Search & Filtering
Let f : R → R be defined by f(x) = (x3 + 1)/2
a. Prove that f is bijective
b. Determine f -1 (x) and f o f o f -1
The average age of public jeepneys plying in Metro Manila is 15 years. Assume that the standard deviation is 8 years. If a random sample of 25 public jeepneys is chosen, Find the probability that the mean of jeepneys ages is between 12 and 19.
This item is 10 points. A population consists of the five measurements 1, 5, 3, 8, and 10 . Suppose samples of size 2 are drawn from this population.
Compute and find the following:
1) Find the variance of the population.
2) Find the variance of the sampling distribution.
The average age of public jeepneys plying in Metro Manila is 15 years. Assume that the standard deviation is 8 years. If a random sample of 25 public jeepneys is chosen, Find the probability that the mean of jeepneys ages is between 12 and 19.
Kaitlyn is flipping a coin two times, and records the result of each flip. Which of the sets below is the entire sample space?
{HH,TT,HT,TH}
What is the probability of obtaining heads twice?
What is the probability of obtaining heads exactly once?
What is the probability of obtaining heads at least once?
What is the probability of obtaining no heads?
Suppose that the mean stopping time of a particular model of car moving at 40 mph is listed
as 1.8 seconds, with a standard deviation of 0.25 seconds. A random sample of 12 cars obtains a
standard deviation of 0.35 seconds. Test the claim that o = 0.25 seconds at the 0.05 level of significance
Suppose that a survey of 500 randomly selected registered voters are asked whether they voted in
the last presidential election and that 49% said that they had. We wish to test the claim at the a = 0.05 level of
significance that more than 50% of registered voters voted in the last presidential election.
An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining after 20 minutes, to the nearest 10th of a gram?
A particle falls under constant gravity through a distance x, starting from rest. A small resistance per unit mass equal to k times the square of the velocity,acts on the particle. Show that the kinetic energy acquired is approximately mgx(1-kx), neglecting higher powers of k.
A. Assume that the GPA of college students in Luzon is approximately normally distributed. The
average GPA is 2.455 with a standard deviation of 0.66. Find the percentage of students who
obtained GPA below 1.25.
