The instructions are attached to the screenshot. I need help with Parts A-D. Tha

Question

The instructions are attached to the screenshot. I need help with Parts A-D. Thank you.

Score: 0 of 1 pt | 7 of 12 (11 complete HW Score: 86.11%, 10.33 of 12 pts 5.6.179 EQuestion Help The probability is 0 3 that a traffic fata ity involves an intoxicated or alcohol-impaired driver or nonoccupant In nine trattic tatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exaclly three, at least three, at most three b. between two and four, inclusive c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y a. The probability that exactly three tramic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is Round to four decimal places as needed.)

Explanation / Answer

Solution:- Given that p = 0.3 , n = 9

a) P(X = 3) = 0.2268

P(at least 3) = P(X 3) = 1 – P(X <3) = 1 -[P(X = 0) + P(X=1 ) + P(X=2 )]

= 1 – (0.0404 + 0.1556 + 0.2668)
  
= 0.5372
  
P( at most 3) = P(X 3) = P(X = 0) + P(X=1 ) + P(X=2 ) + P(X=3 )

= 0.0404 + 0.1556 + 0.2668 + 0.2268

= 0.6896

b. P(2 X 4) = P(X = 2) + P(X=3 ) + P(X=4 ) = 0.2668 + 0.2268 + 0.1715 = 0.6651

c. Mean = np = 9*0.3 = 2.7

d. Standard deviation = Sqrt(npq)= Sqrt(9*0.3*0.7) = 1.3748

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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