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let x be a binomial random variable. use the formula to compute the following probabilities;

(a) p(x=2), if n=8 and p=0.1

(b) p(x=5), if n=9 and p=0.5

(c) p(x=9), if n=10 and p=0.95


given: x=60 and s=6 find the z-score that corresponds to each of the following scores up to two decimal places



a. x=70



b. x=58




A sample of size n=3 is to be randomly selected without replacement from a population that has N=5 items whose values are 0,3,6,9 and 12

Find the sampling distribution of the sample mean, x̄

Calculate the mean and the standard deviation of x̄

and verify that Variance(x̄)=


From a population 0,4,8,12 construct sampling distribution of mean for samples of size 2 take without replacement and find its mean and standard error


For a population 0,4,8,12, construct the sampling distribution of mean for samples of size 2 taken with replacement and the find its mean and standard error


X. 1 2 3 4 5


P(x) 1/6 a/6 5/24 a/6 a/12



Find a


Find P(4)


Find P(5)



Pa answer na po kaagad

What is the probability that two or three college students will have exactly the same answer in a 50 item exam including the essays?

Find each of the following percentile points and draw the appropriate normal



curve. Complete your procedures.



1.The results of the entrance examination for freshmen are normally distributed



with 𝑥 = 87 and 𝑠 = 12.5. What is the percentile rank of a score of 90?

There are 7 boys and 5 girls in a youngsters’ club. A committee of 3 boys and 2 girls is to be chosen. How many different possibilities are there?