Conversions from Lower Tail

The distribution functions on the 10bII+ return values for the lower tail cumulative probability. The lower tail probability corresponds to the area under the curve to the left of the given value. Sometimes you will want to work with areas other than the lower tail. It is easy to convert from lower tail to another area as long as you keep in mind that the total area under the curve is equal to 1, and the Normal and the Student’s T distributions are symmetrical. In other words, the portion of the curve to the left of zero is a mirror image of the portion of the curve to the right of zero.

Example 1

The random variable Z is a standard normal random variable. What is the probability that z is greater than -1.7?

Figure 17

The probability that z is greater than -1.7 is the area of the curve to the right of -1.7. You can calculate the area to the left of -1.7 and subtract it from 1 (total area of the curve).

Table 12-23 Example converting from lower tail

Keys

Display

Description

 

 

 

J7jy]F

 

Since the area is -1.7, change

 

.044565

Calculate the lower tail area.

 

 

the sign.

 

 

 

y1J4

.955435

Subtracts the lower tail from 1.

 

 

 

 

Statistical Calculations 133

Page 140 Page 142
Page 141
Image 141
HP 10bII+ Financial manual Y1J4, Conversions from Lower Tail
Page 140 Page 142

10bII+ Financial specifications

The HP 10bII+ Financial Calculator is a versatile and powerful tool designed to meet the needs of finance students, professionals, and anyone involved in financial planning and analysis. Known for its compactness and user-friendly interface, this calculator incorporates a range of features specifically tailored for financial calculations, making it an essential gadget for banking, real estate, and investment analysis.

At the heart of the HP 10bII+ is its ability to perform a wide variety of financial functions, including time value of money calculations, cash flow analysis, bond pricing, and depreciation. Its built-in functions facilitate the computation of interest rates, present and future values, net present value (NPV), internal rate of return (IRR), and annuities. This array of functionalities allows users to tackle complex financial problems with ease.

One of the standout technologies in the HP 10bII+ is its RPN (Reverse Polish Notation) input system, which allows for efficient data entry and calculation. Users can perform consecutive calculations without the need for parentheses, streamlining the process significantly. Alternatively, the calculator can also function with a standard algebraic input, catering to different user preferences.

The design of the HP 10bII+ is sleek and compact, making it highly portable and easy to handle. With a large, easy-to-read display, it ensures that users can view their calculations clearly, even in low-light environments. The keys are well-spaced and tactile, allowing for a comfortable typing experience during intensive calculations.

The calculator also offers a range of memory functions, enabling users to store and recall important values easily. This is particularly useful for financial professionals who must deal with multiple calculations and refer back to previous results frequently.

Additionally, the HP 10bII+ is powered by two AAA batteries, providing a long battery life that ensures reliability during extended use. It also features an automatic shut-off function, which conserves battery life when the calculator is not in use.

In summary, the HP 10bII+ Financial Calculator is a high-performance device that combines essential financial functions with user-friendly design and robust technology. Whether for educational purposes or professional finance work, its capabilities make it an invaluable asset for anyone dealing with financial calculations and decision-making.
Top Page Image Contents