A 6-car monorail train can carry 78 people.If the train makes 99 trips during the day,what is the greatest number of people the
2 answers:
Answer:
D.7,722
Step-by-step explanation:
We have been given that a 6-car monorail train can carry 78 people. The train makes 99 trips during the day. We are asked to find the greatest number of people the train can carry in one day.
The greatest number of people the train can carry in one day will be equal to number of trips times the total number of people that train can carry in each trip.
Therefore, the train can carry at-most 7722 people in one day.
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Answer:
.0228
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
Find the probability that the average score of the 36 golfers exceeded 72.
This is 1 subtracted by the pvalue of Z when X = 72. So
By the Central Limit Theorem
has a pvalue of 0.9772
1 - 0.9772 = 0.0228