1answer.
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
Damm [24]
3 years ago
13

In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is

selected, approximate the probability that at least 26 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal place
Mathematics
1 answer:
Lilit [14]3 years ago
6 0

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of  adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

\mu=np=300\times0.077=23.1

\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62

Now, using formula z=\dfrac{x-\mu}{\sigma}, the z-value corresponding to 26 will be :-

z=\dfrac{26-23.1}{4.62}\approx0.63

Using standard distribution table for z , we have

P-value=P(z\geq0.63)=1-P(z

=1-0.7356527=0.2643473\approx0.2643

Hence, the probability that at least 26 in the sample are unemployed  =0.2643

You might be interested in
Question 4 help please
IgorC [24]
I would say about 40%
6 0
3 years ago
Read 2 more answers
Pls help how do i solve for x in this equation??
evablogger [386]

Answer:

x = -2

Step-by-step explanation:

1. Square both sides
x^2 +3x + 6 = x^2
2. Subtract x^2 from both sides
3x + 6 = 0
3. Subtract 6 from both sides and divide by 3
x = -2

6 0
1 year ago
What is the range of this data set? 64º, 72º, 74º, 68º, 70º, 68º, 68º, 75º and 44º
Lina20 [59]

Answer:

The range is found by subtracting the lowest number (44) from the highest number (75).  75-44=31  So your range is 31

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the limit of the infinite series?
Ipatiy [6.2K]

Answer:

does not exist

Step-by-step explanation:

According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.

Applying the divergence test here:

lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4

This is not 0, so the series does not converge, meaning the sum does not exist.

7 0
3 years ago
What is 1,627,187 rounded to the nearest ten?
olga55 [171]
The answer is 1,627,190
7 0
3 years ago
Read 2 more answers
Other questions:
  • Lines s and t are perpendicular. If the slope of line s is -5, what is the slope of line ?
    7·2 answers
  • Which set of three side lengths will not form a triangle? A 17, 12, 6 B 25, 38, 13 C 36, 14, 27 D 39, 44, 6
    12·1 answer
  • Which of the following is an example of a proper fraction?
    5·2 answers
  • Write an equation for the problem.Then Solve. What number is 8% of 50?
    9·1 answer
  • HELP 20 POINTS!! COMPARE 4.1 -3 1/2
    7·2 answers
  • What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
    13·1 answer
  • Prove the equation above is equal​
    9·1 answer
  • Students at a local university have the option of taking freshman seminars during their first year in college. A survey of the f
    8·1 answer
  • NEED HELP QUICK!!! ∆PQR ~ ∆CDR. m∠C = 2(x +20)º, m∠PQR = (4x), and m∠P = (5x - 5)º. Find x.
    12·1 answer
  • Pls what is 15=2d-0.5?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!