Sue Buys a Large Packet of Rice

question 71

Multiple Choice

Sue buys a large packet of rice.The amount of rice that the manufacturer puts in the packet is a random variable with a mean of 1,016 g and a standard deviation of 8 g.The amount of rice that Sue uses in a week has a mean of 200 g and a standard deviation of 29 g.If the weight of the rice remaining in the packet after a week can be described by a normal model,what's the probability that the packet still contains more than 831.0 g after a week?

• A)0.655
• B)0.274
• C)0.691
• D)0.309
• E)0.345

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Definitions:

Symmetric

A characteristic of shapes or distributions that exhibit mirror-like similarity on either side of a central point or axis.

Histogram

A graphical representation of the distribution of numerical data, using bars of different heights to show the frequency of data in successive intervals.

Vertical Line

A vertical line is a straight line that goes up and down without any tilt, perfectly perpendicular to a horizontal plane, often used in geometric contexts and graphing.

Frequency Distribution

An arrangement of data that shows how often each different value occurs in a dataset.