To solve this problem, we make use of the binomial probability equation.
P = [n! / (n – r)! r!] p^r * q^(n – r)
where,
n is the total number of sample = 100,000
r is the number of people with rare blood disorder = 7 or more
p is success of having a disorder = 0.00004
q is 1- p = 0.99996
But since it is easier to solve for the sum of probabilities with 0 to 6 disorder then deduct it from 1.
So,
=> at r = 0
P (r = 0) = [100,000! / (100,000 – 0)! 0!] (0.00004)^0 * (0.99996)^(100,000 – 0)
P (r = 0) = 0.01831
=> at r = 1
P (r = 1) = [100,000! / (100,000 – 1)! 1!] (0.00004)^1 * (0.99996)^(100,000 – 1)
P (r = 1) = 0.07326
=> at r = 2
P (r = 2) = [100,000! / (100,000 – 2)! 2!] (0.00004)^2 * (0.99996)^(100,000 – 2)
P (r = 2) = 0.14652
=> at r = 3
P (r = 3) = [100,000! / (100,000 – 3)! 3!] (0.00004)^3 * (0.99996)^(100,000 – 3)
P (r = 3) = 0.19537
=> at r = 4
P (r = 4) = [100,000! / (100,000 – 4)! 4!] (0.00004)^4 * (0.99996)^(100,000 – 4)
P (r = 4) = 0.19537
=> at r = 5
P (r = 5) = [100,000! / (100,000 – 5)! 5!] (0.00004)^5 * (0.99996)^(100,000 – 5)
P (r = 5) = 0.15630
=> at r = 6
P (r = 6) = [100,000! / (100,000 – 6)! 6!] (0.00004)^6 * (0.99996)^(100,000 – 6)
P (r = 6) = 0.10420
So the total P is:
P (r = 0 to 6) = 0.01831 + 0.07326 + 0.14652 + 0.19537 + 0.19537 + 0.15630 + 0.10420
P (r = 0 to 6) = 0.88933
=> So the probability that 7 or more people will have the disease is:
P (r ≥ 7) = 1 - 0.88933
P (r ≥ 7) = 0.11067 = 11.067%
There is only 0.11067 or 11.067% probability that 7 or more will have the disorder.
To solve this problem, we can use the binomial probability formula. The probability of exactly x successes in n trials is given by the formula. In this case, the probability of success (p) is 0.00004, and the total number of trials (n) is 100,000. To find the probability that seven or more people will have the rare blood disorder, we need to calculate the sum of the probabilities for x = 7, 8, 9, ..., 100,000.
Explanation:To solve this problem, we can use the binomial probability formula. The probability of exactly x successes in n trials is given by the formula:
P(x) = C(n, x) * p^x * (1 - p)^(n - x)
where:
P(x) is the probability of x successes
C(n, x) is the number of combinations of n trials and x successes
p is the probability of success in a single trial
n is the total number of trials
In this case, the probability of success (p) is 0.00004, and the total number of trials (n) is 100,000.
To find the probability that seven or more people will have the rare blood disorder, we need to calculate the sum of the probabilities for x = 7, 8, 9, ..., 100,000. This can be done using the binomial probability formula or statistical tables.
rounded to hundred how can I round to hundred
What is the product?
(4x)(-3x8) (-7x3)
Answer: [tex]84x^{12}[/tex]
Step-by-step explanation:
The given expression : [tex](4x)(-3x^8) (-7x^3)[/tex]
Open brackets, we get
[tex]4x\cdot-3x^8\cdot-7x^3\\\\=4\cdot-3\cdot-7\cdot x\cdot x^8\cdot x^3[/tex]
Using law of exponents:-
[tex]a^m\cdot a^n=a^{m+n][/tex]
[tex]84\cdot x^{1+8+3}\\\\=84x^{12}[/tex]
Hence, the product [tex](4x)(-3x^8) (-7x^3)=84x^{12}[/tex]
Answer:
C. 84X^12
Step-by-step explanation:
edge 2021
Find the extreme values of f subject to both constraints f(x,y) = 2x^2+3y^2-4x-5, x^2 + y^2 <=16
what is 58/7 as a mixed number
Answer:
[tex]8\frac{2}{7}[/tex] and or 8 2/7
have an amazing day!
Step-by-step explanation:
What is the slope given the equation, y = 2x
a) 1
b) 12
c) 2
d) x'
Suppose x and y vary together such that x is 7 times as large as y. write a formula that defines x in terms of y.
How do I find Primefactor of 150
The observations you made in the unit circle can help you determine the x‑ and y‑coordinates of special points on the circle without memorizing the circle. Analyze some of the patterns by completing the parts below.
a. Look at all the ordered pairs whose angles are of the form k pi/4, where k is an integer. What do you notice?
b.Now look at the ordered pairs whose angles are of the form k pi/6 or k pi/3. What do you notice about their coordinates?
c.How can you determine if the coordinates of a point are positive or negative?
Robin's family breeds Great Danes. In the last litter, one of the puppies grew at an unusually consistent rate. At birth, he weighed two pounds. At eight months, he weighed 110 pounds.
Answer:
A. An additional month of growth is associated with an additional 13.5 pounds of weight.
Step-by-step explanation:
A nationwide survey of college seniors by the university of michigan revealed that almost 70% disapprove of daily pot smoking, according to a report in parade. if 12 seniors are selected at random and asked their opinion, find the probability that the number who disapprove of smoking pot daily is
a. anywhere from 7 to 9;
b. at most 5;
c. not less than 8.
