Basic Probability
Describe all the cards in a deck (how many there are, amount of each suit, amount of face cards, etc)
Elsie will judge your response bc she doesn't want to type them all out
If a child is selected at random from the sample find the probability that they are a 4th grader and they spend less than 30 minutes playing outside every day.
0.3118
Elsie will judge your response.
Elsie will judge your answer
explain the empirical rule
Elsie will determine if you are correct but you should have said something about 68-95-99.7
A card is selected at random from a standard deck of cards. Find the probability that the card is a king or a black card.
0.5385
Elsie needs to draw the table about elementary school and playing outside.
A child is randomly selected from the sample. Find the probability they are a 5th grader or they spend less than 30 minutes playing outside every day.
0.8602
The number of pets per household of a random sample of people look like this:
0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,6,8,10 (yes I actually know somebody with 10 pets)
Find the mean, median, and mode of this data set
mean: 2.72 or about 3 because you can't really have 2.72 pets
median: 2
mode: 2
In a random sample, students were asked to rate (on a scale of 1-10) how much they liked the Harry Potter book series. The results were as following:
0 (wow we have a hater), 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10, 10
Find Q1, Q2, Q3, IQR, and if there are any outliers
Q1: 4
Q2: 6
Q3: 8
IQR: 4
outliers: none!
A sample found that the average age of marriage (for women) is 28 years old with a standard deviation of 3 years.
what is the percentage of people who get married younger than 25?
16.15%
You are randomly selecting two cards without replacement. Find the probability that the second card is a 6 given that the first card is a 6
0.0588
Use the table.
Given that the randomly selected child is a 4th grader, find the probability that this child spends at least 30 minutes playing outside every day.
0.3095
You are having a raging pizza party with all of your friends because you all love pizza so much. To host this party, you purchase 8 pepperoni pizzas for $10.90 each, 5 cheese pizzas for $10.20 each, one vegetarian pizza for $11.30, 1 gluten free pizza for $13.00, and 3 hot honey everything one could want pizzas for $13.60 each. Find the weighted mean.
$11.29 on average for a pizza
The height (in feet) of 20 t-rexes are listed below:
12, 12, 13, 14, 14, 15, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 20, 20
draw a box and whisker plot for this data
hint: you will need to know the min, max, Q1, Q2, and Q3
Elsie will judge your box and whisker plot because she can't draw one on here
A study found that the average age of marriage (for women) was 28 years old with a standard deviation of 3 years.
If you randomly select 400 people and collect data on how old they were when they got married, about how many of them would get married between the ages of 22 and 31?
326 people
The probability that an individual likes chocolate is 0.75. You randomly select 4 individuals. Find the probability that all 4 like chocolate.
0.3164
Use the same table yay!
If you randomly select 3 children with replacement, find the probability that all of them are 5th graders who spend less than 30 minutes playing outside every day.
0.0336
You are selecting 9 students at random from a pool of 20 sophomores and 26 seniors. Find the probability that 4 sophomores and 5 seniors will be selected.
0.2893
In a random sample, students were rate (on a scale of 1-10) how much they liked they Harry Potter book series. The results were as following:
0 (wow we have a hater), 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10, 10
what percentile corresponds to the rating of 8?
find the rating the corresponds to the 27th percentile
the 74th percentile
4
Find the z-score that corresponds to getting married at age 21. Would this age be considered unusual? (in math not in actual life to be clear I support whenever you want to get married)
-2.33
yes this is unusual because it is more than 2 standard deviations away from the mean on the left side.
The probability that an individual likes chocolate is 0.75. You randomly select 4 individuals. Find the probability that at least one person likes chocolate.
0.9961
Same table.
If you randomly select 3 children without replacement, find with probability that at least one child is in 4th grade who plays outside at least 30 minutes every day.
0.3669