Using binomial distribution, If n= 8, p= 0.4, find P(X=5) This translates to 5 successes and 3 failures in 8 trials Round to 3 decimal places

Find the mean of Binomial variable with number of trials n=5 and p=0.8

What happens to the t-distribution as the sample size increases?

Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 50 horses are sampled at random from the stable? Round your answer to four decimal places.

X is a normally distributed variable with mean = 60 and standard deviation = 10 %3D For a randomly selected score from this distribution what is the probability that X is less than 42

Scores on an TOFEL for IT school candidates are normally distributed with μ = 140 and s = 14 What is the probability a candidate will likely score above 160? What percentage of candidates will likely score below 140?

If a random member (x) is selected from a normal distribution having a mean of 80 and standard deviation of 5, what is the probability that the value of x lies between 78 and 83? Show your formula etc along with your answer.

The Mean of Binomial distribution is 3 and variance is- · Find 4 (i) the value of n (ii) p ( x 21 ) (iii) p (x<7 )

The processing time for the robogate has a normal distribution with mean 23 sec and standard deviation 2sec. Find the probability that the next operation of the robogate will take 27.4 sec or less. The probability is.

Statistics Question