Based on a Pitney Bowes survey, assume that 42% of consumers are comfortable having drones deliver their purchases. Five consumers are randomly selected from the population that was surveyed. a) Determine the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. b) Find the probability that none of the five selected consumers is comfortable with delivery by drones. c) Find the mean and standard deviation of the probability distribution. (Hint: what type of distribution is it?) Use correct notation and units d) Use the range rule of thumb to determine if 4 of the 5 consumers being comfortable with drone deliveries are significantly high.
Based on a Pitney Bowes survey, assume that 42% of consumers are comfortable having drones
deliver their purchases. Five consumers are randomly selected from the population that was
surveyed.
a) Determine the
of them are comfortable with delivery by drones.
b) Find the probability that none of the five selected consumers is comfortable with delivery
by drones.
c) Find the mean and standard deviation of the probability distribution. (Hint: what type
of distribution is it?) Use correct notation and units
d) Use the
drone deliveries are significantly high.
Solution:
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Let X be the number of consumers are comfortable with delivery by drones and n be the sample number of consumers.
From the given information, probability that a consumer is comfortable with delivery by drones is 0.42 and n=5.
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