The city of Fairview runs a swim league for teens aged 13 to 17. Suppose a swimmer from the league is randomly selected. Let X be the age (in years) of the selected swimmer. Here is the probability distribution of X. Value x of X 13 14 15 16 (a) Older than 15: (b) 14 or younger: 0 17 0.28 0.21 0.18 0.18 0.15 P(X=x) For parts (a) and (b) below, find the probability that the randomly selected swimmer has the age described. X S

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The city of Fairview runs a swim league for teens aged 13 to 17. Suppose a swimmer from the league is randomly selected. Let \( X \) be the age (in years) of the selected swimmer. Here is the probability distribution of \( X \).

| Value \( x \) of \( X \) | 13  | 14  | 15  | 16  | 17  |
|--------------------------|-----|-----|-----|-----|-----|
| \( P(X = x) \)           | 0.28| 0.21| 0.18| 0.18| 0.15|

For parts (a) and (b) below, find the probability that the randomly selected swimmer has the age described.

(a) Older than 15: [ ]

(b) 14 or younger: [ ]
Transcribed Image Text:The city of Fairview runs a swim league for teens aged 13 to 17. Suppose a swimmer from the league is randomly selected. Let \( X \) be the age (in years) of the selected swimmer. Here is the probability distribution of \( X \). | Value \( x \) of \( X \) | 13 | 14 | 15 | 16 | 17 | |--------------------------|-----|-----|-----|-----|-----| | \( P(X = x) \) | 0.28| 0.21| 0.18| 0.18| 0.15| For parts (a) and (b) below, find the probability that the randomly selected swimmer has the age described. (a) Older than 15: [ ] (b) 14 or younger: [ ]
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