Which one of the following is NOT an assumption of the binomial distribution? Ea

Question

Which one of the following is NOT an assumption of the binomial distribution? Each trial results in cither success or failure. The experiment consists of n identical trials. The probability of success changes from trial to trial. Trials are independent of each other. If a random variable X has a uniform distribution with a mean of 10 and the lowest value of x is 5, what is the largest value of x that can exist? 5 10 15 20 In which of the following situations is it appropriate to approximate the binomial distribution with the Poisson distribution? p = 0.01, n = 100 p = 0.2, n = 100 p = 0.001n, n = 20 p = 0.1, n = 0 The mean and median are the same for a normal distribution. True False Fill in the Blank. Let X be a continuous uniform random variable on the interval 0

Explanation / Answer

a. A binomial distribution does not require the probability of success to change from one trial to another, hence iii is the answer

b. Since it is a uniform distribution, the difference between the largest value and the mean is the same as the difference between the mean and the lowest value. Therefore, the largest value is 15.

c. The Poisson approximation can be used when n>20 and p is very small. Therefore, the first option is most suitable. The third option may be considered, but it is technically not correct.

d. The median and mean are the same, hence true

e. As the variable is continuous, the probability of any single number will be nearly 0

f. Distribution is a binomial distribution with N=4,p=0.3

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