The Mean Weight of a Group of Boys Is 165

question 36

Multiple Choice

The mean weight of a group of boys is 165 lb, with a standard deviation of 20 lb. If the weights are normally distributed, find the probability that one of the boys picked at random from the group weighs between 150 and 195 lb. Round your answer to four decimal places. ​

• A)0.4332
• B)0.2734
• C)0.1598
• D)0.7066
• E)0.2934

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Definitions:

Poisson Distribution

The Poisson distribution is a probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events happen with a known constant rate and independently of the time since the last event.

Variance

A measure of the dispersion or spread of a set of data points around their mean value, quantifying how much the data points differ from the average.

Poisson Problem

A statistical problem that deals with counting the number of events that occur randomly over a fixed period or in a fixed space, assuming that these events happen with a known constant mean rate and independently of the time since the last event.

Number of Events

The total count of occurrences or actions within a specified context or timeframe.