Question 11 (5 points) The probability that a randomly selected commuter listens

Question

Question 11 (5 points) The probability that a randomly selected commuter listens to audiobooks during their commute is 0.37. Suppose that a sample of 11 commuters is selected, what is the probability that at most 3 of them listen to audiobooks? Write only a number as your answer. Round to 2 decimal places (for example 0.24). Do not write as a percentage Save Question 12 (5 points) At a car rental agency, 0.31 of the cars are returned on time. A sample of 13 car rentals is studied. What is the probability that more than 3 of them are returned on time? Write only a number as your answer. Round to 2 decimal places (for example 0.24). Do not write as a percentage.

Explanation / Answer

Result:

Q11).

Binomial distribution used

n=11, p=0.37

P( x 3 ) = P( x=0)+P(x=1)+ P( x=2)+P(x=3)

=0.3714

=0.37 ( two decimals)

Binomial Probabilities Table

X

P(X)

0

0.0062

1

0.0401

2

0.1177

3

0.2074

Q12).

n=13, p=0.31

P( x >3) = 1-(P( x 3)) = 1-( P( x=0)+P(x=1)+ P( x=2)+P(x=3))

= 1-0.3899 =0.6101

= 0.61

Binomial Probabilities Table

X

P(X)

0

0.0080

1

0.0469

2

0.1265

3

0.2084

Binomial Probabilities Table

X

P(X)

0

0.0062

1

0.0401

2

0.1177

3

0.2074

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