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3 years ago

ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 points

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

a. 0.1587

b. 0.8849

c. 0.1814

Step-by-step explanation:

a. Given that $\mu=28, \ \ \sigma=2.4$

-The probability a randomly selected score is greater than 30.4 is calculated as:

$P(X>30.4)=1-P(X30.4)=1-P(z$

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that $\mu=28, \ \ \ \sigma=2.4$

The probability a randomly selected score is less than 32.8 is calculated as:

$P(X$

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:

$P(25.6$

Hence, the probability is 0.1814

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