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
cricket20 [7]
3 years ago
13

Suppose you select a sample of 12 individuals and find that 10 of them do not exercise regularly. Assuming that the Surveillance

System is correct, what is the probability that you would have obtained results as bad or worse than expected
Mathematics
1 answer:
Leto [7]3 years ago
6 0

Answer:

a. mean = 6.96 , standard deviation = 1.71 b. 0.0641

Step-by-step explanation:

Here is the complete question

According to the Behavioural Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary means does not exercise).

a. If you selected repeated samples of 12 from the U.S. population, what would be the mean number of individuals per sample who do not exercise regularly? What would be the standard deviation?

b. Suppose you select a sample of 12 individuals and find that 10 of them do not exercise regularly. Assuming that the Surveillance System is correct, what is the probability that you would have obtained results as bad or worse than expected?

<em>Solution</em>

a. Since we can only have two types of outcomes, that is, those who exercise and those who do not exercise, the problem follows a binomial distribution.

Since the probability of those who do not exercise, p = 58 % = 0.58,

the mean of the binomial distribution μ = np where n = sample number = 12

So, μ = 12 × 0.58 = 6.96

The standard deviation of a binomial distribution σ = √(npq) where q = probability that people exercise = 1 - p = 1 - 0.58 = 0.42

So, σ = √(12 × 0.58 × 0.42) = √2.9232 = 1.71

b. To find the worst case, we consider the probability that at best, two exercise. Since two exercise, the probability that at best two exercise is ¹²C₂q²p¹⁰ + ¹²C₁qp¹¹ + ¹²C₀q⁰p¹²

= (12 × 11/2)(0.42)²(0.58)¹⁰ + 12(0.42)(0.58)¹¹ + 1 × (0.42)⁰(0.58)¹²

= 0.05 + 0.0126 + 0.00145

= 0.06405

≅ 0.0641

You might be interested in
Can someone plsss help :)
OLga [1]
Set equal to eachother
(2x+1) = 79
Subtract 1 from both sides
2x=78
Divide 2 from both sides
2x/2=78/2
X= 39
5 0
3 years ago
Two buses are traveling the same route toward a hotel. Bus 1 travels at a rate of 55 miles per hour This is bus two:
Charra [1.4K]

Answer:

Bus 1 is traveling faster.

Step-by-step explanation:

The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.

Hope it helps!

3 0
2 years ago
1/x^-2 x=7 yeet yeet
Yanka [14]

Answer:

49

Step-by-step explanation:

x = 7

1 / x^-2

= x^2

= 7^2

= 49

8 0
2 years ago
10 years ago, there were 35 mountain lions and today there are 21. Find the percent of change.
charle [14.2K]

Answer:

40%

Step-by-step explanation:

I I think they were asking about percentage decrease.percentage decrease=to decrease over original price x 100%

4 0
2 years ago
Find the smallest positive integer that is greater than $1$ and relatively prime to the product of the first 20 positive integer
ValentinkaMS [17]

Answer:

23

Step-by-step explanation:

since the number is relatively prime to the product of the first 20 positive numbers

It number must not have factor of (1-20)

Therefore the smallest possible number is the next prime after 20

Answer is 23

7 0
3 years ago
Other questions:
  • Which of the following best describes the term induction?
    12·1 answer
  • The unit rate, in pounds per day, of catching 4/5 of a pound of fish in 1/2 days.
    12·1 answer
  • Find two numbers between 100 and 150 that have a GCF of 24.
    11·1 answer
  • Does anyone know this?
    12·1 answer
  • 2. Does the point (2, 3) lie on the graph of y = 3x - 4 ? Explain. (2 points)
    12·1 answer
  • Find the area of the figure. (Sides meet at right angles.)
    5·2 answers
  • Simplify 2 + 3[4 + (7 – 3) – 23]<br> *0<br> *2<br> *10<br> *8
    15·1 answer
  • When Anne had one cat, she needed to serve 1/8 of a can of cat
    5·1 answer
  • Whole numbers from 1 to 10 are placed in a bag. Olga picks two cards at once at random from the bag. What is the
    14·1 answer
  • Annie's soccer team is conducting a passing drill in which each of the 11 members of the soccer team must pass the ball to each
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!