Among 53- 58 year olds, 41% say they have driven a car while under the influence...

Among 53- 58 year olds, 41% say they have driven a car while under the influence of alcohol. Suppose six 53 to 58 year olds are selected at random. Complete parts (a) through (d) below.

A.) what is the probability that all six have driven a car while under the influence of alcohol?

___ (Round to four decimal places as needed).

B.) what is the probability that at least one has not driven a car while under the influence of alcohol? Round to four decimal places as needed).

C.) What is the probability that none of the six have driven a car while under the influence of alcohol? Round to four decimal places as needed).

D.) What is the probability that at least one has driven a car while under the influence of alcohol? Round to four decimal places as needed).

Solutions

Expert Solution

P(driven a car while under the influence of alcohol) = 0.41

n = 6

a) P(X = 6) = 0.41⁶ = 0.0048

b) P(at least one has not driven a car while under the influence of alcohol) = 1 - P(all of them have driven a car while under the influence of alcohol)

= 1 - (0.41)⁶

= 0.9952

c) P(none of the 6 have driven a car while under the influence of alcohol) = (1 - 0.41)⁶ = 0.0422

d) P(at least one has driven a car while under the influence of alcohol) = 1 - P(none of the 6 have driven a car while under the influence of alcohol) = 1 - 0.0422 = 0.9578

orchestra answered 1 year ago

Next > < Previous

Related Solutions

1) Say that in year 1 both K and L have values of 1 while in...

1) Say that in year 1 both K and L have values of 1 while in year 10 K has a value of 1.35 and L has a value of 1.1. What is the annual rate of change for k (note the lower case, its not K)? 2) China currently faces what demographic issue? a rising emigration b a falling dependency ratio c falling emigration d rising dependency ratio 3) If lenders cannot distinguish between good and poor credit risks...

1. Suppose a car driven under specific conditions gets a mean gas mileage of 40 miles...

1. Suppose a car driven under specific conditions gets a mean gas mileage of 40 miles per gallon with a standard deviation of 3 miles per gallon. On about what percentage of the trips will your gas mileage be above 43 miles per gallon? A.About 68%, because 43 miles per gallon is 2 std. deviations above the mean. By the 68-95-99.7 rule, about 68% of the distribution lies within 2 std. deviations of the mean. B.About 68%, because 43 miles...

) Among drivers who have had a car crash in the last year, 170 were randomly...

) Among drivers who have had a car crash in the last year, 170 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 70 41 22 37 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.025 significance level, test the...

) Among drivers who have had a car crash in the last year, 120 were randomly...

) Among drivers who have had a car crash in the last year, 120 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 49 30 17 24 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.025 significance level, test the...

Among drivers who have had a car crash in the last year, 170 were randomly selected...

Among drivers who have had a car crash in the last year, 170 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 70 41 22 37 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.025 significance level, test the claim...

Among drivers who have had a car crash in the last year, 160160 were randomly selected...

Among drivers who have had a car crash in the last year, 160160 were randomly selected and categorized by age. The results are listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 62 42 21 35 If all age groups have the same crash rate, we would expect (due to the age distribution of licensed drivers) the given age groups to have 16%, 44% ,27%, and 13%1of the crashes, respectively. At the 0.025 significance level, test...

(1 point) Among drivers who have had a car crash in the last year, 220 were...

(1 point) Among drivers who have had a car crash in the last year, 220 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 88 51 31 50 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.05 significance level, test...

Among drivers who have had a car crash in the last year, 130 were randomly selected...

Among drivers who have had a car crash in the last year, 130 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers Age Under 25 25-44 45-64 Over 64 Drivers 52 31 17 30 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively....

One research study of illegal drug use among 12- to 17-year-olds reported a decrease in use...

One research study of illegal drug use among 12- to 17-year-olds reported a decrease in use (from 11.4% in 1997) to 9.9% now. Suppose a survey in a large high school reveals that, in a random sample of 1 comma 047 students, 94 report using illegal drugs. Use a 0.05 significance level to test the principal's claim that illegal drug use in her school is below the current national average. Formulate the null and alternative hypotheses. Choose the correct answer...

Suppose that you want to estimate the number of miles driven per year among all drivers...

Suppose that you want to estimate the number of miles driven per year among all drivers living in Vermont and how the number of miles driven is related to a driver’s age. Suppose that you obtain a list of all drivers licensed by the State of Vermont, then take a simple random sample of 1000 drivers from the list and ask them to complete a survey regarding their driving habits during the last year and their age. A total of...

Subjects