Answer:
He owned Cat for 5 years.
Step-by-step explanation:
Given: Owned dog for 9 years.
Dog owned year is one year less than twice as long as he owned a cat.
Lets assume the years that cat has been owned be "x".
Now, finding the number years that Cat hes been owned.
As given, Dog owned year is one year less than twice as long as he owned a cat.
∴ using equation to find the Cat´s owned years.
⇒
adding 1 on both side.
⇒
dividing both side by 2
⇒
∴x=
Hence, Cat has been owned for 5 years.
Answer:
a) 0.280
b) 0.300
c) No, preference is not independent of gender. Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not completely, statistically independent. It's very close though.
Step-by-step explanation:
Let the probability that the somebody surveyed is a male be P(M)
Let the probability that somebody surveyed is female be P(F)
Let the probability that somebody surveyed picked the name-brand milk be P(N)
Let the probability that somebody surveyed picked the store-brand milk be P(St)
Let the probability that somebody surveyed picked the something else be P(So)
a) Given that an American is a male, what is the probability that he prefers name-brand milk = P(N|M) = 319/1138 = 0.280
b) Given that an American is a female, what is the probability that she prefers name-brand milk = P(N|F) = 341/1138 = 0.300
c) To investigate if the preference and gender are independent or not, we need the P(N)
P(N) = probability that an average an Average American (male or female) will prefer a nam-brand milk = 660/2276 = 0.290.
Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not statistically independent. It's very close though.
