A boat capsized and sank in a lake. Based on an assumption of a mean weight of 140 Ib, the boat was rated to carry 50 passengers (so the load limit was 7,000 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 140 lb to 170 Ib. Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 173.7 lb and a standard deviation of 38.4 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 140 lb. The probability is (Round to four decimal places as needed.)

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.