Frances has no money in her checking account. she writes 3 checks for $35 each. the bank imposes $15 penalty because she has ove

Answer:

0.24

Explanatory steps:

These events can occur simultaneously, indicating they are not mutually exclusive.

For events A and B where mutual exclusivity does not apply,

P(A and B) = P(A) * P(B|A)

Let A represent the event of being "over 21 years old" and B represent the event of "consuming alcohol."

The likelihood of a student being over 21 years is 0.3, reflecting that 30% of the students are in that age range.

The probability that a student consumes alcohol given they are over 21 stands at 0.8.

This results in

P(A and B) = 0.3(0.8) = 0.24

An inverse function will also qualify as a function if the original is a One-to-One function. This means that each y value corresponds to exactly one x value, thus ensuring that the inverse remains a function.

The function shown in option C meets this criteria, as all x values and y values are distinct. Therefore, the inverse of the function in option C will also be a functional relation.

In contrast, other options have repeated y values, indicating they do not exhibit the one-to-one characteristic.

Hence, the correct answer is option C

Answer:

Step-by-step reasoning:

(a)

To have an accepted bid, it needs to exceed $10,000. Let bid x be a continuous random variable uniformly distributed between

$10,000 and $15,000

The range for accepted bidding is , with b = $15000 and a = $10000.

The provided bidding range is [$10,000,$12,000]. The probability is determined as follows,

(b)  The accepted bidding range is [$10,000,$15,000], where b = $15,000 and a =$10,000. The given bidding range is [$10,000,$14,000].

(c)

The optimal amount to bid for maximizing the probability of acquiring the property is calculated as,  

The accepted bidding range is [$10,000,$15,000],

where b = $15,000 and a = $10,000. The provided bidding range is [$10,000,$15,000].

(d)  If you know someone willing to pay you $16,000 for the property, would you still consider bidding less than the amount mentioned in part (c)? Why or why not?

$38.00 imes 0.25 = $9.50
$38.00 - $9.50 = $28.75
$28.75 imes 0.06 = $1.725
$28.75 + $1.73 = $30.48

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