Hits 0 1 2 3 4 5 Games 29 62 33 12 3 1 USE 3 DECIMAL PLACES FOR ALL ANSWERS. 1.

Question

Hits 0 1 2 3 4 5 Games 29 62 33 12 3 1 USE 3 DECIMAL PLACES FOR ALL ANSWERS. 1. What is the mean of the probability distribution? 1.29 2. What is the variance of the probability distribution? 1.0071 3. What is the standard deviation of the probability distribution? 1.0035 4. What is the probability that the player had fewer than 2 hits per game? nothing 5. What is the probability that the player had at least 1 hit per game? nothing 6. What is the probability that the player had between 1 and 3 hits per game inclusive? nothing 7. On average how many hits per game did the player have? A. no hits B. less than 1 hit C. between 1 and 2 hits D. more than 2 hits 8. The player claims that it would be unusual for him to have a game with no hits. Is he correct? Yes No 9. How did you determine the answer to #8? A. It would not be unusual since the probability of having no hits is less than .05 B. It would be unusual since the probability of having no hits is less than .05 C. It would be unusual since the probability of having no hits is greater than .05 D. It would not be unusual since the probability of having no hits is greater than .05

Explanation / Answer

1)  mean of the probability distribution=1.29

2) variance of the probability distribution=1.007

3) standard deviation of the probability distribution =1.0035

4) probability that the player had fewer than 2 hits per game =P(X=0)+P(X=1) =0.2071+0.4429 =0.6500

5)probability that the player had at least 1 hit per game=P(X>=1) =1-P(X=0)=1-0.2071 =0.7929

6) probability that the player had between 1 and 3 hits per game inclusive =P(X=1)+P(X=2)+P(X=3)=0.7643

7) On average how many hits per game did the player have =1.29

8)No

9) D. It would not be unusual since the probability of having no hits is greater than .05

f(y) y p(y) yP(y) (y-)2 (y-)2P(y) 29 0 0.207 0.000 1.671 0.346 62 1 0.443 0.443 0.086 0.038 33 2 0.236 0.471 0.500 0.118 12 3 0.086 0.257 2.914 0.250 3 4 0.021 0.086 7.329 0.157 1 5 0.007 0.036 13.743 0.098 140 total 1 = 1.29 26.243 2= 1.0071 std deviation=     =    2 = 1.0035

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

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