Search
P(z>-2.14)
Find the mean of the probability distribution of the random variable x, which can take only the values 1, 2, and 3. Given that P(1) = 10/33, P(2) = 1/33, and P(3) = 12/33
b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph
Find the center of mass of a triangular lamina with vertices (0,0),(1,0) and (0,2)
if the density function is ρ(x,y)=1+3x+3y
A box contains 58 red marbles, 14 yellow marbles, and 28 blue marbles. All the marbles are of the same size. Three marbles are drawn at random from the box, first one, then a second, and then a third. Determine the probability of getting one red marble, one yellow marble, and one blue marble with replacement.
As studied, the average number of hours spent by senior high school students for their online classes a week is 25 hours with a standard deviation of 4 hours. Assuming that the study is is true and the data is normally distributed.
1.It is claimed that the average weight of babies at birth is 3.4 kg. The average weight of a random sample of 30 newly born babies was determined.It was found out that the average weight was 3.1 kg. Is there a reason to believe that the average weight of babies at birth is not 3.4 kg? Assume that the population standard deviation is 1.1kg. Use 0.05 level of significance.
number of computers sold per day at a local computer store are 0,1,2,3, and 4 with the probabilities 0.1, 0.2, 0.3, 0.2, and 0.2 respectively. Find the variance and standard deviation of the distribution
If a water wave with length L moves with a velocity 𝑣 across a body of water with depth d, as in figure below,
then
𝑣2 = 𝑔𝐿 tanh 2𝜋𝑑, 2𝜋 𝐿
a) If the water is deep, show that 𝑣 ≈ √𝑔𝐿. 2𝜋
b) If the water is shallow, use the Maclaurin series for tanh to show that 𝑣 ≈ √𝑔𝑑. (Thus, in shallow water the velocity of a wave tends to be independent of the length of the wave.)
Consider the functions
f(x)=5 and g(x)=5x.
f(x)=5 and g(x)=5x.
The value of g(x)−f(x)
g(x)−f(x) is
