Unit 2 Quiz
The Law of Large Numbers states: - ANS-As an experiment is repeated over and over, the
relative frequency of an event tends towards the actual probability
Suppose the probability that a household owns a pet is 0.45. (We can assume one house
owning a pet is independent of the others.)
What is the probability that there will be no pets in a randomly selected house? - ANS-0.55
Suppose the probability that a household owns a pet is 0.45. (We can assume one house
owning a pet is independent of the others.)
Suppose we looked at two houses on a street, the Smiths and the Millers.
What is the probability that the Smiths and the Millers both have a pet? - ANS-0.2025
Suppose the probability that a household owns a pet is 0.45. (We can assume one house
owning a pet is independent of the others.)
Suppose we looked at two houses on a street, the Smiths and the Millers.
What is the probability that the Smiths or the Millers have a pet? - ANS-0.6975
The probability distribution of X, the number of under-inflated tires on a randomly selected
automobile checked at a particular inspection station is given below.
X
0, 1, 2, 3, 4
Prob
0.54, 0.16, 0.06, 0.04, 0.20
A) What is the probability that more than 2 tires are under-inflated? - ANS-0.24
The probability distribution of X, the number of under-inflated tires on a randomly selected
automobile checked at a particular inspection station is given below.
X
0, 1, 2, 3, 4
Prob
0.54, 0.16, 0.06, 0.04, 0.20
B) What is the expected number of under-inflated tires on a random inspection? - ANS-1.2
The Law of Large Numbers states: - ANS-As an experiment is repeated over and over, the
relative frequency of an event tends towards the actual probability
Suppose the probability that a household owns a pet is 0.45. (We can assume one house
owning a pet is independent of the others.)
What is the probability that there will be no pets in a randomly selected house? - ANS-0.55
Suppose the probability that a household owns a pet is 0.45. (We can assume one house
owning a pet is independent of the others.)
Suppose we looked at two houses on a street, the Smiths and the Millers.
What is the probability that the Smiths and the Millers both have a pet? - ANS-0.2025
Suppose the probability that a household owns a pet is 0.45. (We can assume one house
owning a pet is independent of the others.)
Suppose we looked at two houses on a street, the Smiths and the Millers.
What is the probability that the Smiths or the Millers have a pet? - ANS-0.6975
The probability distribution of X, the number of under-inflated tires on a randomly selected
automobile checked at a particular inspection station is given below.
X
0, 1, 2, 3, 4
Prob
0.54, 0.16, 0.06, 0.04, 0.20
A) What is the probability that more than 2 tires are under-inflated? - ANS-0.24
The probability distribution of X, the number of under-inflated tires on a randomly selected
automobile checked at a particular inspection station is given below.
X
0, 1, 2, 3, 4
Prob
0.54, 0.16, 0.06, 0.04, 0.20
B) What is the expected number of under-inflated tires on a random inspection? - ANS-1.2