The reasonable estimate of the probability that Nate scores 8-11 points next basketball game is given in option [tex](D)[/tex] i.e. [tex]\frac{8}{25}[/tex] .
What is experimental probability ?
Experimental probability of an event is the ratio of the in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Experimental probability [tex]=\frac{Number\ of\ favorable\ outcomes }{Total\ Number\ of\\ outcomes}[/tex]
We have,
From histogram,
Total number of outcomes score points[tex]=3+5+8+6+2+1=25[/tex]
And,
Number of favorable outcomes on point scores [tex]8-11[/tex] [tex]=8[/tex]
So,
Probability that Nate scores [tex]8-11[/tex] points [tex]=\frac{8}{25}[/tex]
So, the Probability that Nate scores [tex]8-11[/tex] points is [tex]\frac{8}{25}[/tex] .
Hence, we can say that the reasonable estimate of the probability that Nate scores 8-11 points next basketball game is given in option [tex](D)[/tex] i.e. [tex]\frac{8}{25}[/tex] .
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