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The table shows the probability of the letters in the alphabet. The information is based on randomly selecting a letter from a randomly selected passage

The table shows the probability of the letters in the alphabet. The information is based on randomly selecting a letter from a randomly selected passage of text. Use the information given in the table and answer the following questions.

Letter

Probability with respect to the 26 letters

A

0.1

E

0.11

I

0.045

O

0.1

U

0.03

(a) Construct a probability distribution just for the vowels A, E, I, O, and U.

Letter

Probability with respect to 26 letters

Probability with respect to the vowels

A

0.1

enter your response here

E

0.11

enter your response here

I

0.045

enter your response here

O

0.1

enter your response here

U

0.03

enter your response here

(Simplify your answers. Type integers or decimals rounded to three decimal places as needed.)

(b) Choose the correct bar chart which represents the probability distribution of part (a).

A.

A bar chart titled "Vowel" has a horizontal axis with labels "A," "E," "I," "O," and "U" and a vertical axis labeled "Probability" from 0 to 0.5 in intervals of 0.1. The bar chart contains five vertical bars that are over each of the horizontal axis labels. The approximate heights of the bars are as follows, where the horizontal axis label is listed first and the height is listed second: "A," 0.26; "E," 0.29; "I," 0.12; "O," 0.26; "U," 0.08.

Vowel

AEIOU00.10.20.30.40.5Probability

B.

A bar chart titled "Vowel" has a horizontal axis with labels "A," "E," "I," "O," and "U" and a vertical axis labeled "Probability" from 0 to 0.5 in intervals of 0.1. The bar chart contains five vertical bars that are over each of the horizontal axis labels. The approximate heights of the bars are as follows, where the horizontal axis label is listed first and the height is listed second: "A," 0.26; "E," 0.29; "I," 0.26; "O," 0.26; "U," 0.26.

Vowel

AEIOU00.10.20.30.40.5Probability

C.

A bar chart titled "Vowel" has a horizontal axis with labels "A," "E," "I," "O," and "U" and a vertical axis labeled "Probability" from 0 to 0.5 in intervals of 0.1. The bar chart contains five vertical bars that are over each of the horizontal axis labels. The approximate heights of the bars are as follows, where the horizontal axis label is listed first and the height is listed second: "A," 0.29; "E," 0.26; "I," 0.26; "O," 0.29; "U," 0.26.

Vowel

AEIOU00.10.20.30.40.5Probability

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