Statistics
An investigator uses binoculars to watch 20 fishes in Indian River. It is discovered that 5 are Snook fishes, 9 are Redfish and 6 are Tarpon fishes. What type of study is this?
Observational Study
Diego rolls two dice, what is the probability that in the first one a 6 lands and a 4 lands in the second dice? What type of problem is this?
Independent
Ms. Quiroz is taking care of a kindergarten class and they need to move to another classroom, to move they need to form an organized line. If there are 13 kids, in how many ways can the line be formed?
13! = 6227020800
A farmer wants to know the approximate weight of the cows on his farm. He found out that the average weight was 1,200 lbs. Is the variable quantitative or qualitative?
Quantitative
Guadalupe has a bag of marbles with 5 blue, 6 green and 4 yellow marbles inside, each time she takes one, she keeps it. What is the probability of taking a blue marble and then a green marble? What type of problem is this?
Dependent
At CAT, Ms. Quiroz's class wants to create a student committee made out of 3 people, they would be having the same job. If there are 15 students in the class, in how many ways can this be done?
15 C 3 = 455
Diego plans to graph the growth of his new born brother, if he graphs his height since the day he was born until he is 10 years old, what measurement level is it?
Ratio
Jamal has a set of dominoes (28 total tiles) inside a bag, what is the probability that he takes out the tile with two 1’s or the tile with two 6’s? Round to nearest thousandth.
P(Two 1’s or Two 6’s) = 1/28 + 1/28 = .071
Natalia needs a new password for her Gmail Account, she wants a password with 6 available spaces, in how many ways can she create a new password if the first space needs to be a letter then a number then a letter and so on if her preference is no repetition?
26 * 10 * 25 * 9 * 24 * 8 = 11232000
What type of data measurement is from the example?
How would you describe your behavior?
E - extrovert
I - introvert
A - both
Nominal
Marquis has a deck of cards (52 cards), what is the probability of taking out a heart or a king? Round to nearest tenth.
P(Heart or King) = 13/52 + 3/52 = .3
A group of 8 people at Microsoft want to make a committee with 4 different positions, in how many ways can the positions be distributed?
8 P 4 = 1680
A bag contains six blue balls and five red balls. A sample of four balls is selected at random from the bag. What is the probability that the sample contains two blue balls and two red balls? Round to nearest hundredth.
nCr (6,2) * nCr (5,2) = 150
Total nCr (11,4) = 330
P(Blue and Red balls) = 5/11 or .45
A medical company is making a new pill to combat insomnia. They are making a research to see if the pill works well. In this study there are 30 people being tested in which 15 random candidates receive the pill, and the other 15 receive a simple candy. Neither the researchers nor the candidates know who is taking the pill. What type of study is this?
Double Blinded Study
Peter is the host for a bingo game and is ready to start taking out balls with different numbers on them (75 total numbers), what is the probability of taking out the ball with number 23 and then the ball with number 24 if each time he takes a ball he doesn’t return it? Round to nearest millionth.
P(Ball Number 23 and Ball Number 24) = 1/75 * 1/74 = .000180
Paula wants a new pair of footwear, she wants sneakers or a sandals, either way she decides it has to be Nike or Adidas, either way she decides it has to be cheaper than $100 or more expensive than $100. How many different footwear can she finish with?
2 * 2 * 2 = 8
From 5 physicians and 8 doctors, a committee of 4 people will be made. What is the probability that the committee is formed by 3 doctors and 1 physician? Round to nearest thousandth.
nCr (8,3)= 56
nCr(5,1)= 5
56 * 5 = 280
Total nCr (13,4) = 715
P(choosing a committee of 4 with 3 doctors and a physician) = 280/715 = 56/143 or .391