The following table indicates bit expressions of codes for numerals 0 to 9 and their appearance probabilities. What is the approximate average bit length per numeral ?

Numeral |
Bit expression |
Appearance probability (%) |

0 |
0 |
40 |

1 |
10 |
19 |

2 |
1100 |
10 |

3 |
11010 |
5 |

4 |
11011 |
5 |

5 |
11100 |
5 |

6 |
11101 |
5 |

7 |
11110 |
5 |

8 |
111110 |
3 |

9 |
111111 |
3 |

a) 2.8

b) 3.6

c) 4.4

d) 5.0

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