Use the Appropriate Normal Distribution to Approximate the Resulting Binomial

question 3

Short Answer

Use the appropriate normal distribution to approximate the resulting binomial distribution.
​
An experiment was conducted to test the effectiveness of a new drug in treating a certain disease. The drug was administered to 50 mice that had been previously exposed to the disease. It was found that 35 mice subsequently recovered from the disease. It was determined that the natural recovery rate from the disease is 0.5. Determine the probability that 35 or more of the mice not treated with the drug would recover from the disease.
​
Round your answer to four decimal places, if necessary.
​
The probability is __________.

---

Definitions:

Fixed Expenses

Recurring costs that remain relatively constant regardless of business activity levels, including property leases and insurance premiums.

High-low Method

An approach to estimating the fixed and variable components of costs by analyzing the highest and lowest levels of activity.

Variable Cost

Costs that change in proportion to the level of production or sales volume, such as raw materials and direct labor.

Machine-hour

A unit of measure representing the operation of a machine for one hour, often used to allocate manufacturing overhead.