- #1

- 5

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## Homework Statement

1. A test consists of 10 true-false questions.

(a) In how many ways can it be completed? (HINT: The task of completing the test consists

of 10 stages. Use the Product Rule.)

(b) A student answers the questions by

flipping a coin. Let X denote the number of correctly

answered questions.

(i) The distribution of X is:

binomial

hypergeometric

negative binomial

Poisson

(ii) Find the probability he/she will answer correctly at most 5 of the questions.

## Homework Equations

/ Attempt at a solutiona) i believe this is just 2

^{10}?

b.) i.) is this binomial??

ii.) [itex]\stackrel{n}{k}[/itex] * p

^{k}* (1-p)

^{(n-k)}

p = 1/2

k = 5

n = 10

[itex]\stackrel{n}{k}[/itex]

is n choose k