Self-Paced Calculator Practice for Stats.pdf

# Enter the number 5 first then push math prb and 2npr

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Enter the number 5 first. Then, push MATH, PRB, and 2:nPr. Finally, add the number 3 and press ENTER.

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Calculating combination is the same, except use 3:nCr. Practice 5: Calculate the following values using MATH, PRB: 8! 10 nCr 4 10 nPr 4 Binomial Distribution The binomial distribution can tell you the probability of an event occurring a certain number of times out of an overall number of attempts. For example, you can find the probability that you will get 7 heads when you flip a coin 10 times. To use the binomial distribution, first press the 2ND button followed by the VARS button. VARS is in the upper right of the calculator near the directional arrows, and you will see DISTR written above it. Scroll down this list until you get to A:binompdf( and B:binomcdf(. The difference between the two functions relates to the number of outcomes you would like the probability for. Each function takes three numbers: n,p,r. n = number of tries (called trials) p = probability of success
r = the number of successes you are interested in For example, let’s find the probability of flipping 7 heads out of 10. Choose A:binompdf( from the DISTR menu. Fill in 10, .5, 7. We are flipping 10 times, each flip has a .5 chance of being heads, and we want to know the probability of getting 7 heads. Try it! The answer is 0.117. B:binomcdf( will tell you the probability of getting a certain number of successes or fewer. Try it with the same numbers from above to find the probability of flipping 10 coins and getting 7 or fewer heads. This is a higher probability! Practice 6: If there is a 60% chance of rain each day this week, what is the probability that it will rain on exactly 3 days? What is the chance it will rain on all 7? What is the chance it will rain on 2 or fewer days? Remember to enter the probability of rain on each day as a decimal. Normal Distribution The normal distribution is called a bell-shaped curve. It governs many measurements you can take in the world including the probability someone will be a certain height and the outcomes of random samples. When using the calculator, you will specify a low and high end of the range you are interested in. You will also provide two more numbers which are called mean and standard deviation. The calculator will tell you the proportion of the distribution that the range includes. This can also be thought of as a probability. For example, assume that the mean height of men is 60 inches, and the standard deviation is 4. The calculator can tell you the probability that a random man is between 55 and 58

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inches tall. Start by using 2ND, DISTR and then pick 2:normalcdf(. Enter the low and high end of the range, the mean, and the standard deviation separated by commas. ENTER will run the command and show the probability. It is also possible to use an open ended range. The trick is to use a very large or very small number. Find the probability that a random man is taller than 67 inches. Use a range of 67 to 99999.
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