Hello, Please help me with two statistics problem! A professional baseball team

Question

Hello, Please help me with two statistics problem!

A professional baseball team uses a mechanical pitcher for batting practice. After a year, the team decided to try out an improved model that throws at more consistent speeds. After collecting data, it was determined that the pitching speeds were normally distributed. The following graphs are the estimated density functions for both the current and the improved models MP ROVED The dashed lines are placed at the mean (120 mi/hr) plus or minus one standard deviation in each distribution. Consider the following statements .The standard deviation of the improved model is less than that of the current model Il. The probability that a pitch will fall outside the dashed lines is less for the improved mechanical pitcher than for the current mechanical pitcher IIl. The probability that pitches will be at least 116 mi/hr is greater for the current model than for the improved model. IV. The area under the curve for the current mechanical pitcher is greater than the area under the curve for the improved mechanical pitcher. Which of the following statements is correct? OStatements I. and lI. are correct Three of the statements are incorrect Statements I. and Ill. are correct. Either Statements II. or IV. is correct.

Explanation / Answer

I will answer 1st question only

Correct answer is option A

I) it is obvious from the graph that the variance is low in case of improved case.

ll) because of l) this is correct

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