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arlettg
13.04.2020 •
Mathematics
ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 points
A. What is the probability a randomly selected score is greater than 30.4?
B. what is the probability a randomly selected score is less than 32.8?
C. What is the probability a randomly selected score is Between 25.6 and 32.8?
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Ответ:
a. 0.1587
b. 0.8849
c. 0.1814
Step-by-step explanation:
a. Given that![\mu=28, \ \ \sigma=2.4](/tpl/images/0596/8717/63f5d.png)
-The probability a randomly selected score is greater than 30.4 is calculated as:
Hence, the probability of a score greater than 30.4 is 0.1587
b. Given that![\mu=28, \ \ \ \sigma=2.4](/tpl/images/0596/8717/85031.png)
The probability a randomly selected score is less than 32.8 is calculated as:
Hence, the probability that a randomly selected score is less than 32.8 is 0.8849
c. The probability that a score is between 25.6 and 32.8 is calculated as follows:
Hence, the probability is 0.1814
Ответ:
To the nearest ten = 210.