Police estimate that 77% of drivers wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. If they stop 110 cars, what is the probability they find at least 18 drivers not wearing their seatbelts? Use a Normal approximation.
The probability is?
(Type an integer or a decimal rounded to four decimal places as needed.)
We have here , n = 110 and p = 1-0.77= 0.23
n*p = 110* 0.23 = 25.3
n*q = 110*(1-0.23) = 84.7
Therefore, we need to use here, Normal Approximation for the Binomial Distribution
Police estimate that 77% of drivers wear their seatbelts. They set up a safety roadblock, stopping...
Police estimate that 77% of drivers wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. If they stop 110 cars, what is the probability they find at least 27 drivers not wearing their seatbelts? Use a Normal approximation. The probability is (Type an integer or a decimal rounded to four decimal places as needed.)
Police estimate that 73% of drivers wear their seatbelts They set up a safety roadblock, stopping cars to check for seatbelt use. If they stop 120 cars, what is the probability they find at least 28 drivers not wearing their seatbelts? Use a Normal approximation. The probability is Type an integer or a decimal rounded to four decimal places as needed.)
Police estimate that 84% of drivers wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. If they stop 150 cars, what is the probability they find at least 24 drivers not wearing their seatbelts? Use a Normal approximation.
9) Police They set up a safety roadblock, stopping cars to check for seatbelt use How many cars do they expect to stop before finding a driver whose seatbelt is not buckled estimate that 95% of drivers wear their seatbelts. Assume Independence. a) b) What is the probability that the first unbelted driver is the 6 car stopped ? c) If they stop 16 cars during the first hour, what is the probability that 6 drivers did not wear their...
9) Police They set up a safety roadblock, stopping cars to check for seatbelt use How many cars do they expect to stop before finding a driver whose seatbelt is not buckled estimate that 95% of drivers wear their seatbelts. Assume Independence. a) b) What is the probability that the first unbelted driver is the 6 car stopped ? c) If they stop 16 cars during the first hour, what is the probability that 6 drivers did not wear their...
Homework: Section 4.3 Homework Save Dwscore: 26.67%, 4 of Score: 0 of 1 pt 14 of 15 (4 complete) 4.3.28 Question Help Assume that police estimate that 18% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 40 cars during the first hour. a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts Use the fact that the...
Please Answer and Show all the sections in this question. This is the Probability and Sampling Distribution Model in Statistics Federal law under Title 49 of the United States Code, Chapter 301, Motor Vehicle Safety Standard took effect on January 1, 1968 and required all vehicles (except buses) to be fitted with seat belts in all designated seating positions. While most states have laws requiring seat belt use today, some people still do not “buckle up.” Let’s assume that 90...
Police set up an auto checkpoint at which drivers are stopped and their cars are inspected for safety problems. They find that 25 of the 250 vehicles stopped have at least one safety violation. a) Find a 98% confidence interval for the proportion of drivers in the county that have vehicles with at least one safety violation. Do not make these calculations by hand. Instead, use the 1-PropZInt command in your graphing calculator found under STAT – TESTS. Write out what you...
a. Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 75 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 75 tons and standard deviation σ = 1.6 ton. (a) What is the probability that one car chosen at random will have less than...
P value State your conclusion. Would we perform post-hoc procedures for this data? A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles...