# Question: According to major league baseball rules the ball must weigh

According to major league baseball rules, the ball must weigh between 5 and 5.25 ounces. A factory produces baseballs whose weights are approximately normally distributed, with mean 5.11 ounces and standard deviation 0.062

ounce.

(a) What proportion of the baseballs produced by this factory are too heavy for use by major league baseball?

(b) What proportion of the baseballs produced by this factory are too light for use by major league baseball?

(c) What proportion of the baseballs produced by this factory can be used by major league baseball?

(d) If 8000 baseballs are ordered, how many baseballs should be manufactured, knowing that some will need to be discarded?

ounce.

(a) What proportion of the baseballs produced by this factory are too heavy for use by major league baseball?

(b) What proportion of the baseballs produced by this factory are too light for use by major league baseball?

(c) What proportion of the baseballs produced by this factory can be used by major league baseball?

(d) If 8000 baseballs are ordered, how many baseballs should be manufactured, knowing that some will need to be discarded?

**View Solution:**## Answer to relevant Questions

According to a Gallup poll, 46% of Americans 18 years old or older stated that they had read at least six books (ﬁction and nonﬁction) within the past year. You conduct a random sample of 250 Americans 18 years old or ...Use the ﬁgure to answer the questions that follow: (a) What is µ? (b) What is σ? (c) Suppose that the area under the normal curve to the left of x = 10 is 0.9332. Provide two interpretations for this area. (d) Suppose ...Suppose the scores earned on Professor McArthur’s third statistics exam are normally distributed with mean 64 and standard deviation 8. Professor McArthur wants to curve the exam scores as follows: The top 6% get an A, the ...The reaction time X (in minutes) of a certain chemical process follows a uniform probability distribution with 5 ≤ X ≤ 10. (a) Draw the graph of the density curve. (b) What is the probability that the reaction time is ...The lengths of human pregnancies are normally distributed with µ = 266 days and σ = 16 days. (a) The ﬁgure represents the normal curve with µ = 266 days and σ = 16 days. The area to the right of x = 280 is 0.1908. ...Post your question