Statistics on TI-83 Calculator

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mathproblem

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1. A Department of Transportation report about air travel found that nationwide, 76% of all flights are on time. Base the following questions on 125 randomly selected flights. You may assume the only outcomes are that a flight is either late or is on time.

(For all probabilities round to tenth of a percent )

a) How many flights would you expect to be late ?
b) Calculate the standard deviation ? (round to hundredths)
c) What is the probability you will have exactly 80 flights on time ?
d) What is the probability you will have 20 or less flights that are late ?
e) What is the probability you will have more than 100 on time ?


Just additional.........I must type out what functions I used on the TI-83 plus calculator and what numbers I put in.
 
mathproblem said:
1. A Department of Transportation report about air travel found that nationwide, 76% of all flights are on time. Base the following questions on 125 randomly selected flights. You may assume the only outcomes are that a flight is either late or is on time.

(For all probabilities round to tenth of a percent )

a) How many flights would you expect to be late ?
b) Calculate the standard deviation ? (round to hundredths)
c) What is the probability you will have exactly 80 flights on time ?
d) What is the probability you will have 20 or less flights that are late ?
e) What is the probability you will have more than 100 on time ?


Just additional.........I must type out what functions I used on the TI-83 plus calculator and what numbers I put in.
Click to expand...

Looks like a binomial distribution - what are your thoughts?
 
To do a binomial distribution on your TI-83 here are the steps.

Press 2nd, VARS. This takes you to the Distribution menu.

Scroll down to 'binompdf" and hit ENTER to answer part c.

Enter in binompdf(number of trials, probability, number of successes)

In this case, binompdf(125,.76, 80)

For part d, use the binom below that one, 'binomcdf'. This is the cumulative function. This is because you have to add up all of them from 0 to 20

Enter in binomcdf(125,.75,20)

Part e is a wee bit trickier. Since we need more than 100 (101 to 125). Then, we have to subtract from 1. 1 being all of them up to 125.

1-binomcdf(125,.76,100)
 
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