roximately normal he mean of the sampling distribution of p. pund to two decimal places as needed.) the standard deviation of the sampling distribution of p. Lound to three decimal places as needed.) in town believes their residents are less likely to own credit cards. They take a random sample bility is (Round to four decimal places as needed.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![According to a survey in a country, 23% of adults do not have any credit cards. Suppose a simple random sample of 700 adults is obtained.
(a) Describe the sampling distribution of p, the sample proportion of adults who do not have a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below.
O A. Not normal
O B. Approximately normal
Determine the mean of the sampling distribution of p.
HA = (Round to two decimal places as needed.)
Determine the standard deviation of the sampling distribution of p.
(Round to three decimal places as needed.)
(b) A certain town believes their residents are less likely to own credit cards. They take a random sample of 700 adults in their town. They find a sample proportion of .17. What is the probability of getting 17 or less?
The probability is (Round to four decimal places as needed.)
Would this be considered unusual?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe33eb26d-6b6f-4879-b618-4472d53426bc%2Ff5877d7e-6301-43c4-827b-a4bc25c05810%2Fl0yzr9_processed.jpeg&w=3840&q=75)
![(b) A certain town believes their residents are less likely to own credit cards. They take a random sample of 700 adults in their town. They find a sample proportion of 17. What is the probability of getting 17 or less?
The probability is (Round to four decimal places as needed.)
Would this be considered unusual?
O A. No
O B. Yes
Click to select your answer(s).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe33eb26d-6b6f-4879-b618-4472d53426bc%2Ff5877d7e-6301-43c4-827b-a4bc25c05810%2Fm2d5rg_processed.jpeg&w=3840&q=75)
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