During a stretch of the 2009 baseball season. Colorado Rockies pitcher Ubaldo Ji

Question

During a stretch of the 2009 baseball season. Colorado Rockies pitcher Ubaldo Jimenez threw 2825 pitches. Of these 1912 were fastballs, 228 were curveballs, 457 were sliders, and 228 were changeups. For a), suppose that Ubaldo Jimanez is going to throw one pitch. What is the probability that he throws a "breaking ball" (i.e., a curveball or a slider)? (Give 4 decimal places) For b)-c), suppose that Ubaldo Jimanez is going to throw three independent pitches in a row. What is the probability that he throws three fastballs in a row? (Give 4 decimal places) What is the probability that he throws first a fastball, then a slider then a changeup? (Given 4 decimal places) Explain why Ubaldo Jimanez' three pitches are likely not independent in the context of the situation.

Explanation / Answer

A) P(breaking ball) = (228+457)/2825 = 0.2425

B) P(3 fast balls in a row) = (1912/2825) x (1912/2825)x (1912/2825) = 0.3100

C) P(first a fastball, then a slider, then a changeup)

= (1912/2825)x(457/2825)x(228/2825)

= 0.0088

D) In this situation, he wont want to throw same pitches continously. He will cautiously determine how to pitch the ball, depending on the situation and the hitter. So, his pitches wont be independent

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.