At a school health fair, individual pieces of fruit are placed in paper bags and distributed to students randomly. there are 20
1 answer:
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Answer:
a) 2.84% probability that he is late for his first lecture.
b) 5.112 days
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:
a. Find the probability that he is late for his first lecture.
This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So
has a pvalue of 0.9716
1 - 0.9716 = 0.0284
2.84% probability that he is late for his first lecture.
b. Find the number of days per year he is likely to be late for his first lecture.
Each day, 2.84% probability that he is late for his first lecture.
Out of 180
0.0284*180 = 5.112 days
Answer:
50 miles.
Step-by-step explanation:
Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week.
With a full tank of gas he can drive 100 miles.
Question asked:
How many miles can he drive on the weekend, before he he fills up again?
Solution:
With full tank he can drive a total distance = 100 miles
Each day of the work week, he drives = 10 miles
Total miles, he drive in whole work week (Monday - Friday) =
<em>Now, to find that many miles he can drive on the weekend (Saturday and Sunday), we will subtract total miles, he drive in whole work week from the total distance, he can drive with full tank of gas:-</em>
100 - 50 = 50 miles.
Therefore, he can drive 50 miles on the weekend, before he he fills up again.