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A recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?
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Can someone please explain how to calculate d, e, & f. I have done this problem and a similar problem like it (each 5 times) and I am still getting it wrong. I know it's binomial and I am doing the formula on my calculator, but I don't know what am I hitting wrong.

Screen Shot 2019-10-01 at 19.25.05.png
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 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 A. 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.
O B. 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 C. 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.
D. 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. Give the value of p for this binomial experiment.
p = 0.20 (Round to two decimal places as needed.)
d. Find P(x < 3).
P(x <3) = 0.398 (Round to three decimal places as needed.)
e. Find P(x = 5).
P(x =5) = 0.103 (Round to three decimal places as needed.)
f. Find P(x > 6).
P(x > 6) = 0.018 (Round to three decimal places as needed.)

Step-by-step answer

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