Weekly Math Problem #68

Binomial Distribution. I just thought I'd end this year with a "lighter" problem. This week's problem, which by the way, is the last WMP for 2021, is a word problem. I know how you feel about word problems. Please know that I support you in your feelings about word problems. 😊 Hear me out on this one... I find these kinds of word problems to be very straight forward. Therefore, I don't dislike them as much as other word problems. Once you know that you're dealing with a binomial distribution scenario, you're in good shape. Once you know the given info and non-given info, you're halfway there. Getting through the other half, isn't so bad. 

You will need, at least, a scientific calculator to assist you with the computations. To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     How to use the Binomial distribution formula
        ✔️     How to use your calculator
             

WMP! #68 says...

Happy solving!

P.S. There is nothing wrong with looking it up, even if you're not familiar with it.

Check back on Saturday, December 18th for the solution, which will be posted below ⬇️.

Shameless 🔌 Plug: Follow me on Instagram @TheYoungeLady
Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

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To start this solution, the first thing I did was identify the pertinent information.

Here is a reminder of the formula for the Binomial Distribution:

Next, I take the pertinent information, substitute it appropriately in the formula, and evaluate. I did mention that you should, at least, have a scientific calculator; it's so that you could compute the combination.

I decided to include a computation using Desmos Scientific Calculator.

One last thing...the answer to the question: The probability that exactly 10 of 12 seeds planted will sprout is approximately 0.0702.

▪️ Have you ever worked with the Binomial Distribution before??

▪️ Let me know what you thought about this week's problem in the comments section. 

Thank you for solving with me this week!
Thank you for solving with me anytime this year! ❤️
I am a better problem solver now than I was at the top of 2021.

WMP! #69 is up next but won't be up until January 2022.
See you then and enjoy the holiday season.  😊

Cheers!

The Younge Lady