coffee being a light roast is 0.15 and the probability of the coffee being a dark roast is
0.25. What is the probability of the coffee of the day not being a light roast or a dark
roast on the next day that Mike visits the coffee shop?
0.60
Amy has 12 brown golf tees, 8 white golf tees, 10 red golf tees, 6 blue golf tees, and 12
green golf tees in her golf bag. If she selects one of the tees from the bag at random,
what is the probability that she selects a tee that is not brown or blue?
