Airline Satisfaction: A CNN/USA - Today/Gallup poll in April 2005 reported that

Question

Airline Satisfaction: A CNN/USA - Today/Gallup poll in April 2005 reported that 75% of adult Americans were satisfied with the job the nation's major airlines were doing. Suppose 10 adult Americans are selected at random and the number w ho are satisfied is recorded. Find the probability that exactly 6 are satisfied with the airline. Find the probability that fewer than 7 are satisfied with the airline. Find the probability that 5 or more are satisfied with the airline. Find the probability that between 5 and 8, inclusive, are satisfied with the airline.

Explanation / Answer

X~bin(10,0.75))

1. P(X=6)=10C6*0.756*0.254=0.146

2. P(X<7)=P(X>=7)=1-P(X=7)-P(X=8)-P(X=9)-P(X=10)=1-0.2503-0.2816-0.1877-0.0563=0.2241

3. P(X>=5)=0.0584+0.1460+0.2503+0.2816+0.1877+0.0563=0.9803

4. P(4<X<9)=1-0.1877-00563-1+0.9803=0.7363

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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