Question

According to a study, 80% of married people hide purchases from their mates. A random sample of 20 randomly selected married people is taken. 31. Use Minitab to calculate the probability that exactly 19 of the 20 randomly selected married people hide purchases from their mates. (2 points) 32. Use Minitab to calculate the probability that 19 or more people hide purchases from their mates. (2 points) 33. Use Minitab to calculate the probability that fewer than 12 people hide purchases from their mates. (2 points) The mean number of pages that a certain toner cartridge can print is 4302, with a standard deviation of 340. Assume that the number of pages that a cartridge will print is normally distributed. 35. Use Minitab to find the probability of a toner cartridge printing between 3500 and 4500 pages. (2 points) 36. Use Minitab to find the probability of a toner cartridge printing fewer than 4000 pages. (2 points)

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The distribution follows a binomial distribution with n=20, p=0.8, q=0.2

The values of the probabilities for various values of X are as below:

X p(X)
0 1.04858E-14
1 8.38861E-13
2 3.18767E-11
3 7.65041E-10
4 1.30057E-08
5 1.66473E-07
6 1.66473E-06
7 1.33178E-05
8 8.65659E-05
9 0.000461685
10 0.002031414
11 0.007386959
12 0.022160877
13 0.05454985
14 0.109099701
15 0.174559522
16 0.218199402
17 0.205364143
18 0.136909429
19 0.057646075
20 0.011529215

31. P(X=19) = C[20,19] x 0.819 x 0.21 = 0.0576

32. P(X>=19) = P(X=19) + P(X=20) = 0.0576 + 0.0115 = 0.0691

33. P(X<12) = 0.00998 ~ 0.01

Add a comment
Know the answer?
Add Answer to:
According to a study, 80% of married people hide purchases from their mates. A random sample...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. Walgreens sells both Kleenex and NyQuil. In a random sample of 5000 purchases, it was...

    1. Walgreens sells both Kleenex and NyQuil. In a random sample of 5000 purchases, it was found that 1200 contained Kleenex and 540 contained NyQuil. These are not independent because sick people are more likely to buy both and healthy people more likely to buy neither. In looking into that, it was found that 360 purchases contained both. a. Make a two-way table to display this information. Fill in the table with the missing entries, and be sure your table...

  • part E According to a study, the proportion of people who are satisfied with the way...

    part E According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.74. Suppose that a random sample of 100 people is obtained Complete Cick here to view the standard norma t ion tabletaget Click here to view the standard normal bon table (page 2 (c) Describe the samping distribution of the proportion of people who are satisfied with the way things are going in their te. Be sure...

  • A local county has an unemployment rate of 6.2%. A random sample of 19 employable people are pick...

    A local county has an unemployment rate of 6.2%. A random sample of 19 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places. a) Find the probability that exactly 2 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 4 in the...

  • 13.Assume that 12 jurors are selected from a population in which 80​% of the people are​...

    13.Assume that 12 jurors are selected from a population in which 80​% of the people are​ Mexican-Americans. The random variable x is the number of​ Mexican-Americans on the jury. Find the probability of exactly 5 ​Mexican-Americans among 12 jurors. ​P(5​)equals= Find the probability of 5 or fewer Mexican-American among 12 jurors. à https://www.mathxl.com/Student/PlayerHomeworkaspx?homeworkld-512478192&questionld-28flushed-false MAT : : 2 í SST nemnt etatistics Spring 2019 nework: Section 5.2 Homework Save Score: 0 of 1 pt 5.2.22 13 of 19 (7 complete) >...

  • The table below summarizes results from a study of people who refused to answer survey questions.

     The table below summarizes results from a study of people who refused to answer survey questions. A market researcher is not interested in refusals or subjects below 22 years of age or over 59. Find the probability that the selected person refused to answer or is below 22 or is older than 59. The probability that a randomly selected person refused to answer the survey question or is below 22 or is older than 59 is _______ (Do not round until...

  • According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.76 Suppose that a random sample of 100 people is obtained. Complete parts (a) through...

    According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.76 Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. (a) Suppose the random sample of 100100 people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain. A.The response is qualitative because the responses can be measured...

  • (c) A sample of 80 people is selected at random from a demographic group to complete a questionnaire on lifestyle choices. As part of this survey, each respondent is asked whether he or she regularly...

    (c) A sample of 80 people is selected at random from a demographic group to complete a questionnaire on lifestyle choices. As part of this survey, each respondent is asked whether he or she regularly take part in organised sport. It is known that 29% of all the people in the demographic group regularly take part in organised sport. Use a suitable approximation to calculate the probability that at least 20 of the people in the sample regularly take part...

  • 1: Suppose that you take a random sample of 300 people and find that 102 of...

    1: Suppose that you take a random sample of 300 people and find that 102 of them say they prefer to buy organic food whenever possible, even if it’s more expensive. What is the sample proportion of people who prefer to buy organic? What is the standard deviation of the sample proportion? Calculate a 95% confidence interval for the population proportion. Do you reject the null hypothesis: p = 40%? Do you reject the null hypothesis p = 30%? 2:...

  • 1. Suppose that 81% of the people in Houston live in the city and 19% of...

    1. Suppose that 81% of the people in Houston live in the city and 19% of the people live in the suburbs. If the 21,000 undergraduate students from UH represent a random sample of the population, what is the probability that the number of UH undergraduates are from suburbs will be fewer than 4,000? (Hint: Apply normal approximation to binomial probability via CLT.) 2. Suppose that the body mass index (BMI) measure for adults is normally distributed with mean 21.7...

  • Based on information from a previous study, r = 34 people out of a random sample...

    Based on information from a previous study, r = 34 people out of a random sample of n = 101 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 101 adult Americans who did attend college, '2 = 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT