A process produces strings of Christmas tree lights that historically have experienced a defective rate of 6%. A customer has placed an order for 150 strings of lights. Use the normal approximation to the binomial distribution to answer parts a through e. a. Calculate the mean and standard deviation for this distribution. The mean is 9. (Round to four decimal places as needed.) The standard deviation is 2.9086. (Round to four decimal places as needed.) b. What is the probability that fewer than 4 strings in this order will be defective? The probability is 0.0292. (Round to four decimal places as needed.) c. What is the probability that exactly 10 strings in this order will be defective? The probability is 0.1287. (Round to four decimal places as needed.) d. What is the probability that 5, 6, or 7 strings in this order will be defective? The probability is (Round to four decimal places as needed.)

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A process produces strings of Christmas tree lights that historically have experienced a defective rate of 6%. A customer has placed an order for 150 strings of lights. Use the normal approximation
to the binomial distribution to answer parts a through e.
a. Calculate the mean and standard deviation for this distribution.
The mean is 9.
(Round to four decimal places as needed.)
The standard deviation is 2.9086
(Round to four decimal places as needed.)
b. What is the probability that fewer than 4 strings in this order will be defective?
The probability is 0.0292.
(Round to four decimal places as needed.)
c. What is the probability that exactly 10 strings in this order will be defective?
The probability is 0.1287
(Round to four decimal places as needed.)
d. What is the probability that 5, 6, or 7 strings in this order will be defective?
The probability is
(Round to four decimal places as needed.)
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Transcribed Image Text:A process produces strings of Christmas tree lights that historically have experienced a defective rate of 6%. A customer has placed an order for 150 strings of lights. Use the normal approximation to the binomial distribution to answer parts a through e. a. Calculate the mean and standard deviation for this distribution. The mean is 9. (Round to four decimal places as needed.) The standard deviation is 2.9086 (Round to four decimal places as needed.) b. What is the probability that fewer than 4 strings in this order will be defective? The probability is 0.0292. (Round to four decimal places as needed.) c. What is the probability that exactly 10 strings in this order will be defective? The probability is 0.1287 (Round to four decimal places as needed.) d. What is the probability that 5, 6, or 7 strings in this order will be defective? The probability is (Round to four decimal places as needed.) ew an example Get more help - Clear all Check answer
Much of a yearly basketball tournament takes place during the workweek. According to a survey, 40% of employed adults who plan to watch at least one tournament game say that they have
watched the yearly basketball tournament at the office. A random sample of 50 employed adults who plan to watch at least one tournament game was selected. Use the normal approximation to the
binomial distribution to answer parts a through e.
a. Calculate the mean and standard deviation for this distribution.
The mean is 20.
(Round to four decimal places as needed.)
The standard deviation is 3.4641.
(Round to four decimal places as needed.)
b. What is the probability that more than 20 adults from this sample will watch the tournament at work?
The probability is 0.4426.
(Round to four decimal places as needed.)
c. What is the probability that exactly 16 adults from this sample will watch the tournament at work?
The probability is 0.0594
(Round to four decimal places as needed.)
d. What is the probability that 12, 13, 14, 15, or 16 adults from this sample will watch the tournament at work?
IN
The probability is
(Round to four decimal places as needed.)
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Transcribed Image Text:Much of a yearly basketball tournament takes place during the workweek. According to a survey, 40% of employed adults who plan to watch at least one tournament game say that they have watched the yearly basketball tournament at the office. A random sample of 50 employed adults who plan to watch at least one tournament game was selected. Use the normal approximation to the binomial distribution to answer parts a through e. a. Calculate the mean and standard deviation for this distribution. The mean is 20. (Round to four decimal places as needed.) The standard deviation is 3.4641. (Round to four decimal places as needed.) b. What is the probability that more than 20 adults from this sample will watch the tournament at work? The probability is 0.4426. (Round to four decimal places as needed.) c. What is the probability that exactly 16 adults from this sample will watch the tournament at work? The probability is 0.0594 (Round to four decimal places as needed.) d. What is the probability that 12, 13, 14, 15, or 16 adults from this sample will watch the tournament at work? IN The probability is (Round to four decimal places as needed.) Fiew an example Get more help - Clear all Check answer
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