answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka94
1 month ago
6

The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of

64.7. ​(All units are 1000 ​cells/μ​L.) 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 118.5 and 377.3​? b. What is the approximate percentage of women with platelet counts between 53.8 and 442.0​?

Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
5 0

Answer:

A) The estimated proportion of women whose platelet counts fall within 2 standard deviations of the mean, or between 118.5 and 377.3, is 95%.

B) The estimated percentage of women with platelet counts ranging from 53.8 to 442.0 is 99.7%.

Step-by-step explanation:

Provided data:

mean;μ = 247.9

standard deviation;σ = 64.7

A) We seek to find the estimated percentage of women with platelet counts within 2 standard deviations from the mean, which translates to values between 118.5 and 377.3.

Based on the attached image, the empirical curve indicates that the likelihood within 1 standard deviation of the mean is (34% + 34%) = 68%.

In contrast, the likelihood within 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Therefore, the estimated percentage of women having platelet counts within 2 standard deviations of the mean, or ranging from 118.5 to 377.3, equals 95%

B) Next, we want to determine the estimated percentage of women with platelet counts between 53.8 and 442.0.

The values of 53.8 and 442.0 correspond to 3 standard deviations from the mean.

Let’s verify that.

Since mean;μ = 247.9

standard deviation;σ = 64.7;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

From the attached empirical curve, it can be seen that at 3 standard deviations from the mean, the probability percentage is;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

You might be interested in
Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The aver
Inessa [12570]
Hello! There are three sentences in this problem that we need to complete with the appropriate values. Let's begin with the first sentence. SENTENCE #1 The initial number of visits to the website was ____. Before inserting numbers, I want to ensure you understand the word 'initial.' It refers to the very first value in something. Therefore, this sentence is asking for the first count of visits on the football team's website. It doesn't specify if it's the initial visits within the first day or hour, so we can assume it's the first week's count. To find the number of visits in week 0, we'll review the chart, which indicates 48,000 visits for that week. Thus, the completed sentence will say, The initial number of visits to the website was 48,000. SENTENCE #2 The percent decrease from week __ to week __ was ____%. To determine the percent decrease, we first calculate the difference between the two values, then divide that difference by the original number and multiply by 100. Hence, the new statement concludes with, The percent decrease from week 4 to week 5 was 50%. SENTENCE #3 The minimum number of visits on the website during the first 5 weeks since Jim began his assessment was ____. This is straightforward; we only need to check week 5 to find the minimum visit count. Therefore, the completed sentence will state, The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. Hope this helps! - Lindsey Frazier ♥
5 0
2 months ago
Read 2 more answers
Elio makes candles that are 14\text{ cm}14 cm14, start text, space, c, m, end text tall. Each candle burns 888 hours before goin
Svet_ta [12734]

Response:

12 Hours

Step-by-step rationale:

h=21/14*8

h=12 hours

5 0
2 months ago
Read 2 more answers
Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.
PIT_PIT [12445]
a) The specified probability distribution is b) 0.5, representing a 50% chance that X assumes a value between 21 and 25. c) 0.25 denotes a 25% likelihood that X takes on a value of at least 26. A uniform probability distribution encompasses two limits, a and b. The probability of obtaining a value lower than x is calculated accordingly. Also, the likelihood of finding a value between c and d is defined in correlation with the observed uniform distribution ranging from 20 to 28.
4 0
2 months ago
Jeremy had 3/4 of a submarine sandwich and gave
PIT_PIT [12445]
The actual question asks, "<span>Jeremy possessed 3/4 of a submarine sandwich and shared 1/3 of that with his friend. How much of the sandwich did his friend obtain?"

Solution:
Calculating 1/3 of 3/4 of a submarine sandwich results in = 1/3 x 3/4 = 3/12 = 1/4
Therefore, Jeremy gave his friend 1/4 of the submarine sandwich. </span>
5 0
2 months ago
The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar
Leona [12618]

Let the length of one square be x. Area will be x*x = x².

Thus, the second square's side length is 2x, leading to an area of 2x*2x = 4x².

The total area combined is x² + 4x² = 5x².

This total area equals 45 cm².

Hence, 5x² = 45. Dividing each side by 5 results in
x² = 45/5, so
x² = 9. By taking the square root of both sides, we find
x = √9, which gives
x = 3.

Consequently, the length of the larger square is 2x, which equals 2*3 = 6 cm.
The length of the larger square is 6cm.

7 0
2 months ago
Read 2 more answers
Other questions:
  • During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
    11·1 answer
  • What is the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008 . What might have been the
    10·1 answer
  • Using the extended Euclidean algorithm, find the multiplicative inverse of a. 1234 mod 4321 b. 24140 mod 40902
    6·1 answer
  • Consider the two triangles. Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y ar
    9·2 answers
  • The graph of f(x), shown below has the same shape as the graph has the same shape as the graph of g(x)=x^4-X^2 which contains th
    13·2 answers
  • If December had 33 days, what would the 33rd calendar marker look like?
    15·1 answer
  • Concur Technologies Inc is a large expense-management company located in Redmond Washington. The wall street Journal asked Concu
    8·1 answer
  • The Baum and the Freeman families are comparing their electric bills for the past month. The Baum family is on a standard use pl
    7·2 answers
  • 11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will the
    6·1 answer
  • Sally is planning a trip for 225 students
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!