Question

According to goverment data, the probability that an adult was never married is 19%. You randomly...

According to goverment data, the probability that an adult was never married is 19%. You randomly select 49 adults and ask if he or she were ever married. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation. If not, explain why.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given that, According to government data, the probability that an adult was never married is 19%. You randomly select 49 adults and ask if he or she were ever married.

Here, n = 49 and p = 0.19

np = 49 * 0.19 = 9.31 and n(1 - p) = 49 * (1 - 0.19) = 39.69

since n >30 and both np & n(1 - p) > 5,
we can very well use the normal distribution to approximate the binomial distribution.

Mean = np = 49 * 0.19 = 9.31

standard deviation =

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to recent data, the probability that an adult never had the flu is 11%. You...
According to recent data, the probability that an adult never had the flu is 11%. You randomly select 130 adults and ask if they ever had the flu. Decide whether you can use the normal distribution to describe the sampling distribution. If so, use the normal distribution to approximate the probability of getting more than 15 adults who never had the flu.
A binomial experiment is given. Decide whether you can use the normal distribution to approximate the...
A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you​ can, find the mean and standard deviation. If you​ cannot, explain why. A survey of adults found that 41 ​% have used a multivitamin in the past 12 months. You randomly select 40 adults and ask them if they have used a multivitamin in the past 12 months.
According to government data, the probability that an adult was never in a museum is 15%....
According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what is the probability that two or fewer were never in a museum? Round to the nearest thousandth.
According to government data, the probability that an adult was never in a museum is 18%....
According to government data, the probability that an adult was never in a museum is 18%. In a random survey of 15 adults, what is the probability that at least three were never in a museum? Round the answer to 4 decimal places
According to government data, the probability that an adult was never in a museum is 18%....
According to government data, the probability that an adult was never in a museum is 18%. In a random survey of 15 adults, what is the probability that two or fewer were never in a museum? Round the answer to 4 decimal places
For this question, use a Binomial Probability Distribution. Assume all conditions are met. According to data...
For this question, use a Binomial Probability Distribution. Assume all conditions are met. According to data from the U.S. Social Survey, the probability that an adult was never in a museum is 15%. You may safely assume that one randomly selected adult having never been in a museum does not change the chances of another adult having never been in a museum. (a) If 10 adults are randomly surveyed, what is the probability that 6 of them have never been...
A binomial experiment is given. Decide whether you can use the normal distribution to approximate the...
A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you​ can, find the mean and standard deviation. If you​ cannot, explain why. A survey found that 83​% of parents of teenagers have taken their​ teenager's cell phone or Internet privileges away as a punishment. You randomly select 19 parents of teenagers and ask them whether they have taken their​ teenager's cell phone or Internet privileges away as a punishment. Select...
The probability that a woman between the ages of 25 and 29 never married is 40%....
The probability that a woman between the ages of 25 and 29 never married is 40%. i.e. p = 0.40 and q = 1 - 0.40 = 0.60 Given n = 10. The given data follows a Binomial distribution. Mean = np = 10*0.40 = 4 SD = ?variance = ?npq = ?10*0.4*0.6 =1.549 So, out of a sample of 10 random women in that age group, how many would be usual out of 10 to say never married? (Hint:...
Decide whether you can use the normal distribution to approximate the binomial distribution. If you can,...
Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 56% of those who text on cell phones receive spam or unwanted messages. You randomly select 100 adults who text on cell phones. a-Find the probability that the number of...
Decide whether you can use the normal distribution to approximate the binomials distribution. If you can,...
Decide whether you can use the normal distribution to approximate the binomials distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A surgery of adults found that 74% of those who text on cell phones receive spam or unwanted messages. You randomly select 100 adults who text on cell phones. Complete parts (a) through (d). Determine whether...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT