The license plates in Texas follow the same pattern when they are created:
two letters (26 in the alphabet) followed by four digits (from 0-9). ___ ___ ___ ___ ___ ___
How many license plates are possible if the letters and digits can be repeated?
Hint: you need to decide 'does order matter'?
Think about the # of options for each spot.
Required
2 points
2
Question 2
2.
Consider the following probability model, it shows the probabilities associated with the number of raffle tickets purchased by each customer.
What is the probability a randomly selected customer buys 3 raffle tickets?
Required
2 points
2
Question 3
3.
Consider the following probability model associated with the type of sneakers worn by high school basketball players in Massachusetts.
What is the probability a randomly selected Massachusetts high school basketball player wears Adidas OR Nike sneakers?
Required
2 points
2
Question 4
4.
Consider the following probability model associated with the type of sneakers worn by high school basketball players in Massachusetts.
What is the probability a randomly selected Massachusetts high school basketball player wears Adidas AND Nike sneakers?
Round your decimal to four places past the decimal point.
Required
2 points
2
Question 5
5.
Two events are said to be mutually exclusive if:
Required
2 points
2
Question 6
6.
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10,000.
Each play of the lottery is independent of the next play.
Explain what it means that 'each play is independent of the next play'.
Required
2 points
2
Question 7
7.
A human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is 0.75.
If we take a random sample of 4 employees, what's the probability that all of them arrive on time?
P(ontime, ontime, ontime, ontime)=
Enter your answer as a decimal.
Round your answer to three places past the decimal.
Required
2 points
2
Question 8
8.
A human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is 0.75.
If we take a random sample of 4 employees, what's the probability that none of them arrive on time?
P(not ontime, not ontime, not ontime, not ontime)=
Enter your answer as a decimal.
Round your answer to three places past the decimal.
Required
2 points
2
Question 9
9.
A human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is 0.75.
If we take a random sample of 4 employees, what's the probability that at least one of them arrives on time? Hint: check Lesson 4.6
Enter your answer as a decimal.
Round your answer to three places past the decimal.
Required
4 points
4
Question 10
10.
A large bakery has many different products for sale.
Suppose that 200 customers come in between 6 am and 10 am.
Of the 200 customers, a total of 140 order donuts, a total of 100 order cinnamon rolls and 80 order both.
Suppose a customer is randomly selected:
a. Fill in the Venn Diagram in the 'show your work' area to model this situation. Make sure to label the circles: Donuts and Cinnamon Rolls.
b. Find P(no donuts and no cinnamon rolls):
Enter your answer as a fraction, decimal OR percent but not all three.
Required
4 points
4
Question 11
11.
A large bakery has many different products for sale.
Suppose that 200 customers come in between 6 am and 10 am.
Of the 200 customers, a total of 140 order donuts, a total of 100 order cinnamon rolls and 80 order both.
Suppose a customer is randomly selected:
a. Fill in the two way table to match the scenario.
b. Find P(donuts or cinnamon rolls):
Enter your answer as a fraction, decimal OR percent but not all three.
Required
2 points
2
Question 12
12.
Use the information from #10 or 11:
Given a person ordered donuts, what is the probability that they order cinnamon rolls?
Enter your answer as a decimal, round to three places.
Required
4 points
4
Question 13
13.
The Blue Bottle Diner employs three dishwashers.
Al washes 40% of the dishes and breaks only 1% of those he handles.
Debra and Carl each wash 30% of the total dishes.
Debra only breaks 1% of hers, but Carl breaks 15% of the dishes he washes.
(Carl, of course, will need a new job soon...)
a. Use the recording document to create a tree diagram.
b. Find the probability that a randomly selected dish is broken by Carl.
P(broken dish by Carl)=
Enter your answer as a decimal, round to three places.
Required
2 points
2
Question 14
14.
The Blue Bottle Diner employs three dishwashers.
Al washes 40% of the dishes and breaks only 1% of those he handles.
Debra and Carl each wash 30% of the total dishes.
Debra only breaks 1% of hers, but Carl breaks 15% of the dishes he washes.
(Carl, of course, will need a new job soon...)
Find the probability that a randomly selected dish...
P(broken dish by Al OR Debra OR Carl)=
Enter your answer as a decimal, round to three places.
Required
2 points
2
Question 15
15.
Use the information from #14:
You go to the Blue Bottle for lunch one day.
While eating you hear a dish break at the sink, what is the probability that Carl broke the dish?
P(Carl | broken dish)=
Hint: what goes in the denominator when it is a 'given' question?
Enter your answer as a decimal, round to three places.
Required
2 points
2
Question 16
16.
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in the department: 11 males and 14 females.
The employer wants to know how many ways there are to give vacation hours to 6 of the employees.
Is this a permutation or a combination? Why?
Select the correct answer.
Required
2 points
2
Question 17
17.
What is the correct notation for the permutation or combination from #16?
Required
2 points
2
Question 18
18.
How many groups are possible for the permutation or combination from #16 & 17?
Enter your answer as a number only, no units.
Required
2 points
2
Question 19
19.
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in the department: 10 males and 15 females.
The employer wants to know how many groups of 3 males and 3 females are possible if she chooses 6 employees from the list at random.
Hint: this is 2 combinations
Enter your answer as a number only, no units.
Required
2 points
2
Question 20
20.
Using the information from #18 & 19:
What is the probability that the employer randomly chooses 3 males and 3 females from the group of employees?
Hint: you need to create a fraction.
Enter your answer as a decimal, round to three places.
Required
2 points
2
Question 21
21.
A soccer team has 12 players on the field at the end of a scoreless game.
According to the league rules, the coach must select 5 of the players and designate an order in which they will take penalty kicks.
Is this a permutation or combination? Do you think the order in which the players kick the penalty kicks matters?
Required
2 points
2
Question 22
22.
#21 Continued:
How many different ways are there for the coach to create the list of 5 players to take penalty kicks?
Enter your answer as a number only, do not include units.