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
Softa [21]
3 years ago
10

Twenty-nine percent of americans say they are confident that passenger trips to the moon will occur in their lifetime. You rando

mly sample 200 americans and ask if they believe passenger trips to the moon will occur in their lifetime. What is the probability that less than 40% of the people sampled will answer yes to the question?
Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

The probability is 0.0014

Step-by-step explanation:

When we have two possible outcomes p, q and we repeat the experiment multiple times, we apply the Binomial distribution, in this distribution the probability of getting exactly k successes in n trials is given by

P(X=k)  = nCk(p)^k(1-p)^{n-k}

where p represents the probability of success. nCk refers to the combinations of k elements out of n elements.

In this case, p= .29 (the probability that the person says "yes" being confident that passenger trips to the moon will occur in their lifetime.

q = .71 (The probability that the person says "no")

We sample 200 americans, therefore, we have n = 200 and we need the probability that less than 40% of the people sampled answer "yes".

The 40% of 200 is 80. So, in other words, we need less than 80 people to answer yes to the question.

P(x<80) = P(x=0) + P(x=1) + P(x=2) + .... + P(x=79) = 0.00143466294 (we can use a Binomial Distribution calculator to compute this result)

Therefore, P(x < 80) = 0.0014

You might be interested in
Please help me with this!!!
Vika [28.1K]

Answer:

Step-by-step explanation:

whatheactualfuk i think its 98?

8 0
3 years ago
Create a pattern with the rule n-4
aalyn [17]
You would make a table first, the top part, just start from zero and add every time. Hope this helps
5 0
3 years ago
What is the answer to number 5&amp;6?
Ierofanga [76]
This is the answer I hope this will help you

5 0
3 years ago
Read 2 more answers
A sequence of numbers a1, a2, a3, . . . is defined as follows: a1 = 3, a2 = 5, and every term in the sequence after a2 is the pr
Dmitry [639]

Answer:

  (D)  t^4

Step-by-step explanation:

You have defined ...

  a3 = a2·a1

  a4 = a3·(a2·a1) = a3²

  a5 = a4·(a3·a2·a1) = a4² = (a3²)² = a3⁴

Then if a3 = t, a5 = t⁴

6 0
3 years ago
In a linear equation, the independent variable increases at a constant rate while the dependent variable decreases at a constant
Vadim26 [7]
The best and most correct answer among the choices provided by your question is the second choice or letter B.

<span>The slope of this line is NEGATIVE.</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
4 0
3 years ago
Read 2 more answers
Other questions:
  • HELP PLEASE VERY QUICK, I'LL MARK AS BRAINLIEST!
    5·1 answer
  • Any ideas friends? cant seem to figure this out
    12·1 answer
  • What is 16.403 rounded to the nearest tenth
    8·2 answers
  • Is 2(x - 3) equals 2x plus 5 a solution
    9·1 answer
  • in one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
    13·1 answer
  • The number 2 is chosen to begin a ladder diagram to find the prime factorization of 66. What other numbers could have been used
    9·1 answer
  • The perimeter of a rectangular field is 318 yards. If the width of the field is 74 yards, what is its length?
    10·2 answers
  • PLEASE HELP I ONLY HAVE 10 minutes
    9·2 answers
  • Which shape is both rectangle and a square?
    10·2 answers
  • What is the most important criteria for a sample to be<br> considered unbiased?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!