Answer:
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Step-by-step explanation:
Answer:
(a) Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.
(b) Approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.
Step-by-step explanation:
We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1
Let X = <u><em>the blood platelet counts of a group of women</em></u>
So, X ~ Normal(
)
Now, the empirical rule states that;
- 68% of the data values lie within the 1 standard deviation of the mean.
- 95% of the data values lie within the 2 standard deviations of the mean.
- 99.7% of the data values lie within the 3 standard deviations of the mean.
(a) The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 is 68% according to the empirical rule.
(b) The approximate percentage of women with platelet counts between 71.3 and 443.9 is given by;
z-score of 443.9 =
=
= 3
z-score of 71.3 =
=
= -3
So, approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.
Answer:
Wilma has $12.
Step-by-step explanation:
Since we don't know how many hours she worked, we know that Wilma earned 9x dollars at her job. Then she spends $15, so we can just subtract 15 from 9x.

We can just replace the x with 3 to get:

Hence, Wilma has $12.
Answer:
Step-by-step explanation:
400+10+330+55,000
Answer:
0.13591
Step-by-step explanation:
What we do here is find a score of both values;
Mathematically;
z-score = (x - mean)/SD
for 825, we have (825-750)/75 = 1
For 900, we have (900-750)/75 = 150/75 = 2
So the probability we want to find is;
P(1<x<2) = P(x<2) - P(x<1)
We use the standard table for this and we arrive at;
P(1<x<2) = 0.13591