In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. Given that a ran
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A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find
To find , we need to use z score formula:
When x = 4.2, we have:
When x = 5.1, we have:
Therefore, we have to find
Using the standard normal table, we have:
=
or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%
<em>Formula:</em>
<em>Plug in the values:</em>
<em>Simplify LHS:</em>
<em>Multiply by 1936 on both sides:</em>
<em>Simplify RHS:</em>
<em>Square root both sides:</em>
Answer: The radius is 4 units. (Answer B)
<em>Plug in the values:</em>
<em>Simplify LHS:</em>
<em>Multiply by 1936 on both sides:</em>
<em>Simplify RHS:</em>
<em>Square root both sides:</em>
Answer: The radius is 4 units. (Answer B)