Monday’s high temperature was 5 degrees warmer than Sunday high temperature.tuesdays high temperature was eight degrees colder than Monday high temperature. How does Sunday’s high temperature compare to tuesdays
Answer: It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.
Step-by-step explanation:
Let the temperature on Sunday be 'x'.
So, Temperature of Monday would be
[tex]x+5[/tex]
Temperature of Tuesday would be
[tex]x+5-8\\=x-3[/tex]
So, Comparing the Sunday's high temperature to Tuesday's temperature.
[tex]x-3[/tex]
It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.
a store buys a baseball cap for $5 and sells it for $20. what is the profit
If you work 37.5 hours per week at $10.65 per hour, how much is your gross pay for a two-week period? (Round off your answer to the nearest cent.)
The skateboard that Jose wants costs $90 has a coupon for 1/5 off retail price. If Jose saves $18 a week, how long will it take to save enough to buy the skateboard?
Answer:
4 weeks
Step-by-step explanation:
write each percent as a fraction 13_1/3
another way to write (3x1000)+(3x10)+(3x1/100)+(3x1/1000)
Expression after the simplification is 3030.033.
What is an expression?Expression in mathematics is the combination of variables with the use of operations and predetermined rules. It could appear as an equation, a set of numbers, etc.
Given, expression
(3x1000)+(3x10)+(3x1/100)+(3x1/1000)
Simplifying,
(3x1000)+(3x10)+(3x1/100)+(3x1/1000)
= 3000 + 30 + 3/100 + 3/1000
= 3030033 / 1000
or, = 3030.033
Hence, the value of the expression is 3030.033.
To learn more about the expression;
brainly.com/question/24242989
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9,032,504.75 in word form
A square sheet of art paper has an area of 625 square inches. What is the minimum side length of an easel that supports the whole sheet of paper?
area of a square = side^2
to find the length of a side using area find the square root of the area
sqrt(625) = 25
so the easel has to be at least 25 inches
It takes 45 minutes for 4 people to paint 5 walls.
How many minutes does it take 6 people to paint 4 walls
4 people x 45 minutes = 180 minutes total to paint 5 walls
180/5 = 36 minutes of man work per wall
36 * 4 walls = 144 total minutes
144/6 people = 24 minutes total
The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900 1650 1800 980 1950 2560 1850 1260 2000 6080 (a) use the exponential model and the population figures for 1750 and 1800 to predict the world population in 1900 and 1950. compare with the actual figures
The exponential model provides a reasonable approximation for the world population growth between 1750 and 1800. However, it becomes less accurate for longer time periods due to various factors like technological advancements, medical breakthroughs, and changing social and economic conditions.
1. Define the model:
The general form of an exponential model is:
P(t) = a * b^(t)
where:
P(t) is the population at time t
a is the initial population (at t = 0)
b is the growth factor (greater than 1 for positive growth)
t is the time elapsed (in years, since the initial time)
2. Find the parameters:
We have data for 1750 (t = 0) and 1800 (t = 50):
P(0) = 790 million (initial population)
P(50) = 980 million (population after 50 years)
Using these values, we can solve for a and b:
b = (P(50) / P(0))^(1/t) = 980 / 790)^(1/50) ≈ 1.007
a = P(0) / b^0 = 790 / 1 ≈ 790
3. Predict the population in 1900 and 1950:
Now we can plug the values of a and b into the model to predict the population:
P(150) = 790 * 1.007^(150) ≈ 1912 million (predicted population in 1900)
P(200) = 790 * 1.007^(200) ≈ 3145 million (predicted population in 1950)
4. Comparison with actual data:
The actual population in 1900 was 1650 million and in 1950 was 2560 million. While the model overestimates the population in both cases, it still captures the general trend of growth.
Evaluate 11x -4 when x = -4
Kevin has three fourths yard of string he uses one third for a school project how many yards of string did he use on the project
_______
hint the answer is not 1/3 or 33.33333333%
3/4 yard,
he used 1/3
3/4 * 1/3 = 3/12 = 1/4
he used 1/4 yard
Jared used one whole number 2/5 of soil for his garden. He is digging another garden that will need 1/5 as much soil as the original. How much will he use total.
In 2001, the United States' oil consumption was 7,297.4 millions of barrels, while Japan's was 1,979.4 millions of barrels. How many more barrels did the United States consume than Japan?
how to turn negative mixed fraction into decimal
Given f(x) = −9x5 − x4 + 3x3 − 8 and g(x) = −9x5 − 3x3 − 9x2 + 7, find and simplify f(x) − g(x)
Given f(x) = −9x5 − x4 + 3x3 − 8 and g(x) = −9x5 − 3x3 − 9x2 + 7, find and simplify f(x) − g(x)
What is (f * g * h)(x) Refer the the image below.
HECTOR PLANTED 185 FLOWERS IN 2 DAYS THERE WERE 5 VOLUNTEERS INCLUDING HECTOR WHO EACH PLANTED ABOUT THE SAME NUMBER OF FLOWERS ABOUT HOW MANY FLOWERS DID THEY PLANT
A train is traveling from New Orleans to Memphis at a constant speed of 79 mph New Orleans and Tennessee are 395.1 miles apart how long will the train take to Tennessee
Answer:
About 5.0 hours
Step-by-step explanation: