Answer:
B
it goes down by $16,000 in that time frame
Using the <em>normal probability distribution and the central limit theorem</em>, it is found that the probability is of 0.9974 = 99.74%, which means that the pilot should take action.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the 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 size n has standard deviation
.
In this problem, for the population, the mean and the standard deviation are given by, respectively:
.
For a sample of 37 passengers, we have that:

The probability that the aircraft is overloaded is <u>one subtracted by the p-value of Z when X = 167.6</u>, hence:

By the Central Limit Theorem:



has a p-value of 0.0026.
1 - 0.0026 = 0.9974.
There is a 0.9974 = 99.74% probability that the aircraft is overloaded. Since this is a very high probability, the pilot should take action.
To lern more about the <em>normal probability distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
10. When events are independent, the joint probability is the product of the individual probabilities.
... p(senior & female) = p(senior) × p(female) = 0.30 × 0.54 = 0.162 = 16.2%
11. When events are mutually exclusive, the probability of one or another is the sum of the individual probabilities.
... p(soph or frosh) = p(soph) + p(frosh) = 0.28 + 0.26 = 0.54 = 54%
6*4=24. Just keep on grinding them out to learn them! Good Job!
That just means that you are dividing by -3 so when you do 45 divided by -3 what do you get?