Answer:

Step-by-step explanation:

Answer: Events A and B are independent.
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Explanation:
Note how,
P(A)*P(B) = 0.5*0.2 = 0.1
which matches exactly with P(A and B) = 0.1
Therefore,
P(A and B) = P(A)*P(B)
is a true statement. This further leads to events A and B being independent.
Let the number of months = x , and total budget = y
<span>An inequality to represent the situation:

For budget = $155
∴ 155 = 20 x +15
solve for x
20 x = 155 - 15 = 140
∴ x = 140/20 = 7
∴ T</span>he greatest number of months = 7 <span>months.</span>