The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.
In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:
Z = X-ц / σ
· It measures how many standard deviations the measure is from the mean.
· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ
σ = σ /
σ is standard deviation
n is the sample size.
Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.
⇒ ц = 176.1 and σ = 35.4
For a sample of 43 passengers, we have
n = 43
σ = 
σ = 5.398
Z = X-ц / σ
Z = 
Z = -2.05 has p- value of 0.9798
The probability that the aircraft is loaded is
1 - p-value of Z
1 - 0.0202 = 0.9798
The probability that the aircraft is overloaded is 97.98%
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Answer:
T(t) = 5(3)(t)
Step-by-step explanation:
There are 5 cells initially.
And it triple every hour.
So
T0 =5
T(t) = T0(3t)
Each cell has it's multipling factor because it's Will be multipling by 3 every hour
T(t) = 5(3)(t)
If Suzanne can read 1 page in 3 minutes, that means that in ONE hour, she can read 20 pages.
1 page per 3 minute
60minutes : 3 = 20 pages
Now, multiply 20 pages by 5 hours.
20 x 5 = 100.
I hope it helps! (She's pretty slow at reading)