The state of New Jersey has a population of about 8.9 million and its area is about 8700 mi². What is the population density of
2 answers:
The population density is obtained by dividing the population by the area.
Here the population is given as 8.9 millions
1 miilion = 10,00,000
so 8.9 millions = 8.9 ×10,00,000= 8,900,000
The area of the State of New Jersey = 8700 miles².
Hence population density =
Rounding it off we get
Population density = 1023 people per square mile.
Option A) is the right answer
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Answer:
The probability that the person answered "yes" or was male is 0.537
Step-by-step explanation:
The union of events is equivalent to the disjunction "or". Given two events A and B, the union of events, denoted by A∪B, is defined as the event formed by all the elements that are in A or B. That is, the event A∪B is verified when one of the two or both occurs.
Considering two events A and B with probabilities P (A) and P (B), respectively, the probability of their union is given by:
P(A∪B)= P(A) + P(B) - P(A∩B)
In this case:
- A: the person answered "yes"
- B: the person was male
So, being the probability calculated as the number of favorable cases divided by the total number of possible cases, then in this case it is known that the number of people who answered yes is 64, while the number of people who responded is not 70. Therefore , the total number of people who answered is equal to 64 + 70 = 134. So, the probability of answering yes is:
P(A)==0.478
On the other hand, you know that out of 64 people who answered yes, the number of being male is 6. And out of 70 people who answered no, the number of being male is 8. So the probability that men answer yes is calculated as:
P (A∩B) == 0.045
Finally, with the total number of men equal to 6 + 8 = 14, the probability of being male is:
P(B)= = 0.104
Then:
P(A∪B)= P(A) + P(B) - P(A∩B)
P(A∪B)= 0.478 + 0.104 - 0.045
Solving:
P(A∪B)= 0.537
<u><em>The probability that the person answered "yes" or was male is 0.537</em></u>