Answer: a) 0.18, b) 720, c) 500
Step-by-step explanation:
Since we have given that
Score-1 Frequency-11
Score-2 Frequency-5
Score-3 Frequency-7
Score-4 Frequency-9
Score-5 Frequency-12
Score-6 Frequency-50-(11+5+7+9+12)=6
a) relative frequency of scoring a 4 would be :
[tex]\dfrac{9}{50}=0.18[/tex]
b) how many times would you expect to roll a 5 when this dice is thrown 3000 times?
It would become:
[tex]\dfrac{12}{50}\times 3000\\\\=12\times 60\\\\=720[/tex]
c) how many times would you expect to roll a 5 when a FAIR dice is thrown 3000 times?
It would become
[tex]\dfrac{1}{6}\times 3000\\\\=500[/tex]
As we know that probability of getting a 5 from the fair die is given by:
[tex]\dfrac{1}{6}[/tex]
Hence, a) 0.18, b) 720, c) 500
