a-c Round all answers to 4 decimal places. INCLUDE THE PROBABILITY STATEMENTS wi

Question

a-c Round all answers to 4 decimal places. INCLUDE THE PROBABILITY STATEMENTS with your answers! 1. 500 people, all of whom drive approximately 10,000 miles per year, were classified according to age and the number of auto accidents each has had during the last three years Number of Accidents Under 440 TOTAL Age (in years) 160 80 60 300 90 70 40 200 250 150 100 500 More than 1 TOTAL A person is selected at random from those 500. Let the events be defined as follows U: under 40 0: over 40 0 acc:0 accidents 1 acc: 1 accident l'acc: more than 1 accident a. (lpt) Identify the individual being studied AND the variables described in the contingency table? b. (Ipt) List the Sample Space for each variable? c. (Ipt) What is the probability that the person selected is over 40 and has had more than 1 accident? d. (Ipt) What is the probability that the person selected is either over 40 or has had more than I accident (or both)? e. (Ipt) Find the probability that the person selected is over 40 given that he/she has had more than I accident.

Explanation / Answer

(a)

Subjects: People whom drive approximately 10000 miles per year

The variables are: Age (in years), Number of accidents

(b)

For variable Age:

S = {U, O}

For variable Number of accidents:

S = {0 acc, 1 acc, 1 + acc}

(c)

The probability that the person selected is over 40 (O) and has had more than 1 accident (1+ acc) is

P(O and 1+ acc) = 40 / 500 = 0.0800

(d)

The probability that the person selected is either over 40 (O) or has had more than 1 accident (1+ acc) (or both) is

P(O or 1+ acc)= P(O)+P(1+ acc) - P(O and 1+ acc) =(200/500) + (100/500) - (40 / 500) = 0.5200

(e)

P(O | 1+ acc) = P(O and 1+ acc) / P(1+ acc) = (40/500) / (100/500) = 0.4000

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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