Although Studies Continue to Show Smoking Leads to Significant
Get the answer to your homework problem.
Try Numerade free for 7 days
Although studies continue to show smoking leads to significant health problems, 20% ofadults in the United States smoke. Consider a group of 250 adults.a. what is the expected number of adults who smoke?b. what is the probability that fewer than 40 smoke?c. what is the probability that from 55 to 60 smoke?d. what is the probability that 70 or more smoke?
Related Question
Although studies continue to show smoking leads to significant health problems, $20 \%$ of adults in the United States smoke. Consider a group of 250 adults. a. What is the expected number of adults who smoke? b. What is the probability that fewer than 40 smoke? c. What is the probability that from 55 to 60 smoke? d. What is the probability that 70 or more smoke?
Discussion
You must be signed in to discuss.
Video Transcript
for this problem, we need to identify that it is a binomial distribution With the success rates p of 0.20. And then the sample space of 250. For the first question, we have to determine the expected number of adults who smoke and the expected number E of X. It's also the mean and it has given us and times p. Do you have 250? Times 0.20 Not is equal to 50. For the next question, you have to determine the probability that Fewer than 40 smoke. So we need to label or define our random variable is X. And this represents the the number of people who smokes. Okay to recognize this statement as the probability that X Is less than 40. Since you are approximating the binomial distribution to a normal approximation, I'm going to use the term continuity. And by applying continue to have the probability that X is slides down 39.5. We need to compute the Z score for this. The formula is Z is equal to x minus the mean divided by the standard division. Do you have our eggs by United? 39.5? I mean it's 50. And for standard debates we need to complete the standard deviation with a standard deviation is equal to the square root of any times, Multiplied by one -P. Now, n times B it's 50 We have 15 times 1 -4. That is one 0.2. and I guess I 0.8. Now let's go to 40, honest, equal to 6.3- five. Therefore, in completing the Z score, we have probability that Z is less than 39.5-. They mean that is 50 divided by the standard deviation 6.3- five. Now this becomes the probability that Z is less than negative 1.66. To complete this, probability If you determine the normal of negative 1.6 is from the table That is equal to 0.04, it's faith. Let's move on to the next question. We have to determine the probability that from 50 from 55 to 60 smoke That is he called their probability that 55 it's less than or equal to X. Another slaves than or equal to 60. By applying continuity. We have probability that 54.5 is less than or equal to X. That is less than or equal to 60.5. We compute the disease course. We have 54.5 -5 50. The meal divided by 6.3-5 and it's less than or equal to zero, which is less than or equal to 60.5 minus 50 invited by 6.325. And that gives us the probability that 0.71, less than equal to Z. That is less than or equal to 1.66. So this becomes a normal of 1.66 minus the normal of 0.71. Okay, So we have 0.9515 minus zero point 7611. Do the subtraction. And we have 0.19 04. Until the final question. We have to determine the probability that 70 or more smoke. You know the probability that X is better than Or equal to 70. We apply continuity and we have X to be greater than or equal to 69.5. Go ahead. And computers the score, I'm not getting out the probability that Z is gets all done or equal to three points 08. This becomes 1- the amount of 0.0 Age. We have one 0.99 90 96, 10.
Source: https://www.numerade.com/ask/question/although-studies-continue-to-show-smoking-leads-to-significant-health-problems-20-ofadults-in-the-united-states-smoke-consider-a-group-of-250-adultsa-what-is-the-expected-number-of-adults-wh-91646/
0 Response to "Although Studies Continue to Show Smoking Leads to Significant"
Post a Comment