![SamanthaBees](/avatars/48521.jpg)
SamanthaBees
08.10.2020 •
Mathematics
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of and a standard deviation of . (All units are 1000 cells/L.) Using the empirical rule, find each approximate percentage below.
a. What is the approximate percentage of women with platelet counts within standard of the mean, or between and ?
b. What is the approximate percentage of women with platelet counts between and ?
Solved
Show answers
More tips
- S Science and Technology Discovering the Anatomy of an LCD TV Screen...
- F Family and Home How to Raise a Genius? Discover the Secrets Here...
- F Food and Cooking How to Properly Cook Buckwheat?...
- H Health and Medicine How to Tan in a Tanning Bed? Tips and Recommendations...
- S Style and Beauty How to Sew a Balloon Skirt: Detailed Tutorial and Tips on Choosing the Right Fabric...
- P Philosophy Personal attitude towards Confession: how to prepare and undergo the procedure correctly?...
- F Food and Cooking How to Make Cottage Cheese at Home: Simple and Quick Recipe with Step By Step Instructions...
- H Health and Medicine Which Water Are You Drinking? Is it Worth Buying Bottled Water?...
- H Health and Medicine What Makes a Man a Man?...
- H Health and Medicine What to Take with You to the Maternity Hospital?...
Answers on questions: Mathematics
- M Mathematics What is -296 = -8 (8a +5)? With work provided...
- M Mathematics Plz help me on these three will give brainliest plz be correct thank you...
- M Mathematics A bag contains 5 red marbles, 3 green and 2 black. If two marbles are randomly selected without replacement, determine the probability of choosing a green and a black marble....
- M Mathematics 7x + 10 = 59 i dont really understand it...
- M Mathematics Can someone please help me...
- M Mathematics A right triangle is one that contains a degree angle...
- M Mathematics [(1 1/4 - 3/4) × (-2/3) exponent 3] ÷4plz help lol...
- M Mathematics What is a like term for 200?...
- M Mathematics A football is kicked. Its height in feet can be tracked using the equation h = -5t? + 18t + 1, where t is time in seconds. A. When will the ball be at ground level? B. What...
- M Mathematics Find f(g(-1)). f(g(-1)) = help I’m just trying to pass...
Ответ:
(a) Approximately 95% of women with platelet counts within 2 standard deviations of the mean.
(b) Approximately 99.7% of women have platelet counts between 65.2 and 431.8.
Step-by-step explanation:
The complete question is: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 61.1. (All units are 1000 cells/mul.) using the empirical rule, find each approximate percentage below.
a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 126.3 and 370.7?
b. What is the approximate percentage of women with platelet counts between 65.2 and 431.8?
We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 61.1.
Let X = the blood platelet counts of a group of women
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean = 248.5
Now, the empirical rule states that;
68% of the data values lie within 1 standard deviation away from the mean. 95% of the data values lie within 2 standard deviations away from the mean. 99.7% of the data values lie within 3 standard deviations away from the mean.(a) The approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 126.3 and 370.7 is given by;
As we know that;
P(
< X <
) = 0.95
P(248.5 - 2(61.1) < X < 248.5 + 2(61.1)) = 0.95
P(126.3 < X < 370.7) = 0.95
Hence, approximately 95% of women with platelet counts within 2 standard deviations of the mean.
(b) The approximate percentage of women with platelet counts between 65.2 and 431.8 is given by;
Firstly, we will calculate the z-scores for both the counts;
z-score for 65.2 =![\frac{X-\mu}{\sigma}](/tpl/images/0794/3811/4db78.png)
=
= -3
z-score for 431.8 =![\frac{X-\mu}{\sigma}](/tpl/images/0794/3811/4db78.png)
=
= 3
This means that approximately 99.7% of women have platelet counts between 65.2 and 431.8.
Ответ:
a
Step-by-step explanation:
3/4a >-16
-3/4 /3/4
a >-21 1/3