battery88 said:Homework Statement
If a fair die is tossed 7 times what is the probability of at least two 4s?Homework Equations
The Attempt at a Solution
To solve this I used my TI-84's binomcdf function. I just want to see it I'm doing it correctly.
p(2<=x<=7) = 1 - p(0<=x<=1) = 1 - binomcdf(7,1/6,1) = 0.330
Thanks.
To use the binomcdf function on your TI-84 calculator, first press the "2nd" button, followed by the "VARS" button. Then select "DISTR" and choose option "0:binomcdf(". Next, enter the number of trials (n), probability of success (p), and the number of successes (x) separated by commas. Press "Enter" to calculate the binomial probability.
The binomcdf function calculates the cumulative probability of obtaining a certain number of successes (x) in a fixed number of trials (n) with a given probability of success (p). It calculates the sum of the probabilities of getting 0, 1, 2, ..., x successes.
No, the binomcdf function only works for integer values of x. If you need to calculate the probability of obtaining a non-integer number of successes, you can use the binompdf function or approximate the probability using the binomcdf function with a range of values for x.
The result of the binomcdf function is a decimal number between 0 and 1. This represents the cumulative probability of obtaining x or fewer successes in n trials with a probability of success p. For example, if the result is 0.8, it means that there is an 80% chance of getting x or fewer successes.
Yes, you can use the binomcdf function to calculate the probability of a range of values for x by subtracting the result for the lower value from the result for the higher value. For example, to calculate the probability of getting between 3 and 6 successes, you can use the binomcdf function with x=6 and x=2, and then subtract the result for x=2 from the result for x=6.