A recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?" One survey item concerned the phrase "see a penny, pick it up, all day long you'll have good luck." The poll found that just one-forth of adults (25%) believe finding and picking up a penny is good luck. Consider a random sample of 15 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below. O D. A success is an adult who believes finding and picking up a penny is bad luck. b. Explain why x is (approximately) a binomial random variable. A. Sampling 2000 adults is equivalent to performing a coin-toss type experiment. The survey only contains two options and each option can be considered a success or a failure. The survey does not change from person to person and each survey response is independent of each other. O B. Binomial random variables are always obtained through sampling. The survey only contains two options and each option can be considered a success or a failure. The survey changes from person to person and each survey response is independent of each other. O C. Binomial random variables are always obtained through sampling. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The survey does not change from person to person and each survey response is dependent of all the previous responses. O D. Sampling 2000 adults is equivalent to performing a dice-roll type experiment. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The survey changes from person to person and each survey response is independent of each other. c. Give the value of p for this binomial experiment. p= 0.25 (Round to two decimal places as needed.) d. Find P(x<5). P(x<5) = 0.687 (Round to three decimal places as needed.) e. Find P(x= 6). P(x= 6) = (Round to three decimal places as needed.)

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A recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?" One survey item concerned the phrase "see a penny, pick it up, all day long you'll have good luck." The poll found that just one-forth of adults
(25%) believe finding and picking up a penny is good luck. Consider
random sample of 15 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below.
O D. A success is an adult who believes finding and picking up a penny is bad luck.
b. Explain why x is (approximately) a binomial random variable.
CA. Sampling 2000 adults is equivalent to performing a coin-toss type experiment. The survey only contains two options and each option can be considered a success or a failure. The survey does not change from person to person and each
survey response is independent of each other.
O B. Binomial random variables are always obtained through sampling. The survey only contains two options and each option can be considered a success or a failure. The survey changes from person to person and each survey response is
independent of each other.
O C. Binomial random variables are always obtained through sampling. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The survey does not change from person to
person and each survey response
dependent of all the previous responses.
OD. Sampling 2000 adults is equivalent to performing a dice-roll type experiment. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The survey changes from person
to person and each survey response is independent of each other.
c. Give the value of p for this binomial experiment.
p= 0.25 (Round to two decimal places as needed.)
d. Find P(x<5).
P(x< 5) = 0.687 (Round to three decimal places as needed.)
e. Find P(x = 6).
P(x = 6) = (Round
three decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
Transcribed Image Text:A recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?" One survey item concerned the phrase "see a penny, pick it up, all day long you'll have good luck." The poll found that just one-forth of adults (25%) believe finding and picking up a penny is good luck. Consider random sample of 15 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below. O D. A success is an adult who believes finding and picking up a penny is bad luck. b. Explain why x is (approximately) a binomial random variable. CA. Sampling 2000 adults is equivalent to performing a coin-toss type experiment. The survey only contains two options and each option can be considered a success or a failure. The survey does not change from person to person and each survey response is independent of each other. O B. Binomial random variables are always obtained through sampling. The survey only contains two options and each option can be considered a success or a failure. The survey changes from person to person and each survey response is independent of each other. O C. Binomial random variables are always obtained through sampling. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The survey does not change from person to person and each survey response dependent of all the previous responses. OD. Sampling 2000 adults is equivalent to performing a dice-roll type experiment. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The survey changes from person to person and each survey response is independent of each other. c. Give the value of p for this binomial experiment. p= 0.25 (Round to two decimal places as needed.) d. Find P(x<5). P(x< 5) = 0.687 (Round to three decimal places as needed.) e. Find P(x = 6). P(x = 6) = (Round three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.
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