1: ----> 2:00
2: ----> 4:45
3: -----> 2:15
4: -----> 4:41
5: -----> 16:15
Answer:x4+2x3+7x2+6x+12
Step-by-step explanation:
Answer:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And we can use the complement rule:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Mary Purchase shares = $80,000
Mary Sells shares = $55,000
Loss she can claim for = $80,000 - $55,000
= $ 25,000
Answer:
Option a - $9,314.45
Step-by-step explanation:
Cost of the house = $268,500
Time of repayment = 30 years
Repayment is done monthly, so number of repayments = 30 X 12 = 360
Monthly Payment = $1595.85
Rate of interest per payment period =
So, Present value of monthly payments = 1595.85 X 
= $259,185.55
So, Vanessa's down payment = $268,500 - $259,185.55 = $9,314.45
Hope it helps.
Thank you !!