Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
Answer:
A(i) 07:38
(ii) 1:57 minutes
Step-by-step explanation:
he can arrive at 07:28 and be five minutes early and that's the latest and for the second question I did
2 minutes to get to half past
30 minutes and its 8;00
1 hour and its 9:00 (1h and 32mins)
25 minutes on that and its 9:25 and 1hour and 57 mins of travelling
Answer:
28%
Step-by-step explanation:
1. $50,000. divided by 1000 shares = $50. per share
2. The market price is 49 1/4, or $49.25
3 . It is selling par.(Par =$50,selling$49.25)
4. 20 shares * $5. = $100.
5. You sell one share for 49 1/4 and your cost is 41 1/8 +1/8 =41 1/4
Your profit is $8. * 72 =$576. - $32.52 = $543.48
Total investment is 72 * 41 1/8 = $2961.
% of profit: 543.48/2961= x/100, so x = 18.354609%
