study on aggressive driving found that 43 % of drivers say that they have yelled at...

study on aggressive driving found that 43 % of drivers say that they have yelled at another driver. A random sample of 280 drivers in Halifax is selected and are asked whether they have yelled at other drivers.

1. What is the distribution of the number of sampled drivers who will say ”yes”, they have yelled at another driver? State only the name of the distribution.

2. What are the mean and standard deviation of the number of sampled drivers who will say "yes"?

The mean:

The standard deviation (Round to three decimals):

3. What is the probability that at least 135 drivers will say ”yes”, they have yelled at another driver? [Hint: use normal approximation]

4. What is the probability that at most 131 drivers will say ”yes”, they have yelled at another driver? [Hint: use normal approximation]

Solutions

Expert Solution

Let X is a random variable shows the number of drivers answered yes. Here X has binomial distribution with parameters as follow:

n = 280 and p=0.43

Using continuity correction factor, the probability that at least 135 drivers will say ”yes”, they have yelled at another driver is

Using continuity correction factor, the probability that at most 131 drivers will say ”yes”, they have yelled at another driver is

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A study on aggressive driving found that 43 % of drivers say that they have yelled...

A study on aggressive driving found that 43 % of drivers say that they have yelled at another driver. A random sample of 280 drivers in Halifax is selected and are asked whether they have yelled at other drivers. . Use the normal approximation to calculate the probability that there will be exactly 131 sampled drivers who will say yes. [Hint: use normal approximation . What is the probability that at least 135 drivers will say ”yes”, they have yelled...

A study on aggressive driving found that 45 % of drivers say that they have yelled...

A study on aggressive driving found that 45 % of drivers say that they have yelled at another driver. A random sample of 280 drivers in Halifax is selected and are asked whether they have yelled at other drivers. 1. What is the distribution of the number of sampled drivers who will say ”yes”, they have yelled at another driver? State only the name of the distribution. 2. What are the mean and standard deviation of the number of sampled...

12% of all drivers do not have a valid driving license, 6% of all drivers have...

12% of all drivers do not have a valid driving license, 6% of all drivers have no insurance, 4% have neither. The probability that a randomly selected driver fails to have insurance, given that he fails to have a valid license is about

A study found that highway drivers in one state traveled at an average speed of 59.7...

A study found that highway drivers in one state traveled at an average speed of 59.7 miles per hour (MPH). Assume the population standard deviation is 6. MPH. Complete parts a through d below. a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 58 MPH? (Round to four decimal places as needed.) b. What is the probability that a sample of 45 of the drivers will have a sample...

The effects of mind-altering products (alcohol intake and medication) on aggressive driving are studied in a...

The effects of mind-altering products (alcohol intake and medication) on aggressive driving are studied in a group of individuals who drink regularly and take prescription medication. Thirty individuals are assigned based on to their respective groups: either a placebo group (those who do not drink or take medication), medication group (whose members regularly take medication), and alcohol group (whose members regularly drink) who will receive an ounce of alcohol 30 minutes before the driving simulation test is given. The dependent...

A seatbelt observation study in Massachusetts found that, not surprisingly, male drivers wear seatbelts less often...

A seatbelt observation study in Massachusetts found that, not surprisingly, male drivers wear seatbelts less often than women do. The study also noted that men’s belt-wearing jumped more than 16 percentage points when they had a female passenger. Seatbelt use was recorded at 161 locations in Massachusetts, using random-sampling methods developed by the National Highway Traffic Safety Administration (NHTSA). Of 4208 male drivers with female passengers, 2777 were belted. But among 2763 male drivers with male passengers only, 1363 wore...

Prospective drivers who enroll in Smart Driver Driving School have always been taught by a conventional...

Prospective drivers who enroll in Smart Driver Driving School have always been taught by a conventional teaching method. The driving school has many branches across provinces. Last year, among all students that took driving lessons from the school in a certain province, 80% passed the provincial road test. This year, the teaching committee came up with a new teaching method. The committee randomly assigned half of its 2400 students enrolled this year to receive the conventional teaching method and the...

Prospective drivers who enrol in Smart Driver Driving School have always been taught by a conventional...

Prospective drivers who enrol in Smart Driver Driving School have always been taught by a conventional teaching method. The driving school has many branches across provinces. Last year, among all students that took driving lessons from the school in a certain province, 80% passed the provincial road test. This year, the teaching committee came up with a new teaching method. The committee randomly assigned half of its 2400 students enrolled this year to receive the conventional teaching method and the...

Are you approximately normal? A study found that only 60% of all married women say...

Are you approximately normal? A study found that only 60% of all married women say that they would marry the same man “if they could do it all over again”. If we randomly sample 15 married women, find the probability that – exactly twelve say they would marry the same man “if they could do it all over again”. at least twelve say that they would marry the same man “if they could do it all over again”. fewer...

A recent study on serious car accidents involving male drivers aged 18-24 found that 50% of...

A recent study on serious car accidents involving male drivers aged 18-24 found that 50% of the accidents were caused by excessive speed, 30% of the accidents caused by mobile phone use and 10% of the accidents involved the driver speeding and using his mobile phone. Hint: Use a Venn diagram to help answer the following questions about the serious car accidents What is the probability that an accident was caused by speeding alone? What is the probability that neither...

Subjects