G of all gadulte stude x leypluss.com/edugen/student/maintr uni cess, place your

Question

G of all gadulte stude x leypluss.com/edugen/student/maintr uni cess, place your bookmarks here on the boakmaris bar. lmpan bookmarka nowa BusINESS STATISTICS (ECON 24 Black, Business Statistics, se What is the frst big change that American drivers made due to higher gas According to an Access America survey, 20% said that it was cutting recreational diving. However, 24% said that it was consaldating figures are for al American drivers, and r 20 such dsvers are randomly sampled and asked what is the first big change they made due to higher gas prices. a. What is the probabilty that exactly B said that it was consolidating or reducing errands? b What is the probablity that none of them said that it was cutting reoreational driving? .what is the prebabity that more than 7 said that was cutting recreational driving? (Round your answer to 4 dacional places) Round your answer to 7 places J *(Round your answer 3 decimal places when calaulabing using A2.) Question Attempts 0 of 2 used All Rights Reserved

Explanation / Answer

Here n = 20

p1 = P(cutting recreational driving) = 20% = 0.2

p2 = P(consolidating or reducing errands) = 24% = 0.24

For all the three questions we use binomial distribution.

The probability mass function of binomial distribution is,

P(X=x) = (n C x) * px * (1-p)n-x

a. What is the probability that exactly 8 said that it was consolidating or reducing errands?

Here we have to find P(X=8) :

P(X=8) = (20 C 8) * 0.248 * (1-0.24)20-8

P(X=8) = 0.0515

b. What is the probability that none of them said that it was cutting recreational driving?
That is here we have to find P(X=0).

P(X=0) = (20 C 0)*0.20*(1-0.2)20 = 0.0115

c. What is the probability that more than 7 said that it was cutting recreational driving?

Here we have to find P(X >7) = 1 - P(X <=7)

= 1 - [ P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) ]

= 1 - [0.0115 + 0.0576 + 0.1369 + 0.2054 + 0.2182 + 0.1746 + 0.1091 + 0.0545 ]

= 1 - 0.9679

= 0.0321

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

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