Binomial Distribution
Probability Density Functions
Conditional or Compliment
Addition or Multiplication Rule
Potpurri
100
•In a large population, about 20% of people do not like the taste of chocolate chip cookies. A researcher takes a random sample of 20 people and surveys whether they like chocolate chips cookies.
•Use the binomial distribution to compute the probability that exactly 9 of the people in the sample do not like chocolate chip cookies.
•Identify the following information required to find the probability of people who do not like the taste of chocolate chip cookies.
•Identify p, x, and n.
What are p=0.20, n= 20, x=9?
100
What is the expected value of the following distribution?
What is 19.45?
100
•Jan has cards numbered 1-50, this is the probability of NOT getting a multiple of 5.
What is 40/50 or 4/5?
100
•Suppose A and B are mutually exclusive events, and that P(A)= 0.19 and P(B)= 0.68. This is the P(A or B).
What is 0.87?
100
•Elli has several types of candies in her bag. She has 5 red, 4 blue, 3 orange, and 2 yellow. If Elli selects a candy at random, this is the probability that she selects a red one?
What is 5/14?
200
When giving an exam the probabability of getting a questions right it 0.20 and getting it wrong is 0.80. If the test has 14 questions this is the probability of getting exactly 11 correct.
What is 0.0000038?
3.8168E-6
200
Given the following probability distribution, find the mean and standard deviation.
What is mean of 3, and standard deviation of 1.22?
200
•The following table shows the results of 130 kids. Please fill in the blanks.
Answer will be shown by teacher.
200
•If the probability of having a chicken is .35 and the probability of having a rabbit is .40, and the probability of having a chicken and rabbit is .15, this is the probability of a chicken or rabbit?
What is 0.60?
200
•If Giovanni flips a coin 18 times and 10 of them come up heads, this is the probability of getting tails?
What is 8/18 or 4/9?
300
This is the probability of getting at most 5 balls into a basket when performing the experiment 10 times and probability of success is 0.45.
What is 0.7384?
300
Given the following chart this is:
•Find the p(17)
•Find the probability of at least 19.
•Find the probability of less than 22.
What is P(17) = 0.23,
at least 19 = 0.62, and
less than 22 = 0.63?
300
This is the probability one person being selected have blue item, given they have a bicycle.
What is 26/53?
300
•If A and B are independent events with P(A) = .35 and P(A and B)= .175, this is P(B).
What is 0.5?
300
These are the mutually exclusive events from the list below:
A) Rolling an odd on a die or Rolling a 5.
B) Rolling a 5 on a die or Rolling a 2.
C) Rolling a 2 on a die or Rolling an odd.
D) Rolling an even on a die or Rolling a 5.
What are B, C and D?
400
This is the probability of earning at least 10 holes in one on an 18 hole course, when the probability of success at each hole is 0.15.
What is 0.000 or 7.85695E-5 or 0.0000786?
400
What are A?
400
This is the probability the selected person has a house given their item is green.
What is 8/39?
400
If the probability of a student taking a math class is 0.70, the probability of taking a physics class is 0.30, and the probability of taking a math class and a physics class is 0.15, this is the probability of a student taking a math class or a physics class.
What is 0.85?
400
•Let X be the event that a randomly chosen person drinks sixty-four ounces of water per day. Let Y be the event that a randomly chosen person has varicose veins. Place the correct event in each response box below to show:
•Given that the person drinks sixty-four ounces of water per day, the probability that a randomly chosen person has varicose veins.
P(____/____)
What is Y/X ?
500
When asking second grade students if they like lunch at school 93 out of 123 students state that they do like lunch. If 15 second graders are randomly chosen this is the probability that less than 5 of them would like lunch.
What is 0.00009046?
500
This is the missing value in the probability density function below.
What is 0.25?
500
•A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a Blue cards, E the event of drawing an even numbered card, and O be the event of drawing an odd card.
•Drawing the Blue 1 is one of the outcomes in which of the following events? Select all correct answers.
•1. R AND E
2. R AND O
3. B AND O
4. R’
5. B AND E
6. B’
What are C and E?
500
The probability that an adult visits their dentist annually is 0.58. The probability that an adult has mouth pain given that they visit their dentist annually is 0.34. This is the probability that an adult has mouth pain and visits their dentist annually.
What is 0.1972?
500
A pediatrician has smallpox vaccines numbered 1,2,3, chickenpox vaccines numbered 1,2,3,4,5,6, and influenza vaccines numbered 1,2. If a single vaccine is picked at random, this is the probability that it is not an influenza vaccine.
What is 9/11?