Question 1203846
<font color=black size=3>
I'll show various methods to compute the answer using a TI84/TI83 calculator and spreadsheet.


There are many online calculators that will do the same such as this one here
<a href="https://www.gigacalculator.com/calculators/binomial-probability-calculator.php">https://www.gigacalculator.com/calculators/binomial-probability-calculator.php</a>
and this one as well
<a href="https://www.omnicalculator.com/statistics/binomial-distribution">https://www.omnicalculator.com/statistics/binomial-distribution</a>


------------------------------------------


TI83 or TI84


Press the button labeled "2ND"
Press the "VARS" key
Scroll down quite a bit until reaching "binomCDF"


The template is
binomCDF(n,p,x)
n = sample size
p = probability of success
x = number of successes


In this case:
n = 7
p = 0.3
x = 4


So you'll type in:
<font color=red>binomCDF(7,0.3,4)</font>


The result of this calculation is approximately <font color=red>0.9712</font>
There's about a 97.12% chance of having less than 5 successes.


Review this page for more info and further examples
<a href="https://www.statology.org/binomial-probabilities-ti-84-calculator/">https://www.statology.org/binomial-probabilities-ti-84-calculator/</a>


------------------------------------------


On a spreadsheet, we'll use the command <font color=red>binomDist</font>


The input we'll do is <font color=red>=binomDist(4,7,0.3,1)</font>
The equal sign needs to be put up front to apply the calculation. 
Otherwise, the spreadsheet will treat it as plaintext.


The general template is
<font color=red>=binomDist(x,n,p,c)</font>
where x,n,p were mentioned earlier. It's unfortunate the order isn't the exact same as the TI84. So be careful if you tend to use both TI84 and spreadsheets.


The c refers to "cumulative"
c = 0 = not cumulative, i.e. use a binomial PDF
c = 1 = cumulative, i.e. use a binomial CDF


The result of the spreadsheet calculation should agree with the TI84.


------------------------------------------


Answer: <font color=red>0.9712</font>
</font>