Question: Here is a question I found i dont know to do it. 6.36 Manufacturing and Product Development Pressurized carbon dioxide is usually added to soda

Here is a question I found i dont know to do it.

Here is a question I found i dont know to do it.

6.36 Manufacturing and Product Development Pressurized carbon dioxide is usually added to soda in order to alleviate the sweet taste of the drink and to stop some microbes from growing. While the amount of carbon dioxide varies, most sodas are bottled under high pressure. The internal pressure of a refrigerated can of a certain cola has a mean value of 276 kilopascals (kPa) at 16 C." Suppose the pressure is normally distributed, with a standard devi- ation 7 kPa. A can of this cola (at 16 'C) is randomly selected. a. What is the probability that the internal pressure is less than 270 kPa? b. What is the probability that the internal pressure is between 265 and 275 kPa? c. If the internal pressure is more than 300 kPa when the can is opened, the liquid will spill out of the can. What is the prob- ability of a spill? d. If a person shakes the can for a minimum of 30 seconds, the mean internal pressure changes to 289 kPa (while the standard deviation remains the same). What is the probability that the liquid in a shaken can will spill out when the can is opened

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