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The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation is 6.9 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would you expect to have heights.
a) less than 160.0 centimeters?
b) between 171.5 and 182.0 centimeters inclusive?
c) equal to 175.0 centimeters?
d) greater than or equal to 188.0 centimeters?
A company pay its employees an average wage of $15.90 an hour with a standard deviation of $1.50 , if the wages are approximately normally distributed and paid to the nearest cent,
a) what percentage of the workers receive wages between $13.75 and $16.22 an hour inclusive.
b) The highest 5% of the employee hourly wages is greater than what amount?
What level of measurement is required for this qualitative variables?
The IOs of 600 applicants to a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of these students will be rejected on this basis, regardless of their qualifications? Note that IQs are recorded to the nearest integers.
For a car travelling 60 km per hour (kph), the distance required to brake to stop is normally distributed with mean of 20 meters and a standard deviation of 3 meters. Suppose you are travelling 60 kph in a residential area and a car moves abruptly into your path at a distance of 25 meters.
a) if you apply your brakes, what is the probability that you will brake to a stop within 18 meters or less?
b) if the only way to avoid a collision is to brake to a stop, what is the probability that you will avoid the collision?
A normal random variable X has unknown mean and standard deviation. The probability that X exceeds 4 is 0.9722, and the probability that X exceeds 5 is 0.9332. Find mean and standard deviation.
The finished inside the diameter of a piston ring is normally distributed with a mean of 10 cm and a standard deviation of 0.03 cm.
a) what proportion of rings will have inside diameters exceeding 10.075 cm?
b) what is the probability that a piston ring will have an inside diameter between 9.97 and 10.03 cm?
c) below what value of inside diameter will 15% of the piston rings fall?
A student must select eight elective courses from four different departments, with at least one
course from each department. The course offered by each department are intended to maximize
the “knowledge” in a particular discipline. Departments measure knowledge on a 100-point scale
depending on the number of courses taken by the student, as shown in the following chart:
Determine wether the following functions is continuous on the given interval. f(x) = √4-x²
Solve the given problem. Dont forget to show your solutions.
1.AA pop fourulstion consist of the four numbers 1,2,4 and 5. List all the possible samples of sizes n=3 wich can be drawn with replacement from the population. Find the following : a. Population mean b. Population variance c. Population standard deviation d. Mean of the sampling distribution of sample means e. Variance of the sampling distribution of sample means f standard deviation of the sampling distribution of sample means
#340153 on Dec 2023