- 01 Apr, 2021
- 0 Comments
- 1 Min Read
10 question quiz, contemporary math
Formulas used in chapter 12 and 13 are below:
Permutation formula for distinct objects P (n ,k) = n!___
(n – k) !
Combination formula C (n ,k) = P (n ,k) n!___
K! K! (n – k) !
Probability of mutual exclusive events P(A or B) = P(A) + P(B)
Addition rule for Probabilities if A and B are two events in the same sample space. P(A or B) = P(A) + P(B) – P(A or B)
Conditional Probability P(B A) = P(A and B)
P(A)
Product rule for Independent events P(A and B) = P(A) X P(B)
Product rule for Probabilities if A and B are two events in the same sample space P(A and B) = P(A) X P(B A)
Outcome of two die rolled:
Sample mean: xbar = x/n
Sample variance:
Sample standard deviation:
Cards: 52 cards in a standard deck of cards. 13 cards of each suit: 13 clubs, 13 spade, 13 diamonds and 13 hearts. There are 26 red cards and 26 black cards. There are four of each type of card – i.e.: four 5s (a 5 of clubs, 5 of spades, 5 of diamonds and 5 of hearts).
Test Begins:
1. You have 8 songs on your phone. You have time to listen to 5 songs in shuffle mode. How many different permutations can the songs be listened to?
2. An emergency room has 12 nurses on staff. Each night a team of 5 nurses are on duty. How many different combinations of nurses can be chosen?
3. The following Punnett square for flower colors shows two parents of genotype Rr, where R corresponds to a dominant red flower allele, and r corresponds to recessive white flower allele. What is the probability the offspring of these parents will have white flowers?
Parents
4. Two fair dice are rolled. Find the probability of rolling a 2 or a 10.
5. What is the probability that a person selected from random from the table below will contact the flue given they received a flu shot:
Flu No Flu Total
Vaccine 21 198 219
No vaccine 76 195 271
Total 97 393 490