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-fifth of adults (20%) believe finding and picking up a penny is good luck. Consider a random sample of 10 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below.
a. For this experiment, define the event that represents a "success."
A. À success is an adult who believes finding and picking up a penny is bad luck.
B. A success is an adult who does not believe finding and picking up a penny is good luck.
C. A success is an adult who does not believe finding and picking up a penny is bad luck.
D. A success is an adult who believes finding and picking up a penny is good luck.
b. Explain why x is (approximately) a binomial random variable.
A. 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.
B. 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.
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.
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-fifth of adults (20%) believe finding and picking up a penny is good luck. Consider a random sample of 10 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below.
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.
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.
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= (Round to two decimal places as needed.)
d. Find P(x<6).
P(x<6)=, (Round to three decimal places as needed.)
e. Find P(x=4).
P(x=4)= (Round to three decimal places as needed.)
f. Find P(x>3).
P(x>3)= (Round to three decimal places as needed.)
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-fifth of adults (20%)believe finding and picking up a penny is good luck. Consider a random sample of 10 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below.
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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.
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.
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
(Round to two decimal places as needed.
d.Find Px<6.
Px6= (Round to three decimal places as needed.)
e.Find P(x=4. P(x=4=(Round to three decimal places as needed.)
f.Find P(x>3) Px>3= (Round to three decimal places as needed.
