Answer:
a. Check the attached image
b. The Pr(Y > 2) = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. The exact value is 1 because it is certain from the given data that any probability will fall within that range.
Step-by-step explanation:
a. An image showing the step by step solution is attached.
b. P(Y > 2) = P(3) + P(4)
= 2/10 + 3/10 = 5/10 = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. Check the attached image for the steps.
Answer: The state with the second lowest population has the lowest population density.
Step-by-step explanation:
Since, Density = Population / Area
The population of state A = 1,055,173
Its area = 2677 square km
Thus, the density of state A = = 394.162495,
The population of state B = 1,333,089
Its area = 36,418 square km
Thus, the density of state B = = 36.6052227,
The population of state C = 3,596,677
Its area = 5543 square km
Thus, the density of state C = = 648.868302,
The population of state D =6,745,408
Its area = 10555 square km
Thus, the density of state D = = 639.072288,
Since, by the above explanation,
The state in increasing order of the populations,
State A < State B < State C < State D,
Also, the state in increasing order of density,
State B < State A < State D < State C
⇒ Second option is correct.