Question

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:

Answer 1