The length of pregnancies varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. What's the probability that the average …

What are the variance and standard deviation of a binomial distribution with #N=124# and #p=0.85#? What is the difference between the formula for variance and sample variance?

400 meters are normally distributed with a mean of 84 seconds and a standard deviation of 6 seconds. What percentage of the times are more than 72? Statistics Statistical Distributions …

Oct 17, 2017 · ...then multiply the OUTER terms. So, that's the first term in the first binomial, and the last one in the second binomial: #x^2 * 3 = 3x^2#

Find the percent of a standard normal model found in the region : #z<1.13# What is a discrete probability distribution? What two conditions determine a probability distribution? If the mean …

By deMoivre: color(red)((cos 3 theta + i sin 3 theta) )= (cos theta + i sin theta)^3 And the RHS has binomial expansion: (cos theta + i sin theta)^3 = color(red)( cos ...

The final answer is: 0.2881? What is the mean value for this sampling distribution? What is the probability that a simple random sample will provide a sample of mean within 3 weeks of the …

1/2n (n+1) Given: (1+x)^n = C_0+C_1x+C_2c^2+...+C_nx^n By the binomial theorem: C_k = ""^nC_k = (n!)/ ( (n-k)!k!) So: C_ (k+1)/C_k = (n!)/ ( (n-k-1)! (k+1)!) -: (n ...

Conjugates- In algebra, a conjugate is a binomial formed by negating the second term of a binomial. The conjugate of x + y is x − y, where x and y are real numbers.

Keep in mind that we'll need to distribute this binomial both to the 1 and to the -5/ (x+2).