Q.1) Given a binomial random variable X with n = 13 and p = 0.76
Calculate the mean of X.
Give your answers in the form x.xx where each x is a digit. Answers in any other form may be marked wrong.
Answer:
Q.2) Given a binomial random variable X with n = 13
and p = 0.76
Calculate the standard deviation X.
Give your answers in the form x.xx where each x is a digit. Answers in any other form may be marked wrong.
Answer:
Q.3) Given a binomial random variable X with n =
16 and p = 0.52
Use BINOMDIST to find the probability P( X>8).
Give your answer in the form x.xx where each x is digit. Answers in any other form may be marked wrong.
Answers:
Q.4) A household goods company has recently set up an on-line order
system, which has been in operation for 73 days.
When a customer attempts to place an on-line order with a company marketing household goods, a computerized system automatically checks whether the customer has exceeded their credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.06. Suppose that on a given day 23 customers attempt to place orders with the company. Assume that the number exceeding their credit limit is distributed as a binomial random variable. On that day:
Find the probability that no customers exceed their credit limit. Give your answer in the form x.xx (i.e. to two decimal places).
Answer:
Q.5) A household goods company has recently set up an on-line order
system, which has been in operation for 73 days.
When a customer attempts to place an on-line order with a company marketing household goods, a computerized system automatically checks whether the customer has exceeded their credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.06. Suppose that on a given day 23 customers attempt to place orders with the company. Assume that the number exceeding their credit limit is distributed as a binomial random variable. On that day:
Find the probability that no more than half the customers exceed their credit limit. Give your answer in the form x.xx (i.e. to two decimal places).
Answer:
Q.6) A household goods company has recently set up an on-line order
system, which has been in operation for 73 days.
When a customer attempts to place an on-line order with a company marketing household goods, a computerized system automatically checks whether the customer has exceeded their credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.06. Suppose that on a given day 23 customers attempt to place orders with the company. Assume that the number exceeding their credit limit is distributed as a binomial random variable. On that day:
What is the expected number of customers exceeding their credit limit on a day when there are 23 customers? Give your answer in the form x.xx (i.e. to two decimal places).
Answer:
Q.1) Given a binomial random variable X with n = 13 and p = 0.76 Calculate the...
Problem 5. Let X be a binomial random variable with parameters n and p. Suppose that we want to generate a random variable Y whose probability mass function is the same as the conditional mass function of X given X-k, for some k-n. Let a = P(X-k), and suppose that the value of a has been computed (a) Give the inverse transform method for generating Y. (b) Give a second method for generating Y (c) For what values of a,...
4. Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.) 5. Let x be a binomial random variable with n = 8, p = 0.2. Find the following value. 6. Let x be a binomial random variable with n = 8, p = 0.3. Find the following value. (Round your answer to three decimal places.)
Let X be a binomial random variable with p 0.3 and n 10. Calculate the following probabilities from the binomial probability mass function. Round your answers to four decimal places (e.g. 98.7654). P(X> 8)
Let X be a binomial random variable with n = 5 and p = 0.30 Use the Binomial Tables to obtain the correct probability distribution Find each probability. 1) P(X = 5) 2) P(X ?= 1)
Let X be a random variable that has a binomial distribution with n = 15 and probability of success p=0.87. What is P(X > 12)? Give your response to at least 3 decimal places. Number
Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? No the approximation is not accurate. At least one the differences between the probabilities from...
(Use computer) Let X represent a binomial random variable with n = 110 and p = 0.19. Find the following probabilities. (Round your final answers to 4 decimal places.) a. P(X ≤ 20) b. P(X = 10) c. P(X > 30) d. P(X ≥ 25) (Use Computer) Let X represent a binomial random variable with n = 190 and p = 0.78. Find the following probabilities. (Round your final answers to 4 decimal places.) Probability a....
If x is a binomial random variable where n = 100 and p = 0.30, find the probability that x is greater than or equal to 35 using the normal approximation to the binomial. (Discuss whether continuity correction is required or not)
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X<2), n=5, p=0.8
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≥7), n=8, p=0.5.