A greeting card shop makes cards that are supposed to fit into 15-cm envelopes. The paper cutter, however, is not perfect. The length of a cut card is normally distributed with mean and a standard deviation that depend on which of two cutters was used. Cutter A has a mean of 14.75 cm and a standard deviation of 0.172 cm and cutter B has a mean of 14.80 cm and a standard deviation of 0.15 cm. 75% of the cards are cut using cutter A. If a card is longer than 14.85 cm, it will not fit into the envelope. Answer the following: Find the probability that the card will fit into the 15-cm envelope. If a card was found not to fit, what is the probability that it was cut using cutter B? The cards will be sold in boxes of 24. What is the probability that in one box there will be two or more cards that do not fit in 15-cm envelopes?
A greeting card shop makes cards that are supposed to fit into 15-cm envelopes. The paper cutter, however, is not perfect. The length of a cut card is normally distributed with mean and a standard deviation that depend on which of two cutters was used. Cutter A has a mean of 14.75 cm and a standard deviation of 0.172 cm and cutter B has a mean of 14.80 cm and a standard deviation of 0.15 cm. 75% of the cards are cut using cutter A. If a card is longer than 14.85 cm, it will not fit into the envelope. Answer the following: Find the probability that the card will fit into the 15-cm envelope. If a card was found not to fit, what is the probability that it was cut using cutter B? The cards will be sold in boxes of 24. What is the probability that in one box there will be two or more cards that do not fit in 15-cm envelopes?
A greeting card shop makes cards that are supposed to fit into 15-cm envelopes. The paper cutter, however, is not perfect. The length of a cut card is normally distributed with mean and a standard deviation that depend on which of two cutters was used. Cutter A has a mean of 14.75 cm and a standard deviation of 0.172 cm and cutter B has a mean of 14.80 cm and a standard deviation of 0.15 cm. 75% of the cards are cut using cutter A. If a card is longer than 14.85 cm, it will not fit into the envelope. Answer the following: Find the probability that the card will fit into the 15-cm envelope. If a card was found not to fit, what is the probability that it was cut using cutter B? The cards will be sold in boxes of 24. What is the probability that in one box there will be two or more cards that do not fit in 15-cm envelopes?
A greeting card shop makes cards that are supposed to fit into 15-cm envelopes. The paper cutter, however, is not perfect. The length of a cut card is normally distributed with mean and a standard deviation that depend on which of two cutters was used. Cutter A has a mean of 14.75 cm and a standard deviation of 0.172 cm and cutter B has a mean of 14.80 cm and a standard deviation of 0.15 cm. 75% of the cards are cut using cutter A. If a card is longer than 14.85 cm, it will not fit into the envelope. Answer the following:
Find the probability that the card will fit into the 15-cm envelope.
If a card was found not to fit, what is the probability that it was cut using cutter B?
The cards will be sold in boxes of 24. What is the probability that in one box there will be two or more cards that do not fit in 15-cm envelopes?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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