Question
Asked Oct 15, 2019

I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be awesome! Thank you!

 

Number 7 is the one I'm looking at

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Expert Answer

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Step 1

Binomial distribution:

The binomial distribution gives the probability of number of successes out of n trials in a series of Bernoulli trials.

The probability mass function (pmf) of a binomial random variable X is given as:

X n-x
Б,d
x 0,1. 0p<1;q =1-p
P(Xx)=J
otherwise
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X n-x Б,d x 0,1. 0p<1;q =1-p P(Xx)=J otherwise

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Step 2

Given that there are 4 possible answers for 3 multiple choice questions.

The random variable X, the numbers of questions answered correctly follows the binomial distrib...

Using the EXCEL formula,
=BINOM.DIST(0,3,0.25,0)
Using the EXCEL formula,
P(X 0) 0.4219
P(X 1)0.4219
BINOM.DIST (1,3,0.25,0)
Using the EXCEL formula,
BINOM.DIST (2,3,0.25,0)
Using the EXCEL formula,
=BINOM.DIST(3,3,0.25,0)
P(X 2) 0.1406
P(X 3) 0.0156
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Using the EXCEL formula, =BINOM.DIST(0,3,0.25,0) Using the EXCEL formula, P(X 0) 0.4219 P(X 1)0.4219 BINOM.DIST (1,3,0.25,0) Using the EXCEL formula, BINOM.DIST (2,3,0.25,0) Using the EXCEL formula, =BINOM.DIST(3,3,0.25,0) P(X 2) 0.1406 P(X 3) 0.0156

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