The amount of fuel consumed by the engines of a jetliner on a flight between two cities is a normally distributed random variable X with mean=5.7 tons and standard deviation =0.5 tons. Carrying to much fuel is inefficient as it slows the plans.If, however, too little fuel is loaded on the plane, an emergency landing may be necessary. What should be the amount of fuel to load so that there is 0.99 probability that the plane will arrive at its destination without emergency landing?

probability of 3 customers or less in any ho ? (c) What is the expected value, or mean, and standard deviation for this distribution? 10- 08 7. In a razor blades manufacturing factory, there is small chance of 1/500 for any blade to be defective. The blades are supplied in packets of 10. Find the approximate number of packets containing (a) no, (b) 1, and (c) 2 defective blakes in a consignment of 10,000 packets 8. If P (x = 1) = P(x = 2). for a distribution or Poisson random variable X. Find the mean of the distribution. 10. The amount of fuel consumed by the engines of a jetliner on a flight between two cities is a normally distributed random variable X with mican u = 5.7 tons and standard derivation o = 0.5 tons. Carrying too much fuel is inefficient as it slows the plans. If. however, too little fuel is loaded on the plane, an emergency landing may be necessary. What should be the amount of fuel to load so that ther is 0.99 probability that the plane will anive at its destination without emergency landing? 1 1. A manufacturing company regularly consumes a special type of glue purchased from a foreign supplier. From past experience, the materials manager notes that the company's demand for glue during the uncertain lead-time is normally distributed with a mean of 187.6 gallons and a standard deviation of 12.4 gallons. The company follows a policy of placing the order when the glue stock falls to a predetermined value, called "re-order point". It the demand during lead-time exceeds the reorder level. the glue would go ' stock-out' and production process would have to stop. (a) If the re-order point is kept at 187.6 gallons, what is the probability that a stock-out condition would occur? 338probability of 3 customers or less in any ho ? (c) What is the expected value, or mean, and standard deviation for this distribution? 10- 08 7. In a razor blades manufacturing factory, there is small chance of 1/500 for any blade to be defective. The blades are supplied in packets of 10. Find the approximate number of packets containing (a) no, (b) 1, and (c) 2 defective blakes in a consignment of 10,000 packets 8. If P (x = 1) = P(x = 2). for a distribution or Poisson random variable X. Find the mean of the distribution. 10. The amount of fuel consumed by the engines of a jetliner on a flight between two cities is a normally distributed random variable X with mican u = 5.7 tons and standard derivation o = 0.5 tons. Carrying too much fuel is inefficient as it slows the plans. If. however, too little fuel is loaded on the plane, an emergency landing may be necessary. What should be the amount of fuel to load so that ther is 0.99 probability that the plane will anive at its destination without emergency landing? 1 1. A manufacturing company regularly consumes a special type of glue purchased from a foreign supplier. From past experience, the materials manager notes that the company's demand for glue during the uncertain lead-time is normally distributed with a mean of 187.6 gallons and a standard deviation of 12.4 gallons. The company follows a policy of placing the order when the glue stock falls to a predetermined value, called "re-order point". It the demand during lead-time exceeds the reorder level. the glue would go ' stock-out' and production process would have to stop. (a) If the re-order point is kept at 187.6 gallons, what is the probability that a stock-out condition would occur? 338