The Bulldog Electronics Company is currently producing a submarine detector for the Navy. The detector will be powered by one of three uranium fuel cells. The fuel cells are activated sequentially, as needed. The procedure is the following. When the detector is installed at the bottom of the ocean, one fuel cell is activated. When that fuel cell stops working, a second cell is automatically activated. When it stops working, the third cell is automatically activated. The time to failure of each cell has a normal distribution with a mean of 400~hours and a standard deviation of 100~hours. Also, the time to failure of an individual cell is independent of the time to failure of any other cell. 1.iiFind the particular value b such that the probability that a cell lasts longer than b~hours is 0.9. a) Partial b) -1.29 c) 1.29 d) 136 e) 272 f) 528 g) Other _____
The Bulldog Electronics Company is currently producing a submarine detector for the Navy. The detector will be powered by one of three uranium fuel cells. The fuel cells are activated sequentially, as needed. The procedure is the following. When the detector is installed at the bottom of the ocean, one fuel cell is activated. When that fuel cell stops working, a second cell is automatically activated. When it stops working, the third cell is automatically activated. The time to failure of each cell has a normal distribution with a mean of 400~hours and a standard deviation of 100~hours. Also, the time to failure of an individual cell is independent of the time to failure of any other cell. 1.iiFind the particular value b such that the probability that a cell lasts longer than b~hours is 0.9. a) Partial b) -1.29 c) 1.29 d) 136 e) 272 f) 528 g) Other _____
The Bulldog Electronics Company is currently producing a submarine detector for the Navy. The detector will be powered by one of three uranium fuel cells. The fuel cells are activated sequentially, as needed. The procedure is the following. When the detector is installed at the bottom of the ocean, one fuel cell is activated. When that fuel cell stops working, a second cell is automatically activated. When it stops working, the third cell is automatically activated. The time to failure of each cell has a normal distribution with a mean of 400~hours and a standard deviation of 100~hours. Also, the time to failure of an individual cell is independent of the time to failure of any other cell. 1.iiFind the particular value b such that the probability that a cell lasts longer than b~hours is 0.9. a) Partial b) -1.29 c) 1.29 d) 136 e) 272 f) 528 g) Other _____
The Bulldog Electronics Company is currently producing a submarine detector for the Navy. The detector will be powered by one of three uranium fuel cells. The fuel cells are activated sequentially, as needed. The procedure is the following. When the detector is installed at the bottom of the ocean, one fuel cell is activated. When that fuel cell stops working, a second cell is automatically activated. When it stops working, the third cell is automatically activated. The time to failure of each cell has a normal distribution with a mean of 400~hours and a standard deviation of 100~hours. Also, the time to failure of an individual cell is independent of the time to failure of any other cell.
1.ii
Find the particular value b such that the probability that a cell lasts longer than b~hours is 0.9.
a) Partial
b) -1.29
c) 1.29
d) 136
e) 272
f) 528
g) Other _____
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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