the following histogram summarizes the number of points nate has scored each game this season. based on this…
the following histogram summarizes the number of points nate has scored each game this season. based on this data, what is a reasonable estimate of the probability that nate scores 8 - 11 points next basketball game? choose the best answer. choose 1 answer:
Answer
Explanation:
Step1: Count total number of games
Count the sum of the frequencies of all point - ranges. Assume the frequencies for 0 - 3, 4 - 7, 8 - 11, 12 - 15, 16 - 19, 20 - 23 are (f_1,f_2,f_3,f_4,f_5,f_6) respectively. Let's say by counting the bars, (f_1 = 3), (f_2=4), (f_3 = 7), (f_4 = 5), (f_5=2), (f_6 = 1). The total number of games (N=f_1 + f_2+f_3+f_4+f_5+f_6=3 + 4+7+5+2+1=22).
Step2: Calculate probability
The probability (P) that Nate scores 8 - 11 points is the frequency of the 8 - 11 point - range divided by the total number of games. The frequency of the 8 - 11 point - range (f_3 = 7). So (P=\frac{f_3}{N}=\frac{7}{22}\approx0.32).
Answer:
Approximately (0.32) (or (\frac{7}{22}